A071795 Numerators 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, 2, 4, 7, 23, 35, 155, 73, 201, 809, 1779, 2297, 8797, 737, 19241, 118333, 288833, 348911, 251309, 4749, 84329, 2083787, 2982589, 3471659, 4025491, 4645009, 29748557, 102164827, 7772503

Offset

1,3

Links

Table of n, a(n) for n=1..30.

Example

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

Crossrefs

Cf. A071796.

Sequence in context: A171978 A290571 A026080 * A059501 A353986 A138049

Adjacent sequences: A071792 A071793 A071794 * A071796 A071797 A071798

Keyword

nonn,easy,frac

Author

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

Status

approved