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A071301
Denominator of b(n), where b(n+1) = Sum_{k=0..n} b'((n^2-k^2)/n), b(0) = b(1) = 1, and b'(x) = b(x) if x is an integer and is linearly interpolated otherwise.
1
1, 1, 1, 2, 6, 3, 15, 60, 70, 140, 540, 37800, 8316, 207900, 1351350, 75675600, 141891750, 11176704, 308756448000, 222304642560, 15084957888000, 234654900480000, 1267136462592000, 139385010885120000, 213723683357184000
OFFSET
0,4
EXAMPLE
b(4) = b'(9/3)+b'(8/3)+b'(5/3)+b'(0/3) = b(3)+[(1/3)b(2)+(2/3)b(3)]+[(1/3)b(1)+(2/3)b(2)]+b(0) = 65/6.
CROSSREFS
KEYWORD
nonn,easy,frac
AUTHOR
Michele Dondi (blazar(AT)lcm.mi.infn.it), Jun 10 2002
EXTENSIONS
More terms from David Wasserman, Nov 08 2005
Edited by N. J. A. Sloane, May 20 2019
STATUS
approved