login
A103308
Reduced denominators of the central moments of the distribution of random line segments picked on a unit line segment.
1
18, 135, 135, 1701, 20412, 1458, 32805, 1082565, 144342, 2302911, 48361131, 18600435, 191318760, 975725676, 243931419, 2453663097, 14721978582, 903981141, 268482398877, 2646469360359, 962352494676, 4707158941350
OFFSET
2,1
LINKS
Eric Weisstein's World of Mathematics, Line Line Picking.
FORMULA
a(n) = denominator((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_] := Denominator[(2^(n + 3) + (-1)^n*2*(3*n + 5))/((n + 1)*(n + 2)*3^(n + 2))]; Array[a, 20, 2] (* Amiram Eldar, Apr 14 2022 *)
CROSSREFS
Cf. A103307 (numerators).
Sequence in context: A299932 A058649 A273222 * A320677 A010824 A022710
KEYWORD
nonn,frac
AUTHOR
Eric W. Weisstein, Jan 28 2005
STATUS
approved