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.

A100529 a(n) = minimal k such that n has a partition into k parts with the property that every number <= m can be partitioned into a subset of these parts.

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%I A100529 #8 May 31 2018 11:22:34
%S A100529 1,1,1,1,2,1,1,3,4,3,4,2,2,1,1,12,15,13,14,11,12,9,10,6,6,4,4,2,2,1,1,
%T A100529 84,91,82,89,77,80,70,73,60,63,53,54,43,44,35,36,26,26,20,20,14,14,10,
%U A100529 10,6,6,4,4,2,2,1,1,908
%N A100529 a(n) = minimal k such that n has a partition into k parts with the property that every number <= m can be partitioned into a subset of these parts.
%H A100529 E. O'Shea, <a href="https://dx.doi.org/10.1016/j.disc.2004.07.016">M-partitions: optimal partitions of weight for one scale pan</a>, Discrete Math. 289 (2004), 81-93.
%H A100529 O. J. Rodseth, <a href="https://dx.doi.org/10.1016/j.disc.2006.02.010">Enumeration of M-partitions</a>, Discrete Math., 306 (2006), 694-698.
%F A100529 If 2^m + 2^(m-1) - 1 <= n <= 2^(m+1) - 1 for some m, let i = 2^(m+1) - 1 - n. Then a(n) = A000123([i/2]). This determines half the values.
%Y A100529 Cf. A000123 (binary partitions), A002033 (perfect partitions).
%K A100529 nonn
%O A100529 1,5
%A A100529 _N. J. A. Sloane_, Dec 31 2004