cp's OEIS Frontend

A341888 Indices of record values of A307437(k)/k.

%I A341888 #17 Feb 26 2021 14:55:01
%S A341888 1,4,12,19,59,167,196,197,227,317,457,521,706,1532,1861,1997,2053,
%T A341888 2348,3833,5227,19891,47303,54973,58603,101401,102307,138163,170167,
%U A341888 707467,860831
%N A341888 Indices of record values of A307437(k)/k.
%C A341888 Except for a(1) = 1 and a(13) = 706, the fractional part of A307437(k)/k appears to be monotonically strictly decreasing. - _Chai Wah Wu_, Feb 24 2021
%e A341888 Let b(k) = A307437(k). Numeric values of b(k)/k for the terms:
%e A341888     k    b(k)/k
%e A341888   ----  ---------
%e A341888      1   3.000000
%e A341888      4   4.250000
%e A341888     12   6.083333
%e A341888     19  10.052632
%e A341888     59  12.016949
%e A341888    167  14.005988
%e A341888    196  16.005102
%e A341888    197  18.005076
%e A341888    227  24.004405
%e A341888    317  26.003155
%e A341888    457  30.002188
%e A341888    521  32.001919
%e A341888    706  35.007082
%e A341888   1532  38.000653
%e A341888   1861  40.000537
%e A341888   1997  44.000501
%e A341888   2053  46.000487
%e A341888   2348  56.000426
%e A341888   3833  60.000261
%e A341888   5227  76.000191
%o A341888 (PARI) my(M = 1); for(k=1, 5000, if(A307437(k)/k > M, print1(k, ", "); M = A307437(k)/k)) \\ see A307437 for its program
%Y A341888 Cf. A307437.
%K A341888 nonn,more
%O A341888 1,2
%A A341888 _Jianing Song_, Feb 22 2021
%E A341888 a(21)-a(28) from _Chai Wah Wu_, Feb 24 2021
%E A341888 a(29)-a(30) from _Chai Wah Wu_, Feb 26 2021