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Search: id:A071676
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| A071676 |
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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. |
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+0
2
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| 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; listen)
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OFFSET
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0,9
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COMMENT
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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.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A071675.
Sequence in context: A026729 A109466 A076833 this_sequence A115363 A036867 A036866
Adjacent sequences: A071673 A071674 A071675 this_sequence A071677 A071678 A071679
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KEYWORD
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sign,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), May 30 2002
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