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Search: id:A098442
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| A098442 |
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Expansion of 1/sqrt(1-2x-95x^2). |
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+0
1
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| 1, 1, 49, 145, 3745, 17761, 329041, 2057329, 31209025, 232680385, 3110464369, 26033283409, 320766732001, 2899777798945, 33888636756625, 322631662569265, 3643305557364865, 35919365323430785, 396728681192463025
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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11th binomial transform of 2^n*LegendreP(n,-5) Binomial transform of 1/sqrt(1-96x^2).
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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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a(n)=sum{k=0..floor(n/2), binomial(n-k, k)binomial(n, k)24^k}.
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CROSSREFS
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Sequence in context: A118160 A009404 A087354 this_sequence A088535 A045897 A027469
Adjacent sequences: A098439 A098440 A098441 this_sequence A098443 A098444 A098445
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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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