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A162746 Row sums of Fibonacci-Pascal matrix A162745. 1
1, 2, 5, 14, 42, 132, 427, 1402, 4629, 15290, 50412, 165816, 544253, 1783602, 5839313, 19106766, 62504002, 204457540, 668825279, 2188016442, 7158417217, 23421034442, 76632061852, 250740203864, 820430583305, 2684486330562 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Second binomial transform of aerated Fibonacci numbers. Hankel transform is 1,1,1,-1,0,0,0,\ldots.

LINKS

Table of n, a(n) for n=0..25.

Index entries for linear recurrences with constant coefficients, signature (8,-23,28,-11).

FORMULA

G.f.: (1-2x)^3/(1-8x+23x^2-28x^3+11x^4);

a(n)=sum{k=0..floor(n/2), C(n,2k)*2^(n-2k)*F(k+1)}=sum{k=0..n, C(n,k)*2^(n-k)*F(k/2+1)*(1+(-1)^k)/2}.

CROSSREFS

Sequence in context: A287969 A061922 A293498 * A148329 A293499 A024175

Adjacent sequences:  A162743 A162744 A162745 * A162747 A162748 A162749

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jul 12 2009

STATUS

approved

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Last modified December 14 05:36 EST 2019. Contains 329978 sequences. (Running on oeis4.)