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A147704 Diagonal sums of Riordan array ((1-2x)/(1-3x+x^2),x(1-x)/(1-3x+x^2)). +0
2
1, 1, 3, 8, 23, 66, 190, 547, 1575, 4535, 13058, 37599, 108262, 311728, 897585, 2584493, 7441751, 21427668, 61698511, 177653782, 511533678, 1472902523, 4241053787, 12211627683, 35161980526, 101244887791 (list; graph; listen)
OFFSET

0,3

COMMENT

Diagonal sums of A147703.

Hankel transform is := 1,2,3,0,0,0,0,0,0,0,... [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 15 2008]

FORMULA

G.f.: (1-x^2)/(1-3x+x^3);

a(n)=3*a(n-1)-a(n-3), n>2 ; a(0)=1, a(1)=1, a(2)=3 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 15 2008]

CROSSREFS

Sequence in context: A014398 A078054 A018043 this_sequence A116410 A106606 A050535

Adjacent sequences: A147701 A147702 A147703 this_sequence A147705 A147706 A147707

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Nov 10 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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