OFFSET
0,1
COMMENTS
It is known that a(n) is divisible by 5 (see A071734).
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..1000
James Grime and Brady Haran, Partitions, Numberphile video (2016).
Lasse Winquist, An elementary proof of p(11m+6) == 0 (mod 11), J. Combinatorial Theory 6 1969 56--59. MR0236136 (38 #4434). - From N. J. A. Sloane, Jun 07 2012
FORMULA
MATHEMATICA
Table[PartitionsP[5n+4], {n, 0, 40}] (* Harvey P. Dale, May 30 2013 *)
PROG
(PARI) a(n) = numbpart(5*n+4); \\ Michel Marcus, Jan 07 2015
(Python)
from sympy.ntheory import npartitions
def a(n): return npartitions(5*n+4)
print([a(n) for n in range(33)]) # Michael S. Branicky, May 30 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jun 07 2012
STATUS
approved