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A171488
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Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A005773(n+1)= 1,2,5,13,35,96,267,...
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3
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1, 2, 1, 5, 4, 1, 13, 14, 6, 1, 35, 46, 27, 8, 1, 96, 147, 107, 44, 10, 1, 267, 462, 396, 204, 65, 12, 1, 750, 1437, 1404, 858, 345, 90, 14, 1, 2123, 4438, 4835, 3388, 1625, 538, 119, 16, 1, 6046, 13637, 16305, 12802, 7072, 2805, 791, 152, 18, 1
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OFFSET
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0,2
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COMMENTS
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Equal to A064189*B = B*A054336 = B^(-1)*A035324, B = A007318.
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LINKS
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Table of n, a(n) for n=0..54.
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FORMULA
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Sum_{k, 0<=k<=n} T(n,k)*x^k = A005043(n), A001006(n), A005773(n+1), A059738(n) for x = -2, -1, 0, 1 respectively.
T(n,k) = T(n-1,k-1) + 2*T(n-1,k) + sum_{i, i>=0} T(n-1,k+1+i)*(-1)^i. - Philippe Deléham, Feb 23 2012
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EXAMPLE
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Triangle T(n,k) (0<=k<=n) begins : 1 ; 2,1 ; 5,4,1 ; 13,14,6,1 ; 35,46,27,8,1 ; 96,147,107,44,10,1 ; ...
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CROSSREFS
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Cf. A097609, A064189
Sequence in context: A201166 A188137 A201165 * A171651 A104710 A039598
Adjacent sequences: A171485 A171486 A171487 * A171489 A171490 A171491
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KEYWORD
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nonn,tabl
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AUTHOR
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Philippe Deléham, Dec 10 2009
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STATUS
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approved
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