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A123110
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Triangle T(n,k), 0<=k<=n, read by rows given by [0,1,0,0,0,0,0,0,0,0,...] DELTA [1,0,-1,1,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.
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5
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1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Essentially the same sequence as A114607.
Also essentially the same as A023532. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 18 2008
Diagonal sums give A123108. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 08 2009]
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FORMULA
| Sum {k,0<=k<=n} T(n,k)*x^k = A000007(n),A028310(n),A095121(n),A123109(n) for x=0,1,2,3 respectively.
G.f.: (1-x+y*x^2)/(1-(1+y)*x+y*x^2). - From DELEHAM Philippe, Nov 01 2011
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EXAMPLE
| Triangle begins:
1;
0, 1;
0, 1, 1;
0, 1, 1, 1;
0, 1, 1, 1, 1;
0, 1, 1, 1, 1, 1;
0, 1, 1, 1, 1, 1, 1;
0, 1, 1, 1, 1, 1, 1, 1;
0, 1, 1, 1, 1, 1, 1, 1, 1;
0, 1, 1, 1, 1, 1, 1, 1, 1, 1;
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CROSSREFS
| Sequence in context: A177978 A110247 A114607 * A004593 A094934 A054354
Adjacent sequences: A123107 A123108 A123109 * A123111 A123112 A123113
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KEYWORD
| nonn,tabl
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 28 2006
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