A365899 Numbers k such that A073734(k) is neither squarefree nor a prime power.

2935, 5446, 5910, 9093, 11068, 15713, 15795, 18829, 19984, 23669, 25794, 26386, 33619, 36370, 36498, 41560, 41779, 46911, 48184, 48231, 48604, 50349, 50835, 53082, 53253, 53760, 54758, 56524, 58144, 58836, 59600, 60390, 60533, 63181, 64979, 65226, 65867, 66449

Offset: 1

Author

Michael De Vlieger, Sep 28 2023

Keywords

• nonn

Comments

Subset of A073735.

A073734(a(n)) = GCD(A064413(a(n)-1), A064413(a(n))) is in A126706.

Examples

			Table of first terms and how they relate to b(n) = A073735(n) and EKG(n) = A064413(n).
   n   m=a(n)  b(m)          EKG(m-1)  EKG(m)
  -------------------------------------------
   1    2935    20 = 2*2*5      3080    3060
   2    5446    20              5740    5660
   3    5910    20              6180    6140
   4    9093    20              9460    9440
   5   11068    12 = 2*2*3     11484   11472
   6   15713    52 = 2*2*13    16328   16276
   7   15795    12             16368   16356
   8   18829    36 = 2*2*3*3   19548   19476
   9   19984    63 = 3*3*7     20727   20664
  10   23669   116 = 2*2*29    24592   24476
  11   25794    56 = 2*2*2*7   26712   26656
  12   26386    68 = 2*2*17    27472   27268
  ...
  30   58836    18 = 2*3*3     60786   60778
  ...
		

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..10000
• Michael De Vlieger, Mathematica code for this sequence, based on Lagarias-Rains-Sloane 2002 paper, pages 4-5.
• J. C. Lagarias, E. M. Rains and N. J. A. Sloane, The EKG sequence, Exper. Math. 11 (2002), 437-446; arXiv:math/0204011 [math.NT], 2002.
• Index entries for sequences related to EKG sequence

Crossrefs

Cf. A064413, A073734, A073735, A126706.