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A115969 Expansion of 1/(2*sqrt(1-6x+x^2)-1). 0
1, 6, 44, 336, 2600, 20232, 157864, 1233528, 9646328, 75470472, 590627208, 4623006744, 36189493080, 283315538664, 2218082213544, 17365909807416, 135964585370552 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

G.f.: A(x)^2/(2*A(x)-A(x)^2) where A(x) is the g.f. of the central Delannoy numbers A001850.

Conjecture: 3*n*a(n) +3*(9-14*n)*a(n-1) +(151*n-225)*a(n-2) +12*(9-4*n)*a(n-3) +4*(n-3)*a(n-4) =0. - R. J. Mathar, Nov 14 2011

CROSSREFS

Sequence in context: A189800 A102591 A114935 * A082412 A108452 A005591

Adjacent sequences:  A115966 A115967 A115968 * A115970 A115971 A115972

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 03 2006

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Last modified February 14 05:09 EST 2012. Contains 205570 sequences.