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 A240491 Number of partitions p of n such that the multiplicity of the mean of p is a part of p. 5
 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 4, 0, 9, 0, 8, 11, 15, 0, 39, 0, 44, 45, 28, 0, 175, 30, 50, 146, 207, 0, 486, 0, 427, 415, 144, 378, 1736, 0, 236, 1084, 2669, 0, 3022, 0, 3279, 4977, 600, 0, 12557, 1195, 6503, 5959, 11042, 0, 17047, 12549, 25925, 12977, 2174 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS a(n) = 0 if and only if n is a prime or 0. LINKS EXAMPLE a(1) counts these 4 partitions:  52111, 42211, 33211, 32221. 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 - A240494. Sequence in context: A276151 A144412 A337299 * A113750 A282627 A004565 Adjacent sequences:  A240488 A240489 A240490 * A240492 A240493 A240494 KEYWORD nonn,easy AUTHOR Clark Kimberling, Apr 06 2014 STATUS approved

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Last modified January 23 16:29 EST 2022. Contains 350514 sequences. (Running on oeis4.)