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A073377 Seventh convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself. 1
1, 8, 52, 264, 1194, 4872, 18516, 66264, 226083, 740608, 2344232, 7202416, 21562164, 63090288, 180884088, 509245776, 1410356133, 3848340312, 10359516684, 27544099704, 72406891326, 188356187448 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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) := A073376(k).

a(n) = sum(binomial(n-k+7, 7) * binomial(n-k, k) * 2^k, k=0..floor(n/2)).

a(n) = ((328247920+332102604*n+131833680*n^2+26450901*n^3+2844099*n^4+ 156087*n^5+3429*n^6)*(n+1)*U(n+1) +2(141143240+150941694*n+62335731*n^2+ 12873492*n^3+1414314*n^4+78894*n^5+1755*n^6)*(n+2)*U(n))/(7!*3^11) with U(n) := A001045(n+1), n>=0.

G.f.: 1/(1-(1+2*x)*x)^8.

CROSSREFS

Eighth (m=7) column of triangle A073370.

Sequence in context: A107584 A323940 A027225 * A055283 A193427 A022732

Adjacent sequences:  A073374 A073375 A073376 * A073378 A073379 A073380

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 02 2002

STATUS

approved

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Last modified April 20 14:27 EDT 2019. Contains 322310 sequences. (Running on oeis4.)