OFFSET
1,3
COMMENTS
For a given partition cn(i,n) means the number of its parts equal to i modulo n.
Short: 0 < 1 + 4 (ZMAAp).
MATHEMATICA
okQ[p_] := Module[{c},
c[k_] := c[k] = Count[Mod[p, 5], k];
c[0] < c[1] + c[4]];
a[n_] := a[n] = Count[okQ /@ IntegerPartitions[n], True];
Table[Print[n, " ", a[n]]; a[n], {n, 1, 54}] (* Jean-François Alcover, Oct 11 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved