A210954 - OEIS

%I #16 Jan 26 2013 13:32:17

%S 1,1,1,1,1,1,1,1,1,1,1,1,2,1,3,1,4,1,-1,4,1,-1,4,1,-1,4,1,-1,4,1,-1,4,

%T 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,-4,13,4,

%U -4,13,4,-4,13,4,-4,13,4,-4,13,4,-4,13,5,-4,14,7,-4,-1

%N Triangle read by rows which arises from A210944 in the same way as A175003 arises from A195310. Column k starts at row A195818(k).

%C The sum of terms of row n is equal to the leftmost term of row n+1. Also 1 together with the row sums give A210964. This sequence is related to the generalized 14-gonal numbers A195818, A210954 and A210964 in the same way as A175003 is related to the generalized pentagonal numbers A001318, A195310 and A000041. See comments in A195825.

%e Written as an irregular triangle:

%e 1;

%e 1;

%e 1;

%e 1;

%e 1;

%e 1;

%e 1;

%e 1;

%e 1;

%e 1;

%e 1,  1;

%e 2,  1;

%e 3,  1;

%e 4,  1, -1;

%e 4,  1, -1;

%e 4,  1, -1;

%e 4,  1, -1;

%e 4,  1, -1;

%e 4,  1, -1;

%e 4,  1, -1;

%e 4,  1, -1;

%e 4,  2, -1;

%e 5,  3, -1;

%e 7,  4, -1;

%e 10, 4, -2;

%e 12, 4, -3;

%e 13, 4, -4;

%e 13, 4, -4;

%e 13, 4, -4;

%e 13, 4, -4;

%e 13, 4, -4;

%e 13, 4, -4;

%e 13, 5, -4;

%e 14, 7, -4, -1;

%Y Cf. A175003, A195818, A195825, A195836, A195837, A195838, A195839, A195840, A195841, A195842, A195843, A210944, A210964.

%K sign,tabf

%O 1,13

%A _Omar E. Pol_, Jun 16 2012