A213846 Antidiagonal sums of the convolution array A213844.

3, 23, 90, 250, 565, 1113, 1988, 3300, 5175, 7755, 11198, 15678, 21385, 28525, 37320, 48008, 60843, 76095, 94050, 115010, 139293, 167233, 199180, 235500, 276575, 322803, 374598, 432390, 496625, 567765

Offset

1,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) = n*(1 + n)*(1 - 2*n + 4*n^2)/6.

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*(3 + 8*x + 5*x^2) and g(x) = (1-x)^5.

Mathematica

(See A213846.)

Crossrefs

Cf. A213846.

Sequence in context: A024196 A196339 A196318 * A301580 A112459 A197303

Adjacent sequences: A213843 A213844 A213845 * A213847 A213848 A213849

Keyword

nonn,easy

Author

Clark Kimberling, Jul 05 2012

Status

approved