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.

A183152 Irregular triangle read by rows in which row n lists the emergent parts of all partitions of n, or 0 if such parts do not exist.

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%I A183152 #8 Mar 30 2012 17:34:05
%S A183152 0,0,0,0,2,3,2,4,2,3,3,5,2,4,2,4,2,3,6,3,2,2,5,4,3,5,2,4,7,3,2,2,3,6,
%T A183152 3,5,2,4,2,3,6,3,2,2,5,4,8,4,3,2,2,2,2,4,7,3,6,5,3,5,2,4,7,3,2,2,3,6,
%U A183152 3,5,9,4,3,3,2,2,2,2,5,4,8,4,3,7,6
%N A183152 Irregular triangle read by rows in which row n lists the emergent parts of all partitions of n, or 0 if such parts do not exist.
%C A183152 For the definition of "emergent part" see A182699 and also A182709.
%C A183152 Also [0, 0, 0, 0] followed by the positive integers of the rows that contain zeros in the triangle A193870. For another version see A193827. - Omar E. Pol, Aug 12 2011
%e A183152 If written as a triangle:
%e A183152 0,
%e A183152 0,
%e A183152 0,
%e A183152 0,
%e A183152 2,
%e A183152 3,
%e A183152 2,4,2,3,
%e A183152 3,5,2,4,
%e A183152 2,4,2,3,6,3,2,2,5,4,
%e A183152 3,5,2,4,7,3,2,2,3,6,3,5,
%e A183152 2,4,2,3,6,3,2,2,5,4,8,4,3,2,2,2,2,4,7,3,6,5,
%e A183152 3,5,2,4,7,3,2,2,3,6,3,5,9,4,3,3,2,2,2,2,5,4,8,4,3,7,6
%Y A183152 Row n has length A182699(n). Row sums give A182709.
%Y A183152 Cf. A135010, A138121, A182707.
%K A183152 nonn,tabf
%O A183152 0,5
%A A183152 _Omar E. Pol_, Aug 07 2011