Voozh

A039841

Number of partitions of n satisfying cn(0,5) < cn(2,5) + cn(3,5).

0, 0, 1, 2, 3, 4, 7, 10, 15, 21, 30, 41, 56, 74, 101, 134, 177, 228, 297, 382, 493, 626, 794, 999, 1260, 1575, 1967, 2439, 3022, 3724, 4587, 5618, 6874, 8374, 10189, 12351, 14953, 18041, 21740, 26116, 31329, 37483, 44793, 53392, 63555, 75482, 89537, 105998, 125326, 147885, 174295, 205071, 241000, 282758

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OFFSET

0,4

COMMENTS

For a given partition cn(i,n) means the number of its parts equal to i modulo n.

Short: 0 < 2 + 3 (ZMBBp).

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..2000

MATHEMATICA

okQ[p_] := Module[{c},

c[k_] := c[k] = Count[Mod[p, 5], k];

c[0] < c[2] + c[3]];