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URL: https://oeis.org/A213850

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A213850

Antidiagonal sums of the convolution array A213849.

4

1, 3, 10, 20, 42, 70, 120, 180, 275, 385, 546, 728, 980, 1260, 1632, 2040, 2565, 3135, 3850, 4620, 5566, 6578, 7800, 9100, 10647, 12285, 14210, 16240, 18600, 21080, 23936, 26928, 30345, 33915, 37962, 42180, 46930

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OFFSET

1,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..500

Index entries for linear recurrences with constant coefficients, signature (2,2,-6,0,6,-2,-2,1).

FORMULA

a(n) = (n + 1)*(n + 2)*(3 - 3*(-1)^n + 8*n + 2*n^2)/96.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).

G.f.: f(x)/g(x), where f(x) = x*(1 + x + 2*x^2) and g(x) = (1+x)^3*(1-x)^5.

MATHEMATICA

(See A213849.)

CROSSREFS

Sequence in context: A293765 A295953 A005997 * A381289 A336529 A081205

Adjacent sequences: A213847 A213848 A213849 * A213851 A213852 A213853

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 05 2012

STATUS

approved