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Search: id:A156644
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| 1, 0, 1, -1, 1, 1, -2, 0, 2, 1, -3, -2, 2, 3, 1, -4, -5, 0, 5, 4, 1, -5, -9, -5, 5, 9, 5, 1, -6, -14, -14, 0, 14, 14, 6, 1, -7, -20, -28, -14, 14, 28, 20, 7, 1, -8, -27, -48, -42, 0, 42, 48, 27, 8, 1, -9, -35, -75, -90, -42, 42, 90, 75, 35, 9, 1
(list; table; graph; listen)
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OFFSET
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0,7
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FORMULA
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T(n,k)=A080233(n,n-k) = (-1)^(n-k)*A097808(n,k) . T(n,k)=binomial(n,k)*(2k-n+1)/(k+1). T(n,k)=T(n-1,k-1)+T(n-1,k), k>0 ; T(n,0)=1-n=A024000(n), T(n,n)=1 .
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EXAMPLE
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Triangle begind : 1 ; 0,1 ; -1,1,1 ; -2,0,2,1 ; -3,-2,2,3,1 ; -4,-5,0,5,4,1 ; ...
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CROSSREFS
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Cf. A080956, A120730
Sequence in context: A029183 A138110 A080233 this_sequence A097808 A114325 A101048
Adjacent sequences: A156641 A156642 A156643 this_sequence A156645 A156646 A156647
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KEYWORD
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sign,tabl
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 12 2009
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