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A110510 Riordan array (1,xc(2x)), c(x) the g.f. of A000108. +0
5
1, 0, 1, 0, 2, 1, 0, 8, 4, 1, 0, 40, 20, 6, 1, 0, 224, 112, 36, 8, 1, 0, 1344, 672, 224, 56, 10, 1, 0, 8448, 4224, 1440, 384, 80, 12, 1, 0, 54912, 27456, 9504, 2640, 600, 108, 14, 1, 0, 366080, 183040, 64064, 18304, 4400, 880, 140, 16, 1, 0, 2489344, 1244672, 439296 (list; table; graph; listen)
OFFSET

0,5

COMMENT

Row sums are C(2;n), A064062. Inverse is A110509. Diagonal sums are A108308. [Corrected by Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 09 2007]

FORMULA

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

T(n,k)=A106566(n,k)*2^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 08 2007

EXAMPLE

Rows begin

1;

0,1;

0,2,1;

0,8,4,1;

0,40,20,6,1;

0,224,112,36,8,1;

CROSSREFS

Sequence in context: A021896 A075615 A076341 this_sequence A051122 A137452 A158335

Adjacent sequences: A110507 A110508 A110509 this_sequence A110511 A110512 A110513

KEYWORD

easy,nonn,tabl

AUTHOR

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

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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