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 A241270 Numbers with the property that in their factorization over distinct terms of A050376, the sums of prime and nonprime terms of A050376 are equal. 1
 126, 468, 624, 792, 880, 1056, 1150, 2900, 3264, 4606, 5824, 6375, 6624, 8320, 9856, 10388, 11375, 12798, 13650, 16400, 16704, 19250, 20925, 30135, 32625, 36720, 39150, 39900, 53784, 56446, 56925, 57000, 59500, 63455, 65520, 71400, 71500, 72471 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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 REFERENCES V. S. Shevelev, Multiplicative functions in the Fermi-Dirac arithmetic, Izvestia Vuzov of the North-Caucasus region, Nature sciences 4 (1996), 28-43 [Russian]. LINKS Peter J. C. Moses, Table of n, a(n) for n = 1..2000 S. Litsyn and V. S. Shevelev, On factorization of integers with restrictions on the exponent, INTEGERS: Electronic Journal of Combinatorial Number Theory, 7 (2007), #A33, 1-36. EXAMPLE 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. CROSSREFS Cf. A187039, A187042, A177329, A177333, A177334. Sequence in context: A202399 A201467 A222341 * A135192 A154039 A202601 Adjacent sequences: A241267 A241268 A241269 * A241271 A241272 A241273 KEYWORD nonn AUTHOR Vladimir Shevelev, Apr 18 2014 EXTENSIONS More terms from Peter J. C. Moses, Apr 18 2014 New extension from Wolfdieter Lang, Apr 25 2014 STATUS approved

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Last modified December 4 08:33 EST 2023. Contains 367558 sequences. (Running on oeis4.)