A195832 Triangle read by rows with T(n,k) = n - A195162(k), n>=1, k>=1, if (n - A195162(k))>=0.

0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 9, 1, 10, 2, 11, 3, 0, 12, 4, 1, 13, 5, 2, 14, 6, 3, 15, 7, 4, 16, 8, 5, 17, 9, 6, 18, 10, 7, 19, 11, 8, 20, 12, 9, 21, 13, 10, 22, 14, 11, 23, 15, 12, 24, 16, 13, 25, 17, 14, 26, 18, 15, 27, 19, 16, 0, 28, 20, 17, 1, 29, 21, 18, 2

Offset

1,3

Comments

Also triangle read by rows in which column k lists the nonnegative integers A001477 starting at the row A195162(k).

This sequence is related to the generalized dodecagonal numbers A195162, A195842 and A195852 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;
.  5;
.  6;
.  7;
.  8,  0;
.  9,  1;
. 10,  2;
. 11,  3,  0;
. 12,  4,  1;
. 13,  5,  2;
. 14,  6,  3;
. 15,  7,  4;
. 16,  8,  5;
. 17,  9,  6;
. 18, 10,  7;

Crossrefs

Cf. A195162, A195310, A195825, A195826, A195827, A195828, A195829, A195830, A195831, A195833, A195842, A195852.

Sequence in context: A326746 A257849 A190727 * A265523 A004184 A160933

Adjacent sequences: A195829 A195830 A195831 * A195833 A195834 A195835

Keyword

nonn,tabf

Author

Omar E. Pol, Sep 24 2011

Status

approved