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.

A228823 Triangle read by rows: T(n,k) = total number of parts in all partitions of n that contain k as a part, n>=1, 1<=k<=n.

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%I A228823 #15 Oct 01 2013 13:33:00
%S A228823 1,2,1,5,2,1,9,5,2,1,17,9,5,2,1,27,17,9,5,2,1,46,27,17,9,5,2,1,69,46,
%T A228823 27,17,9,5,2,1,108,69,46,27,17,9,5,2,1,158,108,69,46,27,17,9,5,2,1,
%U A228823 234,158,108,69,46,27,17,9,5,2,1,331,234,158,108,69
%N A228823 Triangle read by rows: T(n,k) = total number of parts in all partitions of n that contain k as a part, n>=1, 1<=k<=n.
%C A228823 Row n lists the first n elements of A093694 in decreasing order.
%F A228823 T(n,k) = A000041(n-k) + A006128(n-k) = A093694(n-k).
%e A228823 Triangle begins:
%e A228823 1;
%e A228823 2,     1;
%e A228823 5,     2,   1;
%e A228823 9,     5,   2,   1;
%e A228823 17,    9,   5,   2,  1;
%e A228823 27,   17,   9,   5,  2,  1;
%e A228823 46,   27,  17,   9,  5,  2,  1;
%e A228823 69,   46,  27,  17,  9,  5,  2,  1;
%e A228823 108,  69,  46,  27, 17,  9,  5,  2,  1;
%e A228823 158, 108,  69,  46, 27, 17,  9,  5,  2,  1;
%e A228823 234, 158, 108,  69, 46, 27, 17,  9,  5,  2,  1;
%e A228823 331, 234, 158, 108, 69, 46, 27, 17,  9,  5,  2,  1;
%Y A228823 Cf. A000041, A006128, A027293, A093694, A182701.
%K A228823 nonn,tabl
%O A228823 1,2
%A A228823 _Omar E. Pol_, Sep 25 2013