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A195830 Triangle read by rows with T(n,k) = n - A074377(k), n>=1, k>=1, if (n - A074377(k))>=0. 12

%I #9 Mar 30 2012 17:34:07

%S 0,1,2,3,4,5,6,0,7,1,8,2,9,3,0,10,4,1,11,5,2,12,6,3,13,7,4,14,8,5,15,

%T 9,6,16,10,7,17,11,8,18,12,9,19,13,10,20,14,11,21,15,12,0,22,16,13,1,

%U 23,17,14,2,24,18,15,3,25,19,16,4,26,20,17,5,0

%N Triangle read by rows with T(n,k) = n - A074377(k), n>=1, k>=1, if (n - A074377(k))>=0.

%C Also triangle read by rows in which column k lists the nonnegative integers A001477 starting at the row A074377(k).

%C This sequence is related to the generalized decagonal numbers A074377, A195840 and A195850 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;

%e . 6, 0;

%e . 7, 1;

%e . 8, 2;

%e . 9, 3, 0;

%e . 10, 4, 1;

%e . 11, 5, 2;

%e . 12, 6, 3;

%e . 13, 7, 4;

%e . 14, 8, 5;

%e . 15, 9, 6;

%e . 16, 10, 7;

%e . 17, 11, 8;

%e . 18, 12, 9;

%e . 19, 13, 10;

%e . 20, 14, 11;

%e . 21, 15, 12, 0;

%e . 22, 16, 13, 1;

%e . 23, 17, 14, 2;

%Y Cf. A074377, A195310, A195825, A195826, A195827, A195828, A195829, A195831, A195832, A195833, A195840, A195850.

%K nonn,tabf

%O 1,3

%A _Omar E. Pol_, Sep 24 2011

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Last modified April 23 08:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)