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 A325618 Numbers n such that there exists an integer partition of n whose reciprocal factorial sum is 1. 11
 1, 4, 11, 18, 24, 31, 37, 44, 45, 50, 52, 57, 58, 65, 66, 70, 71, 73, 76, 78, 79, 83, 86, 87, 89, 91, 92, 94, 96, 97, 99, 100, 102, 104, 107, 108, 109, 110, 112, 113, 114, 115, 117, 118, 119, 120, 121, 122, 123, 125, 126, 127, 128, 130, 131 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The reciprocal factorial sum of an integer partition (y_1,...,y_k) is 1/y_1! + ... + 1/y_k!. Conjecture: 137 is the greatest integer not in this sequence. - Charlie Neder, May 14 2019 LINKS Charlie Neder, Table of n, a(n) for n = 1..1000 EXAMPLE The sequence of terms together with an integer partition of each whose reciprocal factorial sum is 1 begins:    1: (1)    4: (2,2)   11: (3,3,3,2)   18: (3,3,3,3,3,3)   24: (4,4,4,4,3,3,2)   31: (4,4,4,4,3,3,3,3,3)   37: (4,4,4,4,4,4,4,4,3,2)   44: (4,4,4,4,4,4,4,4,3,3,3,3)   45: (5,5,5,5,5,4,4,4,3,3,2)   50: (4,4,4,4,4,4,4,4,4,4,4,4,2) CROSSREFS Factorial numbers: A000142, A002982, A007489, A011371, A022559, A064986, A115627, A284605, A325616. Reciprocal factorial sum: A002966, A051908, A058360, A316854, A316855, A325619, A325620, A325621, A325622, A325623, A325624. Sequence in context: A133725 A050395 A059771 * A043409 A030610 A003327 Adjacent sequences:  A325615 A325616 A325617 * A325619 A325620 A325621 KEYWORD nonn AUTHOR Gus Wiseman, May 13 2019 EXTENSIONS a(11)-a(55) from Charlie Neder, May 14 2019 STATUS approved

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Last modified April 17 02:18 EDT 2021. Contains 343059 sequences. (Running on oeis4.)