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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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11
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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
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OFFSET
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0,1
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COMMENTS
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LINKS
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FORMULA
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O.g.f. for row polynomials: 1 + (t/(1-t))*(1/(1-x)-1/(1-x*t)) = 1 + t*x + (t+t^2)*x^2 + ....
E.g.f. for row polynomials: 1 + (t/(1-t))*(e^x-e^(t*x)) = 1 + t*x + (t+t^2)*x^2/2 + .... (End)
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EXAMPLE
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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
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Essentially the same sequence as A114607.
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KEYWORD
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AUTHOR
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STATUS
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approved
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