%I #27 Aug 11 2014 22:46:11

%S 126,468,624,792,880,1056,1150,2900,3264,4606,5824,6375,6624,8320,

%T 9856,10388,11375,12798,13650,16400,16704,19250,20925,30135,32625,

%U 36720,39150,39900,53784,56446,56925,57000,59500,63455,65520,71400,71500,72471

%N Numbers with the property that in their factorization over distinct terms of A050376, the sums of prime and nonprime terms of A050376 are equal.

%C The corresponding sequence of the sum over the primes, which equals the sum over the nonprimes, is 9, 13, 16, 13, 16, 16, 25, 29, 20, 49, 20, 25, 25, 20, 20, 53, 25, 81, 25, 41, 29, 25, 34, 49, 34, 25, 34, 29, 85, 169, 34, 29, 29, 49, 25, 29, 29, 49, ... - _Wolfdieter Lang_, Apr 25 2014

%D V. S. Shevelev, Multiplicative functions in the Fermi-Dirac arithmetic, Izvestia Vuzov of the North-Caucasus region, Nature sciences 4 (1996), 28-43 [Russian].

%H Peter J. C. Moses, <a href="/A241270/b241270.txt">Table of n, a(n) for n = 1..2000</a>

%H S. Litsyn and V. S. Shevelev, <a href="http://www.emis.de/journals/INTEGERS/papers/h33/h33.Abstract.html">On factorization of integers with restrictions on the exponent</a>, INTEGERS: Electronic Journal of Combinatorial Number Theory, 7 (2007), #A33, 1-36.

%e 126 and 468 are in the sequence since the factorizations are 2*7*9 and 4*9*13 respectively, and 2+7=9, 4+9=13.

%Y Cf. A187039, A187042, A177329, A177333, A177334.

%K nonn

%O 1,1

%A _Vladimir Shevelev_, Apr 18 2014

%E More terms from _Peter J. C. Moses_, Apr 18 2014

%E New extension from _Wolfdieter Lang_, Apr 25 2014