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A365899 Numbers k such that A073734(k) is neither squarefree nor a prime power. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Subset of A073735.
A073734(a(n)) = GCD(A064413(a(n)-1), A064413(a(n))) is in A126706.
LINKS
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.
EXAMPLE
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
...
CROSSREFS
Sequence in context: A345836 A345598 A345857 * A236196 A054832 A368650
KEYWORD
nonn
AUTHOR
Michael De Vlieger, Sep 28 2023
STATUS
approved

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Last modified May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)