A214092 Principal diagonal of the convolution array A213773.

1, 23, 102, 274, 575, 1041, 1708, 2612, 3789, 5275, 7106, 9318, 11947, 15029, 18600, 22696, 27353, 32607, 38494, 45050, 52311, 60313, 69092, 78684, 89125, 100451, 112698, 125902, 140099, 155325, 171616

Offset

1,2

Links

Clark Kimberling, Table of n, a(n) for n = 1..999

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

Formula

a(n) = (5*n - 15*n^2 + 12*n^3)/2.

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*(1 + 19*x + 16*x^2) and g(x) = (1-x)^4.

Mathematica

(See A213773.)
LinearRecurrence[{4, -6, 4, -1}, {1, 23, 102, 274}, 40] (* Harvey P. Dale, Nov 20 2015 *)

Crossrefs

Cf. A213773.

Cf. A260260 (comment). [Bruno Berselli, Jul 22 2015]

Sequence in context: A140375 A142173 A225584 * A139976 A241746 A142192

Adjacent sequences: A214089 A214090 A214091 * A214093 A214094 A214095

Keyword

nonn,easy

Author

Clark Kimberling, Jul 04 2012

Status

approved