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A237596
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Convolution triangle of A000958(n+1).
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0
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1, 1, 1, 3, 2, 1, 8, 7, 3, 1, 24, 22, 12, 4, 1, 75, 73, 43, 18, 5, 1, 243, 246, 156, 72, 25, 6, 1, 808, 844, 564, 283, 110, 33, 7, 1, 2742, 2936, 2046, 1092, 465, 158, 42, 8, 1, 9458, 10334, 7449, 4178, 1906, 714, 217, 52, 9, 1, 33062, 36736, 27231, 15904
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OFFSET
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0,4
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COMMENTS
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Riordan array (f(x)/x, f(x)) where f(x) is the g.f. of A000958.
Reversal of A236918.
Row sums are A109262(n+1).
Diagonal sums are A033297(n+2).
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LINKS
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Table of n, a(n) for n=0..58.
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FORMULA
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G.f. for the column k-1: ((1-sqrt((1-4x))^k/(1+sqrt(1-4*x)+2x)^k)/x
Sum_{k=0..n} T(n,k) = A109262(n+1).
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EXAMPLE
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Triangle begins:
1;
1, 1;
3, 2, 1;
8, 7, 3, 1;
24, 22, 12, 4, 1;
75, 73, 43, 18, 5, 1;
243, 246, 156, 72, 25, 6, 1;
808, 844, 564, 283, 110, 33, 7, 1;
...
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CROSSREFS
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Columns give A000958, A114495
Cf. A109262 (row sums)
Sequence in context: A110439 A327917 A065602 * A292898 A198498 A016648
Adjacent sequences: A237593 A237594 A237595 * A237597 A237598 A237599
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KEYWORD
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nonn,tabl
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AUTHOR
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Philippe Deléham, Feb 09 2014
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STATUS
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approved
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