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A098658 3^n*(2n)!/(n!)^2. +0
2
1, 6, 54, 540, 5670, 61236, 673596, 7505784, 84440070, 956987460, 10909657044, 124965162504, 1437099368796, 16581915793800, 191876454185400, 2225766868550640, 25874539846901190, 301362287628613860 (list; graph; listen)
OFFSET

0,2

COMMENT

Sixth binomial transform of 1/sqrt(1-36x^2).

REFERENCES

Tony D. Noe, On the Divisibility of Generalized Central Trinomial Coefficients, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.7.

FORMULA

G.f.: 1/sqrt((1-6x)^2-36x^2)=1/sqrt(1-12x); E.g.f.: exp(6x)BesselI(0, 6x); a(n)=[t^n](1+6t+9t^2)^n.

CROSSREFS

Cf. A059304.

Adjacent sequences: A098655 A098656 A098657 this_sequence A098659 A098660 A098661

Sequence in context: A065088 A092810 A092472 this_sequence A109576 A069726 A081132

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 20 2004

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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