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%I #11 Jan 21 2014 08:11:06
%S 4,9,6,8,10,25,14,15,12,22,16,21,49,26,27,18,34,33,20,38,35,39,46,121,
%T 28,51,58,169,24,62,57,55,32,74,69,65,82,30,86,289,94,77,87,44,85,93,
%U 106,361,45,91,95,50,118,36,52,122,111,40,42,134,123,115,142
%N Composite numbers n sorted by increasing values of gamma(n) = log_2(n+1) - log_tau(n) (sigma(n)), where sigma(n) = A000203(n) = the sum of divisors of n and tau(n) = A000005(n) = the number of divisors of n.
%C The number gamma(n) = log_2(n+1) - log_tau(n) (sigma(n)) is called the gamma-deviation from primality of the number n; gamma(p) = 0 for p = prime.
%C Conjecture: every natural number n has a unique value of gamma(n).
%C For number 4; gamma(4) = log_2 (4+1) - log_tau(4) (sigma(4)) = log_2 (5) - log_3 (7) = 0,5506843457… = A236023 (minimal value of function gamma(n)).
%C See A234516, A234520 and A236025 for definitions of functions alpha(n), beta(n) and delta(n).
%C See A236024 - sequence of numbers from a(n) such that a(n) > a(k) for all k < n.
%H Jaroslav Krizek, <a href="/A236022/b236022.txt">Table of n, a(n) for n = 1..1000</a>
%Y Cf. A236020, A236021, A236023, A236024, A236025, A236026.
%K nonn
%O 1,1
%A _Jaroslav Krizek_, Jan 18 2014