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Triangle read by rows with T(n,k) = n - A000217(k), n>=1, k>=1, if (n - A000217(k))>=0.
13

%I #12 Mar 30 2012 17:34:07

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

%T 10,7,3,13,11,8,4,14,12,9,5,0,15,13,10,6,1,16,14,11,7,2,17,15,12,8,3,

%U 18,16,13,9,4,19,17,14,10,5,20,18,15,11,6,0

%N Triangle read by rows with T(n,k) = n - A000217(k), n>=1, k>=1, if (n - A000217(k))>=0.

%C Also triangle read by rows in which column k lists the nonnegative integers A001477 starting at the row A000217(k).

%C This sequence is related to the generalized hexagonal numbers (A000217), A195836 and A006950 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, 0;

%e . 3, 1;

%e . 4, 2;

%e . 5, 3, 0;

%e . 6, 4, 1;

%e . 7, 5, 2;

%e . 8, 6, 3;

%e . 9, 7, 4, 0;

%e . 10, 8, 5, 1;

%e . 11, 9, 6, 2;

%e . 12, 10, 7, 3;

%e . 13, 11, 8, 4;

%e . 14, 12, 9, 5, 0;

%e . 15, 13, 10, 6, 1;

%e . 16, 14, 11, 7, 2;

%e . 17, 15, 12, 8, 3;

%Y Cf. A000217, A006950, A195310, A195825, A195827, A195828, A195829, A195830, A195831, A195832, A195833, A195836.

%K nonn,tabf

%O 1,3

%A _Omar E. Pol_, Sep 24 2011

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Last modified September 23 10:58 EDT 2024. Contains 376154 sequences. (Running on oeis4.)