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A073378 Eighth convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself. 1
1, 9, 63, 345, 1665, 7227, 29073, 109791, 394020, 1354210, 4486482, 14397318, 44932446, 136817370, 407566350, 1190446866, 3415935699, 9645169743, 26836557825, 73670997015, 199751003991, 535449185469 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

For a(n) in terms of U(n+1) and U(n) with U(n) := A001045(n+1) see A073370 and the row polynomials of triangles A073399 and A073400.

LINKS

Table of n, a(n) for n=0..21.

FORMULA

a(n) = sum(b(k) * c(n-k), k=0..n) with b(k) := A001045(k+1) and c(k) := A073377(k).

a(n) = sum(binomial(n-k+8, 8) * binomial(n-k, k) * 2^k, k=0..floor(n/2)).

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

CROSSREFS

Ninth (m=8) column of triangle A073370.

Sequence in context: A178161 A015669 A202982 * A316461 A022733 A111997

Adjacent sequences:  A073375 A073376 A073377 * A073379 A073380 A073381

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 02 2002

STATUS

approved

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Last modified April 24 22:26 EDT 2019. Contains 322446 sequences. (Running on oeis4.)