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A240494 Number of partitions of n such that the multiplicity of the greatest part is a part. 5
0, 1, 0, 1, 3, 4, 6, 8, 13, 18, 27, 36, 51, 67, 92, 120, 162, 208, 276, 352, 457, 579, 743, 931, 1183, 1474, 1851, 2293, 2857, 3515, 4347, 5320, 6532, 7955, 9708, 11762, 14279, 17224, 20798, 24986, 30034, 35935, 43012, 51274, 61125, 72617, 86249, 102120 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..47.

EXAMPLE

a(6) counts these 6 partitions:  51, 411, 321, 3111, 2211, 21111.

MATHEMATICA

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

Table[Count[f[n], p_ /; MemberQ[p, Count[p, Mean[p]]]], {n, 0, z}]  (* A240491 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, Median[p]]]], {n, 0, z}]  (* A240492 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, Min[p]]]], {n, 0, z}]  (* A240493 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, Max[p]]]], {n, 0, z}]  (* A240494 *)

Table[Count[f[n], p_ /; MemberQ[p, Count[p, Max[p] - Min[p]]]], {n, 0, z}]  (* A240495 *)

CROSSREFS

Cf. A240491 - A240495.

Sequence in context: A139041 A244607 A136483 * A280250 A004713 A050475

Adjacent sequences:  A240491 A240492 A240493 * A240495 A240496 A240497

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 06 2014

STATUS

approved

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Last modified January 22 05:13 EST 2021. Contains 340360 sequences. (Running on oeis4.)