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A240872 Number of partitions p of n into distinct parts such that max(p) = 4 + min(p). 3
0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 4, 2, 2, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 4, 2, 2, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 4, 2, 2, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,9
LINKS
EXAMPLE
a(12) counts these 3 partitions: 84, 642, 5421.
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}] (* A171182 *)
Table[Count[f[n], p_ /; Max[p] == 3 + Min[p]], {n, 0, z}] (* A240871 *)
Table[Count[f[n], p_ /; Max[p] == 4 + Min[p]], {n, 0, z}] (* A240872 *)
Table[Count[f[n], p_ /; Max[p] == 5 + Min[p]], {n, 0, z}] (* A240873 *)
CROSSREFS
Sequence in context: A193495 A071068 A352104 * A328806 A326370 A137735
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 15 2014
STATUS
approved

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Last modified July 22 14:00 EDT 2024. Contains 374499 sequences. (Running on oeis4.)