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

1, 4, 12, 19, 59, 167, 196, 197, 227, 317, 457, 521, 706, 1532, 1861, 1997, 2053, 2348, 3833, 5227, 19891, 47303, 54973, 58603, 101401, 102307, 138163, 170167, 707467, 860831

Offset: 1

Author

Jianing Song, Feb 22 2021

Keywords

• nonn
• more

Comments

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

Examples

			Let b(k) = A307437(k). Numeric values of b(k)/k for the terms:
    k    b(k)/k
  ----  ---------
     1   3.000000
     4   4.250000
    12   6.083333
    19  10.052632
    59  12.016949
   167  14.005988
   196  16.005102
   197  18.005076
   227  24.004405
   317  26.003155
   457  30.002188
   521  32.001919
   706  35.007082
  1532  38.000653
  1861  40.000537
  1997  44.000501
  2053  46.000487
  2348  56.000426
  3833  60.000261
  5227  76.000191
		

Crossrefs

Cf. A307437.

Programs

PARI

my(M = 1); for(k=1, 5000, if(A307437(k)/k > M, print1(k, ", "); M = A307437(k)/k)) \\ see A307437 for its program

Extensions

a(21)-a(28) from Chai Wah Wu, Feb 24 2021

a(29)-a(30) from Chai Wah Wu, Feb 26 2021