cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A319067 a(n) is the least k such that n divides A047994(k) where A047994 is the unitary totient function.

Original entry on oeis.org

1, 3, 4, 5, 11, 7, 8, 9, 19, 11, 23, 13, 27, 24, 16, 17, 103, 19, 191, 33, 43, 23, 47, 25, 101, 27, 76, 29, 59, 31, 32, 45, 67, 103, 71, 37, 149, 191, 79, 41, 83, 43, 173, 69, 112, 47, 283, 49, 197, 101, 103, 53, 107, 76, 253, 72, 229, 59, 709, 61, 367, 96, 64, 85, 131
Offset: 1

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Author

Michel Marcus, Sep 09 2018

Keywords

Crossrefs

Cf. A047994 (unitary totient).
Cf. A005179 (analog for number of divisors), A061026 (analog for Euler totient), A070982 (analog for sum of divisors).

Programs

  • PARI
    a047994(n) = prod(i=1, #n=factor(n)~, n[1, i]^n[2, i]-1);
    a(n) = my(k=1); while(a047994(k) % n, k++); k;

Formula

a(p-1) = p for p prime. See Sándor link Theorem 2 p. 95.
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