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A098443 Expansion of 1/sqrt(1-8x-4x^2). 1
1, 4, 26, 184, 1366, 10424, 80996, 637424, 5064166, 40528984, 326251276, 2638751504, 21426682876, 174563719984, 1426219233416, 11681133293024, 95877105146246, 788433553532824, 6494463369141116, 53576199709855184 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A098444. Second binomial transform of A084770. Third binomial transform of A098264.

REFERENCES

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

FORMULA

E.g.f.: exp(4x)BesselI(0, 2sqrt(5)x); a(n)=sum{k=0..floor(n/2), Binomial(n, k)Binomial(2(n-k), n)2^(n-2k)}.

CROSSREFS

Sequence in context: A199490 A116429 A084134 * A052775 A137964 A107649

Adjacent sequences:  A098440 A098441 A098442 * A098444 A098445 A098446

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 07 2004

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Last modified February 17 23:46 EST 2012. Contains 206085 sequences.