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A105523 Expansion of 1-xc(-x^2) where c(x) is the g.f. of A000108. +0
11
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 (list; graph; listen)
OFFSET

0,6

COMMENT

Row sums of A105522. Row sums of inverse of A105438.

First column of number triangle A106180.

FORMULA

G.f.: (1+2x-sqrt(1+4x^2))/(2x)

a(n)=0^n+sin(pi*(n-2)/2)(C((n-1)/2)(1-(-1)^n)/2);

CROSSREFS

Cf. A097331, A090192.

Adjacent sequences: A105520 A105521 A105522 this_sequence A105524 A105525 A105526

Sequence in context: A078153 A104035 A115333 this_sequence A126120 A090192 A097331

KEYWORD

easy,sign

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 11 2005

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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