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A132863 Expansion of 1/(1-3x*c(4x)), where c(x) is the g.f. of A000108 . 3
1, 3, 21, 195, 2085, 24243, 297909, 3806883, 50082885, 673851795, 9229863381, 128273819523, 1804331883621, 25639360102515, 367507859864565, 5307403512554595, 77150495031376005, 1127965980470739795, 16575672566809158165, 244695925293076974915 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..830

FORMULA

a(n)=Sum_{k, 0<=k<=n}A039599(n,k)*(-1)^k*4^(n-k). - Philippe Deléham, Dec 11 2007

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

3, 3, 0, 0, 0, 0,...

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

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

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

4, 4, 4, 4, 4, 4,...

...

- Gary W. Adamson, Jul 13 2011

G.f.: 8/(5+3*sqrt(1-16x)). - From Philippe Deléham, Oct 27 2011.

MATHEMATICA

CoefficientList[Series[8/(5+3Sqrt[1-16x]), {x, 0, 30}], x] (* Harvey P. Dale, Mar 09 2013 *)

CROSSREFS

Sequence in context: A151388 A210670 A193468 * A202826 A212070 A192461

Adjacent sequences:  A132860 A132861 A132862 * A132864 A132865 A132866

KEYWORD

nonn

AUTHOR

Philippe Deléham, Nov 18 2007

EXTENSIONS

More terms from Philippe Deléham, Oct 27 2011.

Corrected by Harvey P. Dale, Mar 09 2013

STATUS

approved

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Last modified February 17 18:47 EST 2018. Contains 299296 sequences. (Running on oeis4.)