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.

A195828 Triangle read by rows with T(n,k) = n - A001082(k), n>=1, k>=1, if (n - A001082(k))>=0.

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%I A195828 #10 Mar 30 2012 17:34:07
%S A195828 0,1,2,3,4,0,5,1,6,2,7,3,0,8,4,1,9,5,2,10,6,3,11,7,4,12,8,5,13,9,6,14,
%T A195828 10,7,15,11,8,0,16,12,9,1,17,13,10,2,18,14,11,3,19,15,12,4,20,16,13,5,
%U A195828 0,21,17,14,6,1,22,18,15,7,2,23,19,16,8,3
%N A195828 Triangle read by rows with T(n,k) = n - A001082(k), n>=1, k>=1, if (n - A001082(k))>=0.
%C A195828 Also triangle read by rows in which column k lists the nonnegative integers A001477 starting at the row A001082(k).
%C A195828 This sequence is related to the generalized octagonal numbers A001082, A195838 and A195848 in the same way as A195310 is related to the generalized pentagonal numbers A001318, A175003 and A000041. See comments in A195825.
%e A195828 Written as a triangle:
%e A195828 .  0;
%e A195828 .  1;
%e A195828 .  2;
%e A195828 .  3;
%e A195828 .  4,  0;
%e A195828 .  5,  1;
%e A195828 .  6,  2;
%e A195828 .  7,  3,  0;
%e A195828 .  8,  4,  1;
%e A195828 .  9,  5,  2;
%e A195828 . 10,  6,  3;
%e A195828 . 11,  7,  4;
%e A195828 . 12,  8,  5;
%e A195828 . 13,  9,  6;
%e A195828 . 14, 10,  7;
%e A195828 . 15, 11,  8,  0;
%e A195828 . 16, 12,  9,  1;
%e A195828 . 17, 13, 10,  2;
%e A195828 . 18, 14, 11,  3;
%e A195828 . 19, 15, 12,  4;
%e A195828 . 20, 16, 13,  5;  0;
%e A195828 . 21, 17, 14,  6;  1;
%e A195828 . 22, 18, 15,  7;  2;
%Y A195828 Cf. A001082, A195310, A195825, A195826, A195827, A195829, A195830, A195831, A195832, A195833, A195838, A195848.
%K A195828 nonn,tabf
%O A195828 1,3
%A A195828 _Omar E. Pol_, Sep 24 2011