A240496 - OEIS

A240496

Number of partitions p of n such that the multiplicity of 2*min(p) is a part.

0, 0, 0, 1, 1, 2, 3, 4, 6, 9, 14, 18, 25, 35, 46, 62, 83, 109, 142, 185, 238, 305, 390, 494, 624, 787, 984, 1227, 1528, 1892, 2334, 2876, 3527, 4313, 5267, 6406, 7773, 9416, 11371, 13701, 16481, 19774, 23678, 28305, 33761, 40198, 47789, 56700, 67159, 79438

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OFFSET

0,6

LINKS

Table of n, a(n) for n=0..49.

EXAMPLE

a(9) counts these 9 partitions: 621, 5211, 4221, 42111, 3321, 32211, 321111, 2211111, 21111111.

MATHEMATICA

z = 60; f[n_] := f[n] = IntegerPartitions[n];

Table[Count[f[n], p_ /; MemberQ[p, Count[p, 2*Min[p]]]], {n, 0, z}] (* A240496 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, (Min[p] + Max[p])/2]]], {n, 1, z}] (* A240497 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, Min[p]*Max[p]]]], {n, 0, z}] (* A240498 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, Length[p]]]], {n, 0, z}] (* A240499 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, 2*Length[p]]]], {n, 0, z}] (* A240500 *)

CROSSREFS

Cf. A240497, A240498, A240499, A240500.

Sequence in context: A220126 A328071 A039884 * A212464 A302016 A078620

Adjacent sequences: A240493 A240494 A240495 * A240497 A240498 A240499

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 06 2014

STATUS

approved