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A141343
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Riordan array (1,x/sqrt(2-sqrt(1+4x))).
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2
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1, 0, 1, 0, 2, 1, 0, 2, 4, 1, 0, 4, 8, 6, 1, 0, 2, 16, 18, 8, 1, 0, 12, 24, 44, 32, 10, 1, 0, -12, 48, 90, 96, 50, 12, 1, 0, 72, 48, 180, 240, 180, 72, 14, 1, 0, -190, 160, 308, 544, 530, 304, 98, 16, 1, 0, 700, -40, 600, 1120, 1372, 1032, 476, 128
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OFFSET
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0,5
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COMMENTS
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Factorizes as (1,xc(-x))*(1,x(1+x)/(1-2x)) where c(x) is the g.f. of A000108.
Triangle T(n,k), 0<=k<=n, read by rows, given by [0, 2, -1, -1, -1, -1, -1, -1, -1, ...] DELTA [1, 0, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938. - Philippe Deléham, Nov 15 2008
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LINKS
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EXAMPLE
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Triangle begins
1,
0, 1,
0, 2, 1,
0, 2, 4, 1,
0, 4, 8, 6, 1,
0, 2, 16, 18, 8, 1,
0, 12, 24, 44, 32, 10, 1,
0, -12, 48, 90, 96, 50, 12, 1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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