## A Conversation for The H2IQ Quiz - Be The First Among Equals

### New Balls Please

Pinniped Posted Jan 5, 2009

I'm subscribed too. It's like being one of Arthur's Knights, this. Wow. England's Need or what?

OK. Cool series too.

Not going to be 1, is it? Just 2 terms is root of something >1, which itself must be >1. Then it keeps growing.

After that I resorted to calculator brutality. I doubt it's going to be reducable to a finite series. Does it converge? Probably. In fact yes, rather quickly. Onto a number that doesn't look at all familiar. To 10 places of decimals, it's 1.7579327556.

I have no idea what this number is. I thought for a minute it might be the square root of pi, but it's about 2% light.

### New Balls Please

Icy North Posted Jan 5, 2009

Interesting, Pin

I just tried to generate the series as you did, and got the same result, which is at odds with the published result I have in front of me (It's a well-known mathematical problem, first published in 1911). I'll investigate further...

While you wait, there's DD's puzzle to finish...

### New Balls Please

Pinniped Posted Jan 5, 2009

Recapping DD's actual question:

The 42nd PM of Britain

About whom no hootoo entry is written

But from a link tenuous

Through a project in genesis

If two eastenders don't lead to which fictional creation?

Got as far as Eden as PM and a large Cornish greenhouse, but we still need the eastenders and the fictional creation. If you read the last 30-odd posts of backthread, you'll get all the nuances.

Come on everybody. Let's resurrect an institution

### New Balls Please

Pinniped Posted Jan 5, 2009

Hi Icy

Try Googling that number. Or even this number...

1.7579327566180045327088196382181385

276531999221468377043101355003851102

326744467575723445540002594529709324

718478269567252864058677411085461154

351167459748276498

(I broke it up with returns to avoid the howls of derision that go with page layout disruption)

### New Balls Please

Pinniped Posted Jan 5, 2009

Better yet, try this link:

http://mathworld.wolfram.com/SomossQuadraticRecurrenceConstant.html

It gives the 1911 series (Ramanujan's) too, so you can see where you got confused

### New Balls Please

Demon Drawer Posted Jan 6, 2009

To be fair we were so close to getting my answer I just don't believe that nobody has come up with it yet.

### New Balls Please

O.L.S Whale [1-8+7+(3x7x2)=42] Quite disturbing in appearance, but harmless enough, I assure you! Posted Jan 6, 2009

Queen Victoria?

### New Balls Please

O.L.S Whale [1-8+7+(3x7x2)=42] Quite disturbing in appearance, but harmless enough, I assure you! Posted Jan 6, 2009

You know every time I come back here I feel way out of my intellectual depth, so to speak.

Evil bunch of clever clogses.

### New Balls Please

Icy North Posted Jan 6, 2009

<...so you can see where you got confused>

Well spotted, Pin. I'll say in my defence that I reproduced a misprint in the Penguin Book of Curious and Interesting Numbers. This is what happens when I try to think one up on the spot.

Just to summarise, it's a famous mathematical problem, posed by the Indian genius Srinivasa Ramanujan in 1911. He received no replies, and his proof would probably be unintelligible to you and me, so I'll just state the result - it's 3.

The trouble is, I typed the wrong series (bloody penguins!)

The correct sequence which converges to exactly 3 is:

SQRT(1 + 2*SQRT(1 + 3*SQRT(1 + 4*SQRT(1 + ... [to infinity]

These sums of infinite series may look a bit academic, but they have an applied use in calculating approximate values for functions, as you would need to do in calculators and computers. I have one which will calculate pi to one million places in just 19 iterations. I'll see if there's an edited entry in it...

Back to DD's puzzle...

### New Balls Please

Demon Drawer Posted Jan 6, 2009

Bea as point up further up the thread Eden project has been confirmed already as one link in the chain to the anwer.

Mr Whale the Queen Vic is a fictional pub not a person.

TBH you are only one more bit, a yard, nay a foot, away from making the final connection to the peron in question.

### New Balls Please

Pinniped Posted Jan 6, 2009

OK, let's try some blindingly obvious. Nobody's mentioned Steinbeck yet. His 'East of Eden' is a fictional creation, and also a reinterpretation of the Cain and Abel story. Hence the title

### New Balls Please

Icy North Posted Nov 23, 2010

Such a shame this one died. I came to it late, but this and 'Another quiz' were my favourite threads for a while (There's a link to both on my PS)

### New Balls Please

You can call me TC Posted Nov 24, 2010

Nice to see it here again. What was the question?

### New Balls Please

Recumbentman Posted Nov 24, 2010

Seems to be

The 42nd PM of Britain

About whom no hootoo entry is written

But from a link tenuous

Through a project in genesis

If two eastenders don't lead to which fictional creation?

And it seems that Eden was the 42nd PM, and that links to Genesis. But I don't know my Eastenders; is one called Gar and another Den?

### New Balls Please

Icy North Posted Nov 24, 2010

There certainly was one called Den, but how does this make a fictional creation?

Key: Complain about this post

### New Balls Please

- 6741: Pinniped (Jan 5, 2009)
- 6742: aka Bel - A87832164 (Jan 5, 2009)
- 6743: Icy North (Jan 5, 2009)
- 6744: Pinniped (Jan 5, 2009)
- 6745: Pinniped (Jan 5, 2009)
- 6746: Pinniped (Jan 5, 2009)
- 6747: Demon Drawer (Jan 6, 2009)
- 6748: Beatrice (Jan 6, 2009)
- 6749: O.L.S Whale [1-8+7+(3x7x2)=42] Quite disturbing in appearance, but harmless enough, I assure you! (Jan 6, 2009)
- 6750: O.L.S Whale [1-8+7+(3x7x2)=42] Quite disturbing in appearance, but harmless enough, I assure you! (Jan 6, 2009)
- 6751: Icy North (Jan 6, 2009)
- 6752: Demon Drawer (Jan 6, 2009)
- 6753: Pinniped (Jan 6, 2009)
- 6754: Demon Drawer (Jan 7, 2009)
- 6755: Recumbentman (Nov 23, 2010)
- 6756: Icy North (Nov 23, 2010)
- 6757: Recumbentman (Nov 23, 2010)
- 6758: You can call me TC (Nov 24, 2010)
- 6759: Recumbentman (Nov 24, 2010)
- 6760: Icy North (Nov 24, 2010)

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