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Search: id:A034430
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A034430 Expand arctan(sqrt(x)*sqrt(x+2))/(sqrt(x)*sqrt(x+2)) and multiply n-th term by 1.3.5...(2n+1). +0
3
1, 2, 7, 36, 249, 2190, 23535, 299880, 4426065, 74294010, 1397669175, 29123671500, 665718201225, 16560190196550, 445300709428575, 12869793995058000, 397815487883438625 (list; graph; listen)
OFFSET

0,2

COMMENT

Convolution of A001147 (double factorial numbers) with itself. - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Mar 21 2005

FORMULA

E.g.f.: 1/(1-x)/sqrt(1-2*x). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 11 2003

EXAMPLE

1-2*x/3+7*x^2/15-12*x^3/35+83*x^4/315...

CROSSREFS

Sequence in context: A167199 A007889 A125033 this_sequence A143805 A112293 A090352

Adjacent sequences: A034427 A034428 A034429 this_sequence A034431 A034432 A034433

KEYWORD

nonn

AUTHOR

Jim FitzSimons (cherry(AT)neta.com)

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.


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