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A257345 Regard the terms of A004290 as binary numbers and convert to base 10. 4

%I #25 May 22 2020 05:11:29

%S 0,1,2,7,4,2,14,9,8,511,2,3,28,9,18,14,16,29,1022,25,4,21,6,53,56,4,

%T 18,895,36,109,14,59,32,63,58,18,2044,7,50,21,8,31,42,109,12,1022,106,

%U 19,112,97,4,35,36,35,1790,6,72,25,218,223,28,37,118,991,64

%N Regard the terms of A004290 as binary numbers and convert to base 10.

%C Of course the terms of A004290 are already in base 10 (they just happen to involve only the digits 0 and 1), so there is no justification for this sequence other than curiosity.

%C a(n) < 2^n. - _Chai Wah Wu_, Apr 29 2015

%H Chai Wah Wu, <a href="/A257345/b257345.txt">Table of n, a(n) for n = 0..9998</a>

%t s = With[{c = Rest[Union[FromDigits /@ Flatten[Table[Tuples[{1, 0}, i], {i, 10}], 1]]]}, Join[{0}, Flatten[Table[Select[c, Divisible[#, n] &, 1], {n, 120}]]]]; FromDigits[IntegerDigits@ #, 2] & /@ s (* _Michael De Vlieger_, Apr 29 2015, after _Harvey P. Dale_ at A004290 *)

%o (Python)

%o def A257345(n):

%o ....if n > 0:

%o ........for i in range(1,2**n):

%o ............x = int(format(i,'b'))

%o ............if not x % n:

%o ................return int(str(x),2)

%o ....return 0 # _Chai Wah Wu_, Apr 29 2015

%Y Cf. A079339, A004290, A131577.

%K nonn,base

%O 0,3

%A _N. J. A. Sloane_, Apr 29 2015

%E More terms from _Chai Wah Wu_, Apr 29 2015

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)