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A065714 Number of 3's in decimal expansion of 2^n. 11

%I #26 Apr 25 2020 13:32:42

%S 0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,3,0,1,1,1,1,1,0,1,

%T 0,4,1,3,0,1,0,1,1,1,0,3,1,3,0,2,0,1,2,0,1,2,2,0,2,3,0,4,1,3,1,4,2,1,

%U 1,1,2,3,2,3,1,2,4,1,4,3,0,3,2,3,4,4,3,3,2,1,3,0,0,4,2,2,6,1,4,4,2

%N Number of 3's in decimal expansion of 2^n.

%H Harry J. Smith, <a href="/A065714/b065714.txt">Table of n, a(n) for n = 0..1000</a>

%e 2^5 = 32 so a(5)=1.

%t Table[ Count[ IntegerDigits[2^n], 3], {n, 0, 100} ]

%o (PARI) a(n) = #select(x->(x==3), digits(2^n)); \\ _Michel Marcus_, Jun 15 2018

%o (Python)

%o def A065714(n):

%o return str(2**n).count('3') # _Chai Wah Wu_, Feb 14 2020

%Y Cf. 0's A027870, 1's A065712, 2's A065710, 4's A065715, 5's A065716, 6's A065717, 7's A065718, 8's A065719, 9's A065744.

%K nonn,base

%O 0,26

%A _Benoit Cloitre_, Dec 04 2001

%E More terms from _Robert G. Wilson v_, Dec 07 2001

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Last modified April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)