|
| |
|
|
A098442
|
|
Expansion of 1/sqrt(1-2x-95x^2).
|
|
0
| |
|
|
1, 1, 49, 145, 3745, 17761, 329041, 2057329, 31209025, 232680385, 3110464369, 26033283409, 320766732001, 2899777798945, 33888636756625, 322631662569265, 3643305557364865, 35919365323430785, 396728681192463025
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
COMMENTS
| 11th binomial transform of 2^n*LegendreP(n,-5) Binomial transform of 1/sqrt(1-96x^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
| a(n)=sum{k=0..floor(n/2), binomial(n-k, k)binomial(n, k)24^k}.
|
|
|
MATHEMATICA
| CoefficientList[Series[1/Sqrt[1-2x-95x^2], {x, 0, 30}], x] (* From Harvey P. Dale, Jan 18 2012 *)
|
|
|
CROSSREFS
| Sequence in context: A118160 A009404 A087354 * A088535 A045897 A162942
Adjacent sequences: A098439 A098440 A098441 * A098443 A098444 A098445
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Sep 07 2004
|
| |
|
|
