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A154388
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Triangle T(n,k), 0<=k<=n, read by rows given by [0,1,-1,0,0,0,0,0,0,0,...] DELTA [1,-1,-1,1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938 .
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1
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1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| Sum_{k, 0<=k<=n}T(n,k)*x^(n-k) = A135528(n+1), A000012(n), A040001(n), A153284(n+1) for x = 0,1,2,3 respectively .
G.f.: (1+y*x+(y-y^2)*x^2)/(1-y^2*x^2). - DELEHAM Philippe, Dec 17 2011
Sum_{k, 0<=k<=n} T(n,k)*x^k = A000007(n), A000012(n), A158302(n) for x = 0, 1, 2 respectively.- DELEHAM Philippe, Dec 17 2011
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EXAMPLE
| Triangle begins :
1 ;
0, 1 ;
0, 1, 0 ;
0, 0, 0, 1 ;
0, 0, 0, 1, 0 ;
0, 0, 0, 0, 0, 1 ; ...
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CROSSREFS
| Sequence in context: A014093 A089806 A014069 * A029694 A171894 A085405
Adjacent sequences: A154385 A154386 A154387 * A154389 A154390 A154391
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KEYWORD
| nonn,tabl
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 08 2009
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