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A097331 Expansion of 1+2x/(1+sqrt(1-4x^2)). +0
6
1, 1, 0, 1, 0, 2, 0, 5, 0, 14, 0, 42, 0, 132, 0, 429, 0, 1430, 0, 4862, 0, 16796, 0, 58786, 0, 208012, 0, 742900, 0, 2674440, 0, 9694845, 0, 35357670, 0, 129644790, 0, 477638700, 0, 1767263190, 0, 6564120420, 0, 24466267020, 0, 91482563640, 0, 343059613650, 0 (list; graph; listen)
OFFSET

0,6

COMMENT

Binomial transform is A097332. Second binomial transform is A014318.

Essentially the same as A126120. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 15 2008

FORMULA

a(n)=0^n+Catalan((n-1)/2)(1-(-1)^n)/2

Unsigned version of A090192, A105523 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 29 2006

CROSSREFS

Sequence in context: A105523 A126120 A090192 this_sequence A094032 A117780 A082974

Adjacent sequences: A097328 A097329 A097330 this_sequence A097332 A097333 A097334

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Aug 05 2004

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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