

A071676


Array read by antidiagonals of signed variant of trinomial coefficients with T(n,k)=T(n1,k)+T(n1,k1)T(n1,k2) 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
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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 * A115363 A036867 A036866
Adjacent sequences: A071673 A071674 A071675 * A071677 A071678 A071679


KEYWORD

sign,tabl


AUTHOR

Henry Bottomley, May 30 2002


STATUS

approved



