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A125170
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Binomial transform of an infinite lower triangular matrix with (1,1,2,4,8,...) in every column and the rest zeros. Let the left column = A007051, then for k > 1, T(n,k) = (n-1,k) + (n-1,k-1).
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0
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1, 2, 1, 5, 3, 1, 14, 8, 4, 1, 41, 22, 12, 5, 1, 122, 63, 34, 17, 6, 1, 365, 185, 97, 51, 23, 7, 1, 1094, 550, 282, 148, 74, 30, 8, 1, 3281, 1644, 832, 430, 222, 104, 38, 9, 1
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OFFSET
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0,2
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LINKS
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EXAMPLE
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(5,3) = 34 = 12 + 22 = (4,3) + (4,2).
First few rows of the triangle:
1;
2, 1;
5, 3, 1;
14, 8, 4, 1;
41, 22, 12, 5, 1;
122, 63, 34, 17, 6, 1;
...
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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