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A239947 Number of partitions of n containing 2*h as a part, where h is the number of distinct parts. 0
0, 0, 1, 0, 1, 1, 3, 2, 3, 4, 9, 9, 12, 16, 23, 24, 37, 48, 62, 78, 100, 114, 157, 195, 241, 302, 375, 451, 584, 695, 844, 1040, 1265, 1519, 1865, 2236, 2728, 3264, 3903, 4660, 5613, 6667, 7935, 9462, 11246, 13209, 15731, 18564, 21885, 25787, 30295, 35535 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Table of n, a(n) for n=0..51.

EXAMPLE

a(11) counts these 9 partitions:  74, 641, 632, 6311, 6221, 62111, 443, 44111, 41111111.

MATHEMATICA

z = 60; d[p_] := d[p] = Length[DeleteDuplicates[p]];  Table[Count[IntegerPartitions[n], p_ /; MemberQ[p, 2*d[p]]], {n, 0, z}]

CROSSREFS

Cf. A239945.

Sequence in context: A201907 A003559 A200599 * A173093 A236361 A227634

Adjacent sequences:  A239944 A239945 A239946 * A239948 A239949 A239950

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Mar 30 2014

STATUS

approved

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Last modified August 10 02:28 EDT 2020. Contains 336367 sequences. (Running on oeis4.)