A213764 Antidiagonal sums of the convolution array A213762.

1, 8, 31, 90, 225, 516, 1123, 2366, 4885, 9960, 20151, 40578, 81481, 163340, 327115, 654726, 1310013, 2620656, 5242015, 10484810, 20970481, 41941908, 83884851, 167770830, 335542885, 671087096, 1342175623, 2684352786

Offset

1,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (5,-9,7,-2).

Formula

a(n) = -10 + 5*2^(n+1) - 7*n - 2*n^2.

a(n) = 5*a(n-1) - 9*a(n-2) + 7*a(n-3) - 2*a(n-4).

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

Mathematica

(See A213762.)
LinearRecurrence[{5, -9, 7, -2}, {1, 8, 31, 90}, 30] (* Harvey P. Dale, Jan 27 2016 *)

Crossrefs

Cf. A213762, A213500.

Sequence in context: A006322 A319906 A212064 * A335606 A320416 A289613

Adjacent sequences: A213761 A213762 A213763 * A213765 A213766 A213767

Keyword

nonn,easy

Author

Clark Kimberling, Jun 20 2012

Status

approved