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A147814 Number of bits in Elias omega-coded prime numbers. 2
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, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) increases very slowly, gradually diverging from 3 + floor(log_2(n)).

LINKS

Indranil Ghosh, Table of n, a(n) for n = 1..10000

Wikipedia, Elias omega coding

FORMULA

a(n) = 2 + Sum_{i=0..k} d(i), where

d(0) = bits(p_n)

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

...

d(k) = 2,

and bits(p_n) = 1 + floor(log_2(prime(n))) is the number of bits in the binary representation of the n-th prime.

CROSSREFS

Cf. A000040, A147764.

Sequence in context: A023404 A140245 A200364 * A168233 A238391 A049647

Adjacent sequences:  A147811 A147812 A147813 * A147815 A147816 A147817

KEYWORD

base,easy,nonn,uned

AUTHOR

Reikku Kulon, Nov 13 2008

STATUS

approved

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Last modified May 27 16:48 EDT 2022. Contains 354110 sequences. (Running on oeis4.)