A213755 Antidiagonal sums of the convolution array A213753.

1, 9, 44, 160, 491, 1355, 3486, 8546, 20245, 46773, 106048, 236980, 523535, 1145935, 2489202, 5372534, 11532633, 24639513, 52426420, 111146280, 234877811, 494924179, 1040183174, 2181033290, 4563397341, 9529452605

Offset

1,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (8,-26,44,-41,20,-4).

Formula

a(n) = (1/6)*(84 - 21*2^(n+2) + 23*n + 9*n*2^(n+2) - 3*n^2 - 2*n^3).

a(n) = 8*a(n-1) - 26*a(n-2) + 44*a(n-3) - 41*a(n-4) + 20*a(n-5) - 4*a(n-6).

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

Mathematica

(See A213753.)

Crossrefs

Cf. A213753, A213500.

Sequence in context: A267176 A267171 A266763 * A036599 A229404 A059825

Adjacent sequences: A213752 A213753 A213754 * A213756 A213757 A213758

Keyword

nonn,easy

Author

Clark Kimberling, Jun 20 2012

Status

approved