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A171488 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,... 3
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Equal to A064189*B = B*A054336 = B^(-1)*A035324, B = A007318.

LINKS

Table of n, a(n) for n=0..54.

FORMULA

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

EXAMPLE

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 ; ...

CROSSREFS

Cf. A097609, A064189

Sequence in context: A318942 A188137 A201165 * A171651 A104710 A039598

Adjacent sequences:  A171485 A171486 A171487 * A171489 A171490 A171491

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Dec 10 2009

STATUS

approved

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Last modified October 20 18:08 EDT 2018. Contains 316401 sequences. (Running on oeis4.)