A292996 Index of first nonintegral term in the sequence b(1)=2, b(k)=b(k-1)*(b(k-1)+k-1+n)/k (k>=2).

43, 3, 7, 5, 3, 7, 59, 3, 5, 7, 3, 23, 7, 3, 19, 17, 3, 73, 5, 3, 19, 13, 3, 5, 17, 3, 7, 17, 3, 59, 7, 3, 17, 5, 3, 43, 17, 3, 5, 19, 3, 17, 29, 3, 7, 11, 3, 7, 5, 3, 31, 7, 3, 5, 7, 3, 11, 23, 3, 83, 13, 3, 41, 5, 3, 7, 17, 3, 5, 47, 3, 19, 7, 3, 23, 7, 3, 19, 5, 3, 23, 31, 3, 5, 43, 3, 7, 17, 3, 7, 19, 3, 17, 5, 3, 17, 7, 3, 5, 13, 3, 93

Offset

0,1

Comments

a(0)=A097398(1,2)=43 corresponds to Goebel's sequence A003504.

First composite term is a(101)=93.

Links

Max Alekseyev, Table of n, a(n) for n = 0..10000

M. Alekseyev, Simple recurrence that fails to be integer for the first time at the 44th term, Mathoverflow, 2017.

Crossrefs

Cf. A003504, A097398.

Sequence in context: A051318 A036202 A212316 * A107814 A093762 A354085

Adjacent sequences: A292993 A292994 A292995 * A292997 A292998 A292999

Keyword

nonn

Author

Max Alekseyev, Sep 27 2017

Status

approved