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 A161201 Numerators in expansion of (1-x)^(-7/2) 7
 1, 7, 63, 231, 3003, 9009, 51051, 138567, 2909907, 7436429, 37182145, 91265265, 882230895, 2103781365, 9917826435, 23141595015, 856239015555, 1964313035685, 8948537162565, 20251952525805, 182267572732245 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA a(n) = numer(((15+46*n+36*n^2+8*n^3)/15)*binomial(2*n,n)/(4^n)) MATHEMATICA CoefficientList[Series[(1-x)^(-7/2), {x, 0, 20}], x]//Numerator (* Harvey P. Dale, Jan 14 2020 *) CROSSREFS Cf. A001790 [(1-x)^(-1/2)], A001803 [(1-x)^(-3/2)] and A161199 [(1-x)^(-5/2)]. Cf. A161202 numerators in expansion of (1-x)^(5/2). A161198 triangle related to the series expansions of (1-x)^((-1-2*n)/2) for all values of n. A046161 gives the denominators of the series expansions of (1-x)^(-7/2). Sequence in context: A216534 A167550 A304895 * A007291 A343137 A188226 Adjacent sequences:  A161198 A161199 A161200 * A161202 A161203 A161204 KEYWORD easy,nonn,frac AUTHOR Johannes W. Meijer, Jun 08 2009 STATUS approved

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Last modified June 15 15:16 EDT 2021. Contains 345049 sequences. (Running on oeis4.)