A213757 Principal diagonal of the convolution array A213756.

1, 14, 65, 214, 597, 1518, 3649, 8462, 19157, 42646, 93777, 204294, 441781, 949598, 2030849, 4324510, 9174069, 19397574, 40893265, 85981910, 180353621, 377485774, 788527425, 1644165294, 3422550037, 7113537398, 14763947729

Offset

1,2

Links

Clark Kimberling, Table of n, a(n) for n = 1..100

Index entries for linear recurrences with constant coefficients, signature (7,-19,25,-16,4).

Formula

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

a(n) = 7*a(n-1) - 19*a(n-2) + 25*a(n-3) - 16*a(n-4) + 4*a(n-5).

G.f.: f(x)/g(x), where f(x) = x*(1 + 7*x - 14*x^2) and g(x) = (1 - 2*x)^2 (1 - x)^3.

Mathematica

(See A213756.)

Crossrefs

Cf. A213756, A213500.

Sequence in context: A304873 A226754 A058092 * A249290 A336744 A249291

Adjacent sequences: A213754 A213755 A213756 * A213758 A213759 A213760

Keyword

nonn,easy

Author

Clark Kimberling, Jun 20 2012

Status

approved