A213848 Principal diagonal of the convolution array A213847.

3, 36, 131, 320, 635, 1108, 1771, 2656, 3795, 5220, 6963, 9056, 11531, 14420, 17755, 21568, 25891, 30756, 36195, 42240, 48923, 56276, 64331, 73120, 82675, 93028, 104211, 116256, 129195, 143060, 157883, 173696

Offset

1,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

a(n) = (-4*n - 3*n^2 + 16*n^3)/3.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).

G.f.: f(x)/g(x), where f(x) = x*(3 + 24*x + 5*x^2) and g(x) = (1-x)^4.

Mathematica

(See A213841.)

Crossrefs

Cf. A213841.

Sequence in context: A324157 A268591 A275560 * A006428 A068619 A247768

Adjacent sequences: A213845 A213846 A213847 * A213849 A213850 A213851

Keyword

nonn,easy

Author

Clark Kimberling, Jul 05 2012

Status

approved