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A103307
Reduced numerators of the central moments of the distribution of random line segments picked on a unit line segment.
1
1, 1, 1, 4, 31, 1, 13, 224, 17, 151, 1825, 404, 2429, 7279, 1079, 6472, 23303, 863, 155347, 932060, 207127, 621377, 7456549, 184112, 1104673, 29826157, 1472897, 79536428, 477218599, 53024287, 636291455, 3817748696, 282796201, 848388601
OFFSET
2,4
LINKS
Eric Weisstein's World of Mathematics, Line Line Picking.
FORMULA
a(n) = numerator((2^(n+3)+(-1)^n*2*(3*n+5))/((n+1)*(n+2)*3^(n+2))). - Amiram Eldar, Apr 14 2022
EXAMPLE
1/18, 1/135, 1/135, 4/1701, 31/20412, 1/1458, 13/32805, 224/1082565, ...
MATHEMATICA
a[n_] := Numerator[(2^(n + 3) + (-1)^n*2*(3*n + 5))/((n + 1)*(n + 2)*3^(n + 2))]; Array[a, 35, 2] (* Amiram Eldar, Apr 14 2022 *)
CROSSREFS
Cf. A103308 (denominators).
Sequence in context: A201974 A221250 A119926 * A196248 A196246 A345274
KEYWORD
nonn,frac
AUTHOR
Eric W. Weisstein, Jan 28 2005
STATUS
approved