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A241335 Number of partitions p of n not including floor(mean(p)) as a part. 6
1, 0, 0, 0, 1, 1, 3, 4, 7, 9, 15, 18, 29, 36, 49, 65, 91, 108, 152, 184, 244, 311, 394, 473, 639, 772, 955, 1182, 1495, 1772, 2273, 2698, 3337, 4064, 4873, 5832, 7391, 8667, 10277, 12334, 15177, 17698, 21530, 25073, 30033, 36151, 42230, 48931, 59869, 69475 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

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

EXAMPLE

a(6) counts these 3 partitions:  51, 42, 411.

MATHEMATICA

z = 30; f[n_] := f[n] = IntegerPartitions[n];

    Table[Count[f[n], p_ /; MemberQ[p, Floor[Mean[p]]]], {n, 0, z}] (* A241334 *)

    Table[Count[f[n], p_ /; ! MemberQ[p, Floor[Mean[p]]]], {n, 0, z}] (* A241335 *)

    Table[Count[f[n], p_ /; MemberQ[p, Ceiling[Mean[p]]]], {n, 0, z}] (* A241336 *)

    Table[Count[f[n], p_ /; ! MemberQ[p, Ceiling[Mean[p]]]], {n, 0, z}] (* A241337 *)

    Table[Count[f[n], p_ /; MemberQ[p, Round[Mean[p]]]], {n, 0, z}] (* A241338 *)

    Table[Count[f[n], p_ /; ! MemberQ[p, Round[Mean[p]]]], {n, 0, z}] (* A241339 *)

CROSSREFS

Cf. A241334, A241336, A241338, A000041, A241312.

Sequence in context: A163468 A069183 A119907 * A158911 A086772 A301767

Adjacent sequences:  A241332 A241333 A241334 * A241336 A241337 A241338

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 20 2014

STATUS

approved

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Last modified December 3 22:32 EST 2021. Contains 349468 sequences. (Running on oeis4.)