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A094470
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Numbers k such that phi(k) | sigma_18(k).
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11
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1, 2, 3, 6, 22, 33, 66, 262, 750, 786, 2182, 6546, 8646, 56946, 72006, 162066, 222386, 626406, 667158, 737286, 857526, 1223123, 1489686, 1782726, 2446246, 2939046, 3669369, 4388406, 4780947, 6804006, 7338738, 9561894, 10761126, 12157926
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OFFSET
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1,2
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COMMENTS
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A015759 seems to be a true subsequence here.
sigma_18(n) is the sum of the 18th powers of the divisors of n (A013966). Conjecture: analogous sequences with any 4j+2 exponent instead of 18, includes all terms of A015759 [with exponent=2].
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LINKS
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MATHEMATICA
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Select[Range[10^6], Divisible[DivisorSigma[18, #], EulerPhi[#]] &] (* Amiram Eldar, Mar 07 2020 *)
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PROG
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(PARI) isok(k) = (sigma(k, 18) % eulerphi(k)) == 0; \\ Michel Marcus, Mar 07 2020
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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