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 A114640 Number of partitions of n such that the set of parts and the set of multiplicities of parts are equal. 9
 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 3, 2, 3, 3, 5, 0, 4, 5, 2, 3, 8, 6, 5, 10, 9, 9, 16, 14, 12, 16, 17, 10, 17, 15, 16, 19, 35, 17, 34, 37, 40, 31, 54, 36, 60, 61, 58, 63, 88, 58, 88, 87, 91, 84, 115, 93, 116, 108, 115, 130, 190, 143, 165, 214, 219, 200, 255, 240 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS The Heinz numbers of these partitions are given by A109297. - Gus Wiseman, Apr 02 2019 LINKS EXAMPLE From Gus Wiseman, Apr 02 2019: (Start) The initial terms count the following integer partitions:    0: ()    1: (1)    4: (22)    4: (211)    5: (221)    6: (3111)    8: (41111)    9: (333)   10: (511111)   10: (3331)   10: (322111)   11: (332111)   11: (322211)   12: (6111111)   12: (4221111)   12: (33222)   13: (33322)   13: (333211)   13: (332221)   14: (71111111)   14: (52211111)   14: (4421111)   14: (4222211)   14: (333221) (End) MATHEMATICA Table[Length[Select[IntegerPartitions[n], Union[#]==Union[Length/@Split[#]]&]], {n, 0, 30}] (* Gus Wiseman, Apr 02 2019 *) CROSSREFS Cf. A052335, A087153, A109297, A114639, A115584, A117144, A276429, A324572, A325132, A336031. Sequence in context: A209354 A294446 A318163 * A056890 A321519 A346392 Adjacent sequences:  A114637 A114638 A114639 * A114641 A114642 A114643 KEYWORD nonn AUTHOR Vladeta Jovovic, Feb 18 2006 EXTENSIONS More terms from Alois P. Heinz, Aug 09 2016 STATUS approved

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Last modified January 21 22:08 EST 2022. Contains 350480 sequences. (Running on oeis4.)