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 A195829 Triangle read by rows with T(n,k) = n - A118277(k), n>=1, k>=1, if (n - A118277(k))>=0. 12

%I

%S 0,1,2,3,4,5,0,6,1,7,2,8,3,0,9,4,1,10,5,2,11,6,3,12,7,4,13,8,5,14,9,6,

%T 15,10,7,16,11,8,17,12,9,18,13,10,0,19,14,11,1,20,15,12,2,21,16,13,3,

%U 22,17,14,4,23,18,15,5,0,24,19,16,6,1,25,20,17,7,2

%N Triangle read by rows with T(n,k) = n - A118277(k), n>=1, k>=1, if (n - A118277(k))>=0.

%C Also triangle read by rows in which column k lists the nonnegative integers A001477 starting at the row A118277(k).

%C This sequence is related to the generalized enneagonal numbers A118277, A195839 and A195849 in the same way as A195310 is related to the generalized pentagonal numbers A001318, A175003 and A000041. See comments in A195825.

%e Written as a triangle:

%e . 0;

%e . 1;

%e . 2;

%e . 3;

%e . 4;

%e . 5, 0;

%e . 6, 1;

%e . 7, 2;

%e . 8, 3, 0;

%e . 9, 4, 1;

%e . 10, 5, 2;

%e . 11, 6, 3;

%e . 12, 7, 4;

%e . 13, 8, 5;

%e . 14, 9, 6;

%e . 15, 10, 7;

%e . 16, 11, 8;

%e . 17, 12, 9;

%e . 18, 13, 10, 0;

%e . 19, 14, 11, 1;

%e . 20, 15, 12, 2;

%Y Cf. A118277, A195310, A195825, A195826, A195827, A195828, A195830, A195831, A195832, A195833, A195839, A195849.

%K nonn,tabf

%O 1,3

%A _Omar E. Pol_, Sep 24 2011

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