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Search: id:A159856
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| A159856 |
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Triangle read by rows : T(n,0)=n+1, T(n,k)=2*T(n-1,k)-T(n-1,k-1), T(n,k)=0 if k>n and if k<0 . |
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+0
1
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| 1, 2, -1, 3, -4, 1, 4, -11, 6, -1, 5, -26, 23, -8, 1, 6, -57, 72, -39, 10, -1, 7, -120, 201, -150, 59, -12, 1, 8, -247, 522, -501, 268, -83, 14, -1, 9, -502, 1291, -1524, 1037, 434, 111, -16, 1, 10, -1013, 3084, -4339, 3598, -1905, 656, -143, 18, -1
(list; table; graph; listen)
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OFFSET
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0,2
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FORMULA
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Sum_{k=0..n} T(n,k) = A080956(n). Conjecture: sum_{i=0..n} |T(n,k)|=A047926(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 31 2009]
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EXAMPLE
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Triangle begins : 1 ; 2,-1 ; 3,-4,1 4,-11,6,-1 ; 5,-26,23,-8,1 ; ...
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CROSSREFS
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Sequence in context: A078812 A104711 A133112 this_sequence A137649 A104002 A073135
Adjacent sequences: A159853 A159854 A159855 this_sequence A159857 A159858 A159859
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 24 2009
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