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A195837 Triangle read by rows which arises from A195827, in the same way as A175003 arises from A195310. Column k starts at row A085787(k). 12
1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 1, -1, 4, 2, -1, 5, 3, -1, 7, 4, -1, 10, 4, -2, 12, 5, -3, 14, 7, -4, -1, 16, 10, -4, -1, 21, 12, -5, -1, 27, 14, -7, -1, 33, 16, -10, -2, 37, 21, -12, -3, 1, 44, 27, -14, -4, 1, 54, 33, -16, -4, 1, 68, 37, -21, -5, 1, 80, 44, -27, -7, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

The sum of terms of row n is equal to the leftmost term of row n+1. It appears that this sequence is related to the generalized heptagonal numbers A085787, A195827 and A036820 in the same way as A175003 is related to the generalized pentagonal numbers A001318, A195310 and A000041. It appears that row sums give A036820. See comments in A195825.

LINKS

Table of n, a(n) for n=1..72.

EXAMPLE

Written as a triangle:

.  1;

.  1;

.  1;

.  1,   1;

.  2,   1;

.  3,   1;

.  4,   1,  -1;

.  4,   2,  -1;

.  5,   3,  -1;

.  7,   4,  -1;

. 10,   4,  -2;

. 12,   5,  -3;

. 14,   7,  -4,  -1;

. 16,  10,  -4,  -1;

. 21,  12,  -5,  -1;

. 27,  14,  -7,  -1;

. 33,  16, -10,  -2;

. 37,  21, -12,  -3,  1;

. 44,  27, -14,  -4,  1;

. 54,  33, -16,  -4,  1;

CROSSREFS

Cf. A085787, A036820, A175003, A195825, A195826, A195827, A195836, A195838, A195839, A195840, A195841, A195842, A195843.

Sequence in context: A195840 A195839 A195838 * A123539 A142593 A226248

Adjacent sequences:  A195834 A195835 A195836 * A195838 A195839 A195840

KEYWORD

sign,tabf

AUTHOR

Omar E. Pol, Sep 24 2011

STATUS

approved

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Last modified February 22 12:00 EST 2020. Contains 332135 sequences. (Running on oeis4.)