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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

%I #11 May 20 2019 14:59:26

%S 1,1,1,2,6,3,15,60,70,140,540,37800,8316,207900,1351350,75675600,

%T 141891750,11176704,308756448000,222304642560,15084957888000,

%U 234654900480000,1267136462592000,139385010885120000,213723683357184000

%N 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.

%e 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.

%Y Cf. A071298, A071299, A071300.

%K nonn,easy,frac

%O 0,4

%A Michele Dondi (blazar(AT)lcm.mi.infn.it), Jun 10 2002

%E More terms from _David Wasserman_, Nov 08 2005

%E Edited by _N. J. A. Sloane_, May 20 2019

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Last modified April 24 14:09 EDT 2024. Contains 371960 sequences. (Running on oeis4.)