A213776 Antidiagonal sums of the convolution array A213774.

1, 8, 30, 81, 184, 376, 717, 1304, 2294, 3941, 6656, 11104, 18361, 30168, 49342, 80441, 130840, 212472, 344645, 558600, 904886, 1465293, 2372160, 3839616, 6214129, 10056296, 16273182, 26332449, 42608824, 68944696, 111557181

Offset

1,2

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (4,-5,1,2,-1).

Formula

a(n) = 4*a(n-1) - 5*a(n-2) + a(n-3) + 2*a(n-4) - a(n-5).

G.f.: f(x)/g(x), where f(x) = x*(1 + 4*x + 3*x^2) and g(x) = (1 - x - x^2)*(1 - x)^3.

a(n) = 6*Fibonacci(n+6) - Lucas(n+5) - 2*n*(2*n+9) - 37. - Ehren Metcalfe, Jul 10 2019

Mathematica

(See A213774.)

Crossrefs

Cf. A213774, A213500.

Sequence in context: A002417 A126858 A232772 * A113751 A343520 A107233

Adjacent sequences: A213773 A213774 A213775 * A213777 A213778 A213779

Keyword

nonn,easy

Author

Clark Kimberling, Jun 21 2012

Status

approved