A029193 Expansion of 1/((1-x^2)(1-x^5)(1-x^6)(1-x^7)).

1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 4, 6, 5, 7, 7, 9, 9, 11, 11, 13, 13, 16, 16, 19, 19, 22, 22, 26, 26, 30, 30, 34, 35, 39, 40, 44, 45, 50, 51, 57, 57, 63, 64, 70, 72, 78, 80, 86, 88, 95, 97, 105, 107, 115, 117, 125, 128

Offset

0,7

Links

Table of n, a(n) for n=0..59.

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

Formula

a(n) = a(n-2)+a(n-5)+a(n-6)-a(n-8)-a(n-9)-a(n-11)-a(n-12)+a(n-14)+a(n-15)+a(n-18)-a(n-20). - Wesley Ivan Hurt, Apr 23 2021

Mathematica

CoefficientList[Series[1/((1-x^2)(1-x^5)(1-x^6)(1-x^7)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 15 2020 *)
LinearRecurrence[{0, 1, 0, 0, 1, 1, 0, -1, -1, 0, -1, -1, 0, 1, 1, 0, 0, 1, 0, -1}, {1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 4, 6, 5, 7, 7, 9, 9}, 80] (* Harvey P. Dale, Nov 18 2021 *)

Crossrefs

Sequence in context: A005134 A081651 A269333 * A308052 A005858 A285798

Adjacent sequences: A029190 A029191 A029192 * A029194 A029195 A029196

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved