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A132863
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Expansion of 1/(1-3x*c(4x)), where c(x) is the g.f. of A000108 .
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2
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1, 3, 21, 195, 2085, 24243, 297909, 3806883, 50082885, 673851795, 9229863381, 128273819523, 1804331883621, 25639360102515, 367507859864565, 5307403512554595, 77150495031376005, 1127965980470739795, 1657562566809158165, 244695925293076974915
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n)=Sum_{k, 0<=k<=n}A039599(n,k)*(-1)^k*4^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 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 DELEHAM Philippe, Oct 27 2011.
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CROSSREFS
| Sequence in context: A057616 A151388 A193468 * A202826 A192461 A199682
Adjacent sequences: A132860 A132861 A132862 * A132864 A132865 A132866
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KEYWORD
| nonn
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 18 2007
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EXTENSIONS
| More terms from DELEHAM Philippe, Oct 27 2011.
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