A025833 - OEIS

A025833

Expansion of 1/((1-x^3)*(1-x^4)*(1-x^11)).

1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 13, 12, 13, 14, 14, 14, 15, 16, 16, 16, 17, 18, 18, 18, 19, 20, 20, 20, 22, 22

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OFFSET

0,12

COMMENTS

Number of partitions of n into parts 3, 4, and 11. - Hoang Xuan Thanh, Aug 26 2025

LINKS

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

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

FORMULA

a(n) = floor((n^2 + 18*n + 264)/264 - (n mod 3)/6 + ((n+2) mod 4)*(2 - ((n+2) mod 4))/8). - Hoang Xuan Thanh, Aug 26 2025

MATHEMATICA

CoefficientList[Series[1/((1-x^3)(1-x^4)(1-x^11)), {x, 0, 70}], x] (* Harvey P. Dale, Jul 25 2011 *)

PROG

(PARI) a(n) = (n^2 + 18*n + 264 - 44*(n%3) + 33*[0, -3, 0, 1][n%4+1])\264 \\ Hoang Xuan Thanh, Aug 26 2025

CROSSREFS

Sequence in context: A023566 A090970 A091972 * A200647 A261625 A237284

Adjacent sequences: A025830 A025831 A025832 * A025834 A025835 A025836

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved