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

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, 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, 0, 21, 17, 14, 6, 1, 22, 18, 15, 7, 2, 23, 19, 16, 8, 3

Offset: 1

Author

Omar E. Pol, Sep 24 2011

Keywords

• nonn
• tabf

Comments

Also triangle read by rows in which column k lists the nonnegative integers A001477 starting at the row A001082(k).

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.

Examples

			Written as a triangle:
.  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, 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;  0;
. 21, 17, 14,  6;  1;
. 22, 18, 15,  7;  2;
		

Crossrefs

Cf. A001082, A195310, A195825, A195826, A195827, A195829, A195830, A195831, A195832, A195833, A195838, A195848.