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 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). 1
 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 (list; graph; refs; listen; history; text; internal format)
 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 A156677 Adjacent sequences:  A292993 A292994 A292995 * A292997 A292998 A292999 KEYWORD nonn AUTHOR Max Alekseyev, Sep 27 2017 STATUS approved

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Last modified June 13 20:25 EDT 2021. Contains 345009 sequences. (Running on oeis4.)