A323847 a(n) = (n-1)*(n-2)*(n^2+9*n+12)/24.

1, 0, 0, 4, 16, 41, 85, 155, 259, 406, 606, 870, 1210, 1639, 2171, 2821, 3605, 4540, 5644, 6936, 8436, 10165, 12145, 14399, 16951, 19826, 23050, 26650, 30654, 35091, 39991, 45385, 51305, 57784, 64856, 72556, 80920, 89985, 99789, 110371, 121771, 134030, 147190

Offset

0,4

Comments

Row 2 of array in A323846.

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

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

Formula

G.f.: (x^4-6*x^3+10*x^2-5*x+1)/(1-x)^5. - Alois P. Heinz and Don Knuth, Feb 06 2019

Mathematica

A323847[n_]:=(n-1)(n-2)(n^2+9n+12)/24; Array[A323847, 100, 0] (* or *)
LinearRecurrence[{5, -10, 10, -5, 1}, {1, 0, 0, 4, 16}, 100] (* Paolo Xausa, Nov 15 2023 *)

Crossrefs

Cf. A323846.

Sequence in context: A206918 A056373 A018828 * A114211 A188124 A344857

Adjacent sequences: A323844 A323845 A323846 * A323848 A323849 A323850

Keyword

nonn,easy

Author

N. J. A. Sloane, Feb 06 2019

Extensions

More terms from Alois P. Heinz, Feb 06 2019

Edited with new offset by N. J. A. Sloane, Feb 07 2019 following a suggestion from Don Knuth.

Status

approved