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.

A320226 Number of integer partitions of n whose non-1 parts are all equal.

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%I A320226 #7 Nov 04 2019 19:33:47
%S A320226 1,1,2,3,5,6,9,10,13,15,18,19,24,25,28,31,35,36,41,42,47,50,53,54,61,
%T A320226 63,66,69,74,75,82,83,88,91,94,97,105,106,109,112,119,120,127,128,133,
%U A320226 138,141,142,151,153,158,161,166,167,174,177,184,187,190,191,202
%N A320226 Number of integer partitions of n whose non-1 parts are all equal.
%H A320226 Jonathan Bloom, Nathan McNew, <a href="https://arxiv.org/abs/1908.03953">Counting pattern-avoiding integer partitions</a>, arXiv:1908.03953 [math.CO], 2019.
%F A320226 a(n > 1) = A002541(n - 1) + 1.
%e A320226 The integer partitions whose non-1 parts are all equal:
%e A320226   (1)  (2)   (3)    (4)     (5)      (6)       (7)        (8)
%e A320226        (11)  (21)   (22)    (41)     (33)      (61)       (44)
%e A320226              (111)  (31)    (221)    (51)      (331)      (71)
%e A320226                     (211)   (311)    (222)     (511)      (611)
%e A320226                     (1111)  (2111)   (411)     (2221)     (2222)
%e A320226                             (11111)  (2211)    (4111)     (3311)
%e A320226                                      (3111)    (22111)    (5111)
%e A320226                                      (21111)   (31111)    (22211)
%e A320226                                      (111111)  (211111)   (41111)
%e A320226                                                (1111111)  (221111)
%e A320226                                                           (311111)
%e A320226                                                           (2111111)
%e A320226                                                           (11111111)
%t A320226 Table[Length[Select[IntegerPartitions[n],SameQ@@DeleteCases[#,1]&]],{n,30}]
%Y A320226 Cf. A002541, A003238, A070776, A126656, A316782, A317712, A320224, A320225.
%K A320226 nonn
%O A320226 0,3
%A A320226 _Gus Wiseman_, Oct 07 2018