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A071676 Array read by antidiagonals of signed variant of trinomial coefficients with T(n,k)=T(n-1,k)+T(n-1,k-1)-T(n-1,k-2) starting with T(0,0)=1. 1
1, 0, 1, 0, 1, 1, 0, -1, 2, 1, 0, 0, -1, 3, 1, 0, 0, -2, 0, 4, 1, 0, 0, 1, -5, 2, 5, 1, 0, 0, 0, 0, -8, 5, 6, 1, 0, 0, 0, 3, -5, -10, 9, 7, 1, 0, 0, 0, -1, 8, -15, -10, 14, 8, 1, 0, 0, 0, 0, 2, 11, -30, -7, 20, 9, 1, 0, 0, 0, 0, -4, 15, 6, -49, 0, 27, 10, 1, 0, 0, 0, 0, 1, -10, 41, -14, -70, 12, 35, 11, 1, 0, 0, 0, 0, 0, -5, -6, 77, -56, -90, 30, 44 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

Each column is eventually positive, i.e. for each k there is a number j(k) such that T(n,k) is positive for all n>=j(k). Despite this, each row sum is 1.

LINKS

Table of n, a(n) for n=0..102.

EXAMPLE

Rows start:

1, 0,  0,  0,  0, ...;

1, 1, -1,  0,  0, 0, ...;

1, 2, -1, -2,  1, 0,  0, ...;

1, 3,  0, -5,  0, 3, -1,  0, ...;

1, 4,  2, -8, -5, 8,  2, -4, 1, ...;

etc...

CROSSREFS

Cf. A071675.

Sequence in context: A109466 A259095 A076833 * A319933 A301570 A301567

Adjacent sequences:  A071673 A071674 A071675 * A071677 A071678 A071679

KEYWORD

sign,tabl

AUTHOR

Henry Bottomley, May 30 2002

STATUS

approved

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Last modified November 14 16:58 EST 2018. Contains 317210 sequences. (Running on oeis4.)