A132863 Expansion of 1/(1-3x*c(4x)), where c(x) is the g.f. of A000108.

1, 3, 21, 195, 2085, 24243, 297909, 3806883, 50082885, 673851795, 9229863381, 128273819523, 1804331883621, 25639360102515, 367507859864565, 5307403512554595, 77150495031376005, 1127965980470739795, 16575672566809158165, 244695925293076974915

Offset

0,2

Links

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

Formula

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

From Gary W. Adamson, Jul 13 2011: (Start)

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, ...

... (End)

G.f.: 8/(5 + 3*sqrt(1-16x)). - 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 A372155 A212070

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