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A147814 Number of bits in Elias omega coded prime numbers. 2

%I

%S 4,4,7,7,8,8,12,12,12,12,12,13,13,13,13,13,13,13,14,14,14,14,14,14,14,

%T 14,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,

%U 15,15,15,15,15,15,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17

%N Number of bits in Elias omega coded prime numbers.

%C a(n) increases very slowly, gradually diverging from 3 + floor(log2 n).

%H Indranil Ghosh, <a href="/A147814/b147814.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = 2 + sigma(i in [0, k]: d(i)), where:

%F d(0) = bits(p_n)

%F d(x) = bits(d(x - 1) - 1)

%F ...

%F d(k) = 2,

%F and bits(p_n) = 1 + floor(log2 A000040(n)) is the number of bits in the binary representation of prime number n.

%Y Cf. A000040, A147764

%K base,easy,nonn

%O 1,1

%A _Reikku Kulon_, Nov 13 2008

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Last modified April 21 22:12 EDT 2019. Contains 322328 sequences. (Running on oeis4.)