OFFSET
0,5
COMMENTS
Number of partitions of n into parts 1, 4, and 11. - Joerg Arndt, May 05 2014
LINKS
Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1).
FORMULA
a(n) = floor((n^2+16*n+90+22*cos(n*Pi/2))/88). - Tani Akinari, May 03 2014
a(n) = +a(n-1) +a(n-4) -a(n-5) +a(n-11) -a(n-12) -a(n-15) +a(n-16). - R. J. Mathar, Aug 21 2014
MATHEMATICA
CoefficientList[Series[1/((1 - x) (1 - x^4) (1 - x^11)), {x, 0, 100}], x] (* Wesley Ivan Hurt, Apr 11 2017 *)
LinearRecurrence[{1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1}, {1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 5, 6}, 90] (* Harvey P. Dale, Aug 23 2024 *)
PROG
(PARI) Vec( 1/((1-x)*(1-x^4)*(1-x^11)) +O(x^66) ) \\ Joerg Arndt, May 05 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 11 1999
STATUS
approved