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A171505
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Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A059738.
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1
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1, 3, 1, 10, 6, 1, 34, 29, 9, 1, 117, 128, 57, 12, 1, 405, 538, 309, 94, 15, 1, 1407, 2192, 1533, 604, 140, 18, 1, 4899, 8740, 7179, 3453, 1040, 195, 21, 1, 17083, 34296, 32278, 18264, 6730, 1644, 259, 24, 1, 59629, 132929, 140790, 91372, 39668, 11877, 2443
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OFFSET
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0,2
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COMMENTS
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Equal to B*A096164 = A171488*B, B=A007318.
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LINKS
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Table of n, a(n) for n=0..51.
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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 = -3, -2, -1, 0 respectively.
T(n,k) = T(n-1,k-1) + 3*T(n-1,k) + sum_{i, i>=0} T(n-1,k+1+i)*(-2)^i. - Philippe Deléham, Feb 23 2012
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EXAMPLE
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Triangle begins :
1 ;
3, 1 ;
10, 6, 1 ;
34, 29, 9, 1 ;
117, 128, 57, 12, 1 ; ...
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CROSSREFS
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Cf. A097609, A064189, A171488, A096164
Sequence in context: A057967 A132964 A171509 * A134283 A035324 A171814
Adjacent sequences: A171502 A171503 A171504 * A171506 A171507 A171508
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KEYWORD
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nonn,tabl
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AUTHOR
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Philippe DELEHAM, Dec 10 2009
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STATUS
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approved
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