A025841 Expansion of 1/((1-x^3)*(1-x^6)*(1-x^7)).

1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 3, 2, 1, 3, 2, 1, 4, 3, 2, 5, 3, 2, 6, 4, 3, 7, 5, 3, 8, 6, 4, 9, 7, 5, 10, 8, 6, 11, 9, 7, 13, 10, 8, 14, 11, 9, 16, 13, 10, 17, 14, 11, 19, 16, 13, 20, 17, 14, 22, 19, 16, 24, 20, 17, 26, 22

Offset

0,7

Comments

Number of partitions of n into parts 3, 6, and 7. - Hoang Xuan Thanh, Sep 04 2025

Links

Table of n, a(n) for n=0..67.

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

Formula

a(n) = floor((n^2 + 30*n + 260)/252 - ((n+7)*(n mod 3) - ((n+2) mod 3))/18). - Hoang Xuan Thanh, Sep 04 2025

Prog

(PARI) a(n) = (n^2 + 30*n + 260 - 14*((n+7)*(n%3) - (n+2)%3))\252 \\ Hoang Xuan Thanh, Sep 04 2025

Crossrefs

Sequence in context: A025672 A025665 A357022 * A138468 A337548 A029296

Adjacent sequences: A025838 A025839 A025840 * A025842 A025843 A025844

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved