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A238627
Number of partitions p of n such that max(p) - 3*min(p) is a part of p.
1
0, 0, 0, 0, 1, 1, 2, 4, 6, 10, 13, 20, 27, 39, 50, 70, 87, 120, 147, 198, 240, 315, 381, 491, 594, 752, 900, 1130, 1348, 1676, 1992, 2449, 2902, 3540, 4184, 5065, 5969, 7181, 8438, 10095, 11829, 14078, 16460, 19495, 22740, 26818, 31205, 36662, 42571, 49836
OFFSET
1,7
EXAMPLE
a(8) counts these partitions: 521, 431, 4211, 41111.
MATHEMATICA
Table[Count[IntegerPartitions[n], p_ /; MemberQ[p, Max[p] - 3*Min[p]]], {n, 50}]
CROSSREFS
Cf. A238626.
Sequence in context: A140652 A007981 A258847 * A336415 A241821 A280862
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Mar 02 2014
STATUS
approved