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

Author

N. J. A. Sloane, Feb 06 2019

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A323846.

Programs

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 *)

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

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.