A266745 Expansion of 1/((1-t^5)^2*(1-t)*(1-t^3)*(1-t^7)*(1-t^9)).

1, 1, 1, 2, 2, 4, 5, 6, 8, 10, 14, 16, 20, 24, 29, 37, 42, 50, 59, 69, 82, 94, 108, 124, 143, 164, 185, 210, 237, 267, 302, 336, 375, 419, 465, 518, 572, 631, 696, 766, 843, 922, 1010, 1103, 1203, 1314, 1426, 1549, 1681, 1820, 1972, 2129, 2297, 2476, 2667, 2871, 3082, 3309, 3547, 3800, 4071, 4349, 4646, 4960, 5289, 5639, 6002

Offset

0,4

Links

Matthew House, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1,2,-2,1,-3,3,-3,2,-3,4,-3,4,-3,4,-3,2,-3,3,-3,1,-2,2,-1,1,0,1,-1).

Formula

a(n) = floor((3*n^5 +225*n^4 +6275*n^3 +79875*n^2 +430710*n +1552500)/1701000 + ((2*n^2+1) mod 3)*(2*n+27)/162 + ((4*n^4+1) mod 5)*n/25 + ((2*n^5+3*n^4+2*n^3+n^2+1) mod 7)/7). - Hoang Xuan Thanh, May 02 2026

Mathematica

LinearRecurrence[{1, 0, 1, -1, 2, -2, 1, -3, 3, -3, 2, -3, 4, -3, 4, -3, 4, -3, 2, -3, 3, -3, 1, -2, 2, -1, 1, 0, 1, -1}, {1, 1, 1, 2, 2, 4, 5, 6, 8, 10, 14, 16, 20, 24, 29, 37, 42, 50, 59, 69, 82, 94, 108, 124, 143, 164, 185, 210, 237, 267}, 70] (* Harvey P. Dale, Dec 27 2021 *)

Crossrefs

Sequence in context: A230059 A340445 A302486 * A373219 A062436 A342514

Adjacent sequences: A266742 A266743 A266744 * A266746 A266747 A266748

Keyword

nonn,easy

Author

N. J. A. Sloane, Jan 10 2016

Status

approved