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A275520
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Least k such that n divides d(k^k) (d = A000005, k > 0).
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1
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1, 3, 2, 3, 8, 5, 6, 7, 4, 19, 10, 11, 12, 13, 14, 15, 25, 17, 9, 19, 20, 21, 22, 23, 8, 45, 26, 55, 28, 29, 30, 15, 49, 33, 34, 35, 18, 37, 38, 39, 20, 41, 42, 21, 14, 45, 46, 35, 6, 39, 25, 51, 52, 35, 54, 55, 28, 57, 58, 59, 60, 61, 62, 15, 12, 65, 66, 33, 68, 69, 70, 35, 24
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OFFSET
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1,2
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COMMENTS
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If n > 1 and n-1 is squarefree, then a(n) <= n-1. # Robert Israel, Apr 11 2023
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LINKS
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EXAMPLE
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a(5) = 8 because A000005(8^8) = 25 is divisible by 5.
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MAPLE
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g:= proc(k) option remember;
local F, t;
F:= ifactors(k)[2];
mul(t[2]*k+1, t=F);
end proc:
f:= proc(n) local k;
for k from 1 do if g(k) mod n = 0 then return k fi od
end proc:
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MATHEMATICA
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Table[k = 1; While[! Divisible[DivisorSigma[0, k^k], n], k++]; k, {n, 73}] (* Michael De Vlieger, Aug 02 2016 *)
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PROG
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(PARI) a(n) = {my(k=1); while(numdiv(k^k) % n != 0, k++); k; }
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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