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A074202 Numbers k such that the number of 1's in the binary expansion of k divides 2^k-1. 3
1, 2, 4, 8, 14, 16, 22, 26, 28, 32, 38, 42, 44, 50, 52, 56, 64, 70, 74, 76, 82, 84, 88, 98, 100, 104, 112, 124, 128, 134, 138, 140, 146, 148, 152, 162, 164, 168, 176, 188, 194, 196, 200, 208, 220, 224, 236, 244, 248, 256, 262, 266, 268, 274, 276, 280, 290, 292 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Odd terms (1, 351, 375, ...) are in A074203.
LINKS
MATHEMATICA
Select[Range[300], (d = DigitCount[#, 2, 1]) == 1 || PowerMod[2, #, d] == 1 &] (* Amiram Eldar, Jul 30 2020 *)
PROG
(PARI) isok(n) = !((2^n-1) % hammingweight(n)); \\ Michel Marcus, Nov 29 2013
(Python)
from itertools import count, islice
def A074202_gen(startvalue=1): # generator of terms >= startvalue
return filter(lambda n:not ((1<<n)-1) % n.bit_count(), count(max(startvalue, 1)))
A074202_list = list(islice(A074202_gen(), 20)) # Chai Wah Wu, Mar 09 2023
CROSSREFS
Different from A128309.
Sequence in context: A049133 A063033 A128309 * A086303 A209838 A121982
KEYWORD
base,easy,nonn
AUTHOR
Benoit Cloitre, Sep 17 2002
EXTENSIONS
Edited by N. J. A. Sloane, May 10 2007
STATUS
approved

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Last modified June 23 15:10 EDT 2024. Contains 373651 sequences. (Running on oeis4.)