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 A284640 Number of positive subset sums of strict integer partitions of n. 27
 1, 1, 4, 4, 7, 13, 17, 23, 34, 49, 62, 87, 112, 149, 199, 249, 318, 408, 512, 635, 820, 991, 1238, 1515, 1864, 2248, 2770, 3326, 4030, 4818, 5808, 6882, 8290, 9756, 11639, 13719, 16236, 18999, 22468, 26144, 30724, 35761, 41754, 48357, 56380, 65018, 75438 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS For a strict integer partition p summing to n, a pair (t,p) is defined to be a positive subset sum if there exists a nonempty subset of p summing to t. LINKS EXAMPLE The a(6)=13 subset sums are: (6,6), (1,51), (5,51), (6,51), (2,42), (4,42), (6,42), (1,321), (2,321), (3,321), (4,321), (5,321), (6,321). MATHEMATICA nn=25; Total/@Table[Function[ptn, Length[Union[Total/@Rest[Subsets[ptn]]]]]/@Select[IntegerPartitions[n], UnsameQ@@#&], {n, nn}] CROSSREFS Cf. A122768, A275972, A276024. Sequence in context: A293678 A063984 A211643 * A036605 A183541 A323657 Adjacent sequences:  A284637 A284638 A284639 * A284641 A284642 A284643 KEYWORD nonn AUTHOR Gus Wiseman, Mar 31 2017 STATUS approved

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Last modified August 8 19:29 EDT 2020. Contains 336298 sequences. (Running on oeis4.)