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A171505 Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A059738. 1
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Equal to B*A096164 = A171488*B, B=A007318.

LINKS

Table of n, a(n) for n=0..51.

FORMULA

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

EXAMPLE

Triangle begins :

1 ;

3, 1 ;

10, 6, 1 ;

34, 29, 9, 1 ;

117, 128, 57, 12, 1 ; ...

CROSSREFS

Cf. A097609, A064189, A171488, A096164

Sequence in context: A347258 A132964 A171509 * A134283 A035324 A171814

Adjacent sequences:  A171502 A171503 A171504 * A171506 A171507 A171508

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Dec 10 2009

STATUS

approved

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Last modified November 30 18:59 EST 2021. Contains 349424 sequences. (Running on oeis4.)