A025838 Expansion of 1/((1-x^3)*(1-x^5)*(1-x^10)).

1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 3, 2, 1, 3, 2, 4, 3, 2, 4, 3, 5, 4, 3, 5, 4, 7, 5, 4, 7, 5, 8, 7, 5, 8, 7, 10, 8, 7, 10, 8, 12, 10, 8, 12, 10, 14, 12, 10, 14, 12, 16, 14, 12, 16, 14, 19, 16, 14, 19, 16, 21, 19, 16, 21

Offset

0,11

Comments

Number of partitions of n into parts 3, 5, and 10. - Hoang Xuan Thanh, Sep 02 2025

Links

Table of n, a(n) for n=0..68.

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

Formula

a(n) = floor((n^2 + 42*n + 348 - 6*(n+4)*((n mod 5) + ((n+2) mod 5)))/300). - Hoang Xuan Thanh, Sep 02 2025

Prog

(PARI) a(n) = (n^2 + 42*n + 348 - 6*(n+4)*(n%5 + (n+2)%5))\300 \\ Hoang Xuan Thanh, Sep 02 2025

Crossrefs

Sequence in context: A339814 A135062 A088428 * A285813 A236480 A236508

Adjacent sequences: A025835 A025836 A025837 * A025839 A025840 A025841

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved