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A110518 Riordan array (1,xc(3x)), c(x) the g.f. of A000108. +0
6
1, 0, 1, 0, 3, 1, 0, 18, 6, 1, 0, 135, 45, 9, 1, 0, 1134, 378, 81, 12, 1, 0, 10206, 3402, 756, 126, 15, 1, 0, 96228, 32076, 7290, 1296, 180, 18, 1, 0, 938223, 312741, 72171, 13365, 2025, 243, 21, 1, 0, 9382230, 3127410, 729729, 138996, 22275, 2970, 315, 24, 1, 0 (list; table; graph; listen)
OFFSET

0,5

COMMENT

Row sums are C(3;n), A064063. Inverse is A110517. Diagonal sums are 110525.

FORMULA

Number triangle T(0, k)=0^k, T(n, k)=(k/n)*C(2n-k-1, n-k)*3^(n-k), n, k>0;

T(n,k)=A106566(n,k)*3^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 08 2007

EXAMPLE

Rows begin

1;

0,1;

0,3,1;

0,18,6,1;

0,135,45,9,1;

0,1134,378,81,12,1;

CROSSREFS

Sequence in context: A131222 A114151 A147723 this_sequence A006837 A158782 A066746

Adjacent sequences: A110515 A110516 A110517 this_sequence A110519 A110520 A110521

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jul 24 2005

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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