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A214092 Principal diagonal of the convolution array A213773. 4
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 18 20:34 EDT 2019. Contains 327181 sequences. (Running on oeis4.)