A025839 Expansion of 1/((1-x^3)*(1-x^5)*(1-x^11)).

1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 5, 6, 7, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 17, 18, 19

Offset

0,12

Comments

Number of partitions of n into parts 3, 5, and 11. - Hoang Xuan Thanh, Sep 04 2025

Links

Table of n, a(n) for n=0..69.

Milan Janjic, On Linear Recurrence Equations Arising from Compositions of Positive Integers, Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.7.

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

Formula

a(n) = floor((n^2 + 19*n + 232 + 37*(((n+2) mod 3) - ((n+1) mod 3)) + 14*(2*((n+3) mod 5) - 2*(n mod 5) + ((n+1) mod 5) - ((n+2) mod 5)))/330). - Hoang Xuan Thanh, Sep 04 2025

Prog

(PARI) a(n) = (n^2+19*n+198 - 110*[0, 1, 0][n%3+1] + 66*[2, 2, 0, 1, 0][n%5+1])\330 \\ Hoang Xuan Thanh, Sep 04 2025

Crossrefs

Sequence in context: A019556 A165640 A082892 * A053261 A123584 A291983

Adjacent sequences: A025836 A025837 A025838 * A025840 A025841 A025842

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved