A071796 Denominators of a(n+1) = Sum_{k=1..n} a'(n/k), a(1)=1, where a'(x)=a(x) if x integer and is linearly interpolated otherwise.

1, 1, 1, 1, 1, 2, 2, 6, 2, 4, 12, 20, 20, 60, 4, 84, 420, 840, 840, 504, 8, 120, 2520, 3080, 3080, 3080, 3080, 17160, 51480, 3432, 3432, 360360, 10920, 624, 48048, 4084080, 1361360, 12252240, 314160, 17907120, 232792560, 33256080, 33256080, 4232592, 21162960

Offset

1,6

Links

Table of n, a(n) for n=1..45.

Example

a(2)=a'(1/1)=a(1)=1, so a'(x)=1 for all x in [1,2].

Crossrefs

Cf. A071795.

Sequence in context: A138951 A163370 A278159 * A121699 A080404 A379325

Adjacent sequences: A071793 A071794 A071795 * A071797 A071798 A071799

Keyword

nonn,easy,frac

Author

Michele Dondi (bik.mido(AT)tiscalinet.it), Jun 05 2002

Extensions

More terms from Sean A. Irvine, Aug 10 2024

Status

approved