A071301 - OEIS

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, 2, 6, 3, 15, 60, 70, 140, 540, 37800, 8316, 207900, 1351350, 75675600, 141891750, 11176704, 308756448000, 222304642560, 15084957888000, 234654900480000, 1267136462592000, 139385010885120000, 213723683357184000

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OFFSET

0,4

LINKS

Table of n, a(n) for n=0..24.

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

Cf. A071298, A071299, A071300.

Sequence in context: A056839 A302033 A337643 * A145642 A056195 A083169

Adjacent sequences: A071298 A071299 A071300 * A071302 A071303 A071304

KEYWORD