cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A319056 Number of non-isomorphic multiset partitions of weight n in which (1) all parts have the same size and (2) each vertex appears the same number of times.

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%I A319056 #24 Feb 03 2022 16:43:49
%S A319056 1,1,4,4,10,4,21,4,26,13,28,4,128,4,39,84,150,4,358,4,956,513,86,4,
%T A319056 12549,1864,134,9582,52366,4,301086,4,1042038,407140,336,4690369,
%U A319056 61738312,4,532,28011397,2674943885,4,819150246,4,54904825372,65666759973,1303,4,4319823776760
%N A319056 Number of non-isomorphic multiset partitions of weight n in which (1) all parts have the same size and (2) each vertex appears the same number of times.
%C A319056 a(p) = 4 for p prime. - _Charlie Neder_, Oct 15 2018
%H A319056 Andrew Howroyd, <a href="/A319056/b319056.txt">Table of n, a(n) for n = 0..75</a>
%e A319056 Non-isomorphic representatives of the a(1) = 1 through a(6) = 21 multiset partitions:
%e A319056   (1)  (11)    (111)      (1111)        (11111)          (111111)
%e A319056        (12)    (123)      (1122)        (12345)          (111222)
%e A319056        (1)(1)  (1)(1)(1)  (1234)        (1)(1)(1)(1)(1)  (112233)
%e A319056        (1)(2)  (1)(2)(3)  (11)(11)      (1)(2)(3)(4)(5)  (123456)
%e A319056                           (11)(22)                       (111)(111)
%e A319056                           (12)(12)                       (111)(222)
%e A319056                           (12)(34)                       (112)(122)
%e A319056                           (1)(1)(1)(1)                   (112)(233)
%e A319056                           (1)(1)(2)(2)                   (123)(123)
%e A319056                           (1)(2)(3)(4)                   (123)(456)
%e A319056                                                          (11)(11)(11)
%e A319056                                                          (11)(12)(22)
%e A319056                                                          (11)(22)(33)
%e A319056                                                          (11)(23)(23)
%e A319056                                                          (12)(12)(12)
%e A319056                                                          (12)(13)(23)
%e A319056                                                          (12)(34)(56)
%e A319056                                                          (1)(1)(1)(1)(1)(1)
%e A319056                                                          (1)(1)(1)(2)(2)(2)
%e A319056                                                          (1)(1)(2)(2)(3)(3)
%e A319056                                                          (1)(2)(3)(4)(5)(6)
%Y A319056 Row sums of A322789.
%Y A319056 Cf.  A007716, A049311, A064573, A279787, A283877, A306017, A316980, A316981, A316983, A319616.
%K A319056 nonn
%O A319056 0,3
%A A319056 _Gus Wiseman_, Oct 10 2018
%E A319056 Terms a(12) and beyond from _Andrew Howroyd_, Feb 03 2022