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A091593 Reversion of Jacobsthal numbers A001045. +0
5
1, -1, -1, 5, -3, -21, 51, 41, -391, 407, 1927, -6227, -2507, 49347, -71109, -236079, 966129, 9519, -7408497, 13685205, 32079981, -167077221, 60639939, 1209248505, -2761755543, -4457338681, 30629783831, -22124857219, -206064020315, 572040039283, 590258340811 (list; graph; listen)
OFFSET

0,4

COMMENT

Hankel transform is (-2)^C(n+1,2). [From Paul Barry (pbarry(AT)wit.ie), Apr 28 2009]

LINKS

Index entries for reversions of series

FORMULA

G.f.: (-(1+x)+sqrt(1+2x+9x^2))/(4x)

a(n)=sum{k=0..floor(n/2), binomial(n, 2k)*C(k)*(-1)^(n-k)2^k}, where C(n) is A000108. - Paul Barry (pbarry(AT)wit.ie), May 16 2005

G.f.: 1/(1+x+2x^2/(1+x+2x^2/(1+x+2x^2/(1+x+2x^2/(1+ ... (continued fraction). [From Paul Barry (pbarry(AT)wit.ie), Apr 28 2009]

CROSSREFS

Sequence in context: A099730 A072800 A154825 this_sequence A139699 A069607 A128366

Adjacent sequences: A091590 A091591 A091592 this_sequence A091594 A091595 A091596

KEYWORD

easy,sign

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jan 23 2004

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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