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

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

Offset

1,3

Comments

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

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.

Links

Table of n, a(n) for n=1..76.

Example

Written as a triangle:
.  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;
. 15, 10,  7;
. 16, 11,  8;
. 17, 12,  9;
. 18, 13, 10,  0;
. 19, 14, 11,  1;
. 20, 15, 12,  2;

Crossrefs

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

Sequence in context: A220660 A257846 A203572 * A095874 A279385 A267000

Adjacent sequences: A195826 A195827 A195828 * A195830 A195831 A195832

Keyword

nonn,tabf

Author

Omar E. Pol, Sep 24 2011

Status

approved