A241272 Number of partitions p of n into distinct parts such that max(p) = 5*min(p).

0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 3, 3, 4, 6, 5, 5, 7, 7, 9, 11, 10, 11, 12, 12, 14, 18, 18, 18, 21, 21, 24, 27, 30, 30, 36, 37, 42, 47, 49, 54, 60, 64, 71, 81, 83, 91, 100, 107, 116, 129, 136, 147, 159, 172, 184, 200, 213, 228

Offset

0,13

Links

Table of n, a(n) for n=0..68.

Example

a(12) counts these 2 partitions:  {10,2}, {5,4,2,1}.

Mathematica

z = 40; f[n_] := f[n] = Select[IntegerPartitions[n], Max[Length /@ Split@#] == 1 &];
Table[Count[f[n], p_ /; Max[p] == 2*Min[p]], {n, 0, z}] (* A241035 *)
Table[Count[f[n], p_ /; Max[p] == 3*Min[p]], {n, 0, z}] (* A241063 *)
Table[Count[f[n], p_ /; Max[p] == 4*Min[p]], {n, 0, z}] (* A241069 *)
Table[Count[f[n], p_ /; Max[p] == 5*Min[p]], {n, 0, z}] (* A241272 *)
Table[Count[f[n], p_ /; Max[p] == 6*Min[p]], {n, 0, z}] (* A241273 *)

Crossrefs

Cf. A241035, A241063, A241269, A241273.

Sequence in context: A025852 A190762 A025846 * A358991 A033780 A035210

Adjacent sequences: A241269 A241270 A241271 * A241273 A241274 A241275

Keyword

nonn,easy

Author

Clark Kimberling, Apr 18 2014

Status

approved