A244488 G.f.: (1+x^2+3*x^3+4*x^4+4*x^5+4*x^6+3*x^7+x^8+x^10)/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)).

1, 0, 2, 4, 7, 10, 16, 22, 31, 40, 54, 66, 85, 102, 126, 150, 179, 208, 246, 282, 327, 370, 424, 476, 539, 600, 672, 744, 827, 908, 1004, 1096, 1203, 1308, 1428, 1546, 1679, 1810, 1958, 2104, 2267, 2426, 2606, 2782, 2977, 3170, 3382, 3592, 3823, 4050

Offset

0,3

Links

Table of n, a(n) for n=0..49.

H.-C. Herbig, D. Herden, C. Seaton, On compositions with x^2/(1-x), arXiv preprint arXiv:1404.1022, 2014. See Sect. 6.2.

Index entries for linear recurrences with constant coefficients, signature (0, 1, 1, 1, 0, -1, -2, -1, 0, 1, 1, 1, 0, -1).

Mathematica

CoefficientList[Series[(1+x^2+3x^3+4x^4+4x^5+4x^6+3x^7+x^8+x^10)/ ((1- x^2) (1-x^3)(1-x^4)(1-x^5)), {x, 0, 50}], x] (* or *) LinearRecurrence[{0, 1, 1, 1, 0, -1, -2, -1, 0, 1, 1, 1, 0, -1}, {1, 0, 2, 4, 7, 10, 16, 22, 31, 40, 54, 66, 85, 102}, 50] (* Harvey P. Dale, Apr 14 2018 *)

Crossrefs

Sequence in context: A173726 A000376 A000375 * A365068 A131752 A062365

Adjacent sequences: A244485 A244486 A244487 * A244489 A244490 A244491

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 04 2014

Status

approved