A195830 Triangle read by rows with T(n,k) = n - A074377(k), n>=1, k>=1, if (n - A074377(k))>=0.

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

Offset

1,3

Comments

Also triangle read by rows in which column k lists the nonnegative integers A001477 starting at the row A074377(k).

This sequence is related to the generalized decagonal numbers A074377, A195840 and A195850 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..73.

Example

Written as a triangle:
.  0;
.  1;
.  2;
.  3;
.  4;
.  5;
.  6,  0;
.  7,  1;
.  8,  2;
.  9,  3,  0;
. 10,  4,  1;
. 11,  5,  2;
. 12,  6,  3;
. 13,  7,  4;
. 14,  8,  5;
. 15,  9,  6;
. 16, 10,  7;
. 17, 11,  8;
. 18, 12,  9;
. 19, 13, 10;
. 20, 14, 11;
. 21, 15, 12,  0;
. 22, 16, 13,  1;
. 23, 17, 14,  2;

Crossrefs

Cf. A074377, A195310, A195825, A195826, A195827, A195828, A195829, A195831, A195832, A195833, A195840, A195850.

Sequence in context: A070553 A204453 A275610 * A080743 A265519 A129835

Adjacent sequences: A195827 A195828 A195829 * A195831 A195832 A195833

Keyword

nonn,tabf

Author

Omar E. Pol, Sep 24 2011

Status

approved