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A213755 Antidiagonal sums of the convolution array A213753. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 23 06:38 EDT 2021. Contains 343201 sequences. (Running on oeis4.)