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A132864 Expansion of 1/(1-4x*c(5x)), where c(x) is the g.f. of A000108 . 2
1, 4, 36, 424, 5716, 83544, 1288296, 20637264, 340116276, 5730014584, 98241641656, 1708602483504, 30070563388936, 534554579527024, 9584333758817616, 173120386421418144, 3147337611202622196 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Hankel transform is A135420. [From Paul Barry (pbarry(AT)wit.ie), Sep 15 2009]

FORMULA

a(n)=Sum_{k, 0<=k<=n}A039599(n,k)*(-1)^k*5^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 11 2007

Integral representation: a(n)=(2/pi)*Int(x^n*sqrt(x(20-x))/(x(16+x)),x,0,20). [From Paul Barry (pbarry(AT)wit.ie), Sep 15 2009]

Contribution from Gary W. Adamson, Jul 18 2011: (Start)

a(n) = upper left term in M^n, M = an infinite square production matrix as follows:

4, 4, 0, 0, 0, 0,...

5, 5, 5, 0, 0, 0,...

5, 5, 5, 5, 0, 0,...

5, 5, 5, 5, 5, 0,...

5, 5, 5, 5, 5, 5,...

... (end)

Conjecture: n*a(n)+2*(15-2*n)*a(n-1) +160*(3-2*n)*a(n-2)=0. - R. J. Mathar, Nov 15 2011

CROSSREFS

Sequence in context: A002894 A202828 A131765 * A052700 A167540 A136224

Adjacent sequences:  A132861 A132862 A132863 * A132865 A132866 A132867

KEYWORD

nonn

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 18 2007

EXTENSIONS

More terms added. Paul Barry (pbarry(AT)wit.ie), Sep 15 2009

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.