A011888 Partial sums of A011863.

0, 1, 6, 22, 61, 142, 292, 548, 958, 1583, 2498, 3794, 5579, 7980, 11144, 15240, 20460, 27021, 35166, 45166, 57321, 71962, 89452, 110188, 134602, 163163, 196378, 234794, 278999, 329624, 387344, 452880, 527000, 610521, 704310, 809286, 926421, 1056742, 1201332, 1361332

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (5,-9,5,5,-9,5,-1).

Formula

From R. J. Mathar, Mar 24 2011: (Start)

a(n) = (2*n+3)*(6*n^4+36*n^3+76*n^2+66*n+5)/960-(-1)^n/64.

G.f.: x*(1+x+x^2) / ( (1+x)*(x-1)^6 ). (End)

Mathematica

Accumulate[Floor[(Range[50]/2)^4]] (* Paolo Xausa, Jun 05 2026 *)

Crossrefs

Cf. A011863.

Sequence in context: A066188 A071239 A105450 * A081282 A001769 A166020

Adjacent sequences: A011885 A011886 A011887 * A011889 A011890 A011891

Keyword

nonn,easy,changed

Author

R. K. Guy

Extensions

More terms from Paolo Xausa, Jun 05 2026

Status

approved