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.

A330368 Irregular triangle read by rows in which row n lists the ranks of the partitions of n in nonincreasing order.

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%I A330368 #34 Sep 16 2020 02:08:48
%S A330368 0,1,-1,2,0,-2,3,1,0,-1,-3,4,2,1,0,-1,-2,-4,5,3,2,1,1,0,-1,-1,-2,-3,
%T A330368 -5,6,4,3,2,2,1,0,0,0,-1,-2,-2,-3,-4,-6,7,5,4,3,3,2,2,1,1,1,0,0,-1,-1,
%U A330368 -1,-2,-2,-3,-3,-4,-5,-7,8,6,5,4,4,3,3,2,2,2,1,1,1,0,0,0,0,-1,-1,-1,-2,-2,-2,-3,-3,-4,-4,-5,-6,-8
%N A330368 Irregular triangle read by rows in which row n lists the ranks of the partitions of n in nonincreasing order.
%C A330368 The rank of a partition is the largest part minus the number of parts.
%C A330368 For more about this ordering, see A330370.
%C A330368 First differs from A105805 at a(49) = T(7,5).
%e A330368 Triangle begins:
%e A330368                               0;
%e A330368                             1, -1;
%e A330368                           2,  0, -2;
%e A330368                       3,  1,  0, -1, -3;
%e A330368                   4,  2,  1,  0, -1, -2, -4;
%e A330368           5,  3,  2,  1,  1,  0, -1, -1, -2, -3, -5;
%e A330368   6,  4,  3,  2,  2,  1,  0,  0,  0, -1, -2, -2, -3, -4, -6;
%e A330368 ...
%Y A330368 Row n has length A000041(n).
%Y A330368 Row sums give A000004.
%Y A330368 Cf. A105805, A105806, A194547, A194549, A195822, A208478, A209616, A330370.
%K A330368 sign,tabf
%O A330368 1,4
%A A330368 _Omar E. Pol_, Dec 12 2019
%E A330368 Edited by _N. J. A. Sloane_, Sep 15 2020