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

1,3

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.

Links

Table of n, a(n) for n=1..74.

Example

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.

Sequence in context: A049279 A126013 A119974 * A322981 A232749 A181578

Adjacent sequences: A195825 A195826 A195827 * A195829 A195830 A195831

Keyword

nonn,tabf

Author

Omar E. Pol, Sep 24 2011

Status

approved