A195839 Triangle read by rows which arises from A195829, in the same way as A175003 arises from A195310. Column k starts at row A118277(k).

1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 1, -1, 4, 1, -1, 4, 1, -1, 4, 2, -1, 5, 3, -1, 7, 4, -1, 10, 4, -2, 12, 4, -3, 13, 4, -4, 13, 5, -4, 14, 7, -4, -1, 16, 10, -4, -1, 21, 12, -5, -1, 27, 13, -7, -1, 32, 13, -10, -1, 34, 14, -12, -1, 36, 16, -13, -2, 1

Offset

1,8

Comments

The sum of terms of row n is equal to the leftmost term of row n+1. This sequence is related to the generalized enneagonal numbers A118277, A195829 and A195849 in the same way as A175003 is related to the generalized pentagonal numbers A001318, A195310 and A000041. See comments in A195825.

Links

Table of n, a(n) for n=1..70.

Example

Written as a triangle:
.  1;
.  1;
.  1;
.  1;
.  1;
.  1,  1;
.  2,  1;
.  3,  1;
.  4,  1, -1;
.  4,  1, -1;
.  4,  1, -1;
.  4,  2, -1;
.  5,  3, -1;
.  7,  4, -1;
. 10,  4, -2;
. 12,  4, -3;
. 13,  4, -4;
. 13,  5, -4;
. 14,  7, -4, -1;
. 16, 10, -4, -1;
. 21, 12, -5, -1;

Crossrefs

Row sums give A195849.

Cf. A001082, A175003, A195828, A195836, A195837, A195838.

Sequence in context: A195842 A195841 A195840 * A195838 A195837 A123539

Adjacent sequences: A195836 A195837 A195838 * A195840 A195841 A195842

Keyword

sign,tabf

Author

Omar E. Pol, Sep 24 2011

Status

approved