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Search: id:A098443
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| A098443 |
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Expansion of 1/sqrt(1-8x-4x^2). |
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+0
2
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| 1, 4, 26, 184, 1366, 10424, 80996, 637424, 5064166, 40528984, 326251276, 2638751504, 21426682876, 174563719984, 1426219233416, 11681133293024, 95877105146246, 788433553532824, 6494463369141116, 53576199709855184
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A098444. Second binomial transform of A084770. Third binomial transform of A098264.
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REFERENCES
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Tony D. Noe, On the Divisibility of Generalized Central Trinomial Coefficients, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.7.
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FORMULA
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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)}.
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CROSSREFS
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Sequence in context: A108082 A116429 A084134 this_sequence A052775 A137964 A107649
Adjacent sequences: A098440 A098441 A098442 this_sequence A098444 A098445 A098446
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Sep 07 2004
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