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A260178 a(n) = hyperfactorial(prime(n)-1) mod prime(n). 5
1, 1, 3, 1, 10, 8, 13, 18, 22, 17, 30, 6, 9, 42, 1, 30, 1, 50, 66, 70, 27, 1, 1, 34, 22, 10, 1, 1, 76, 15, 1, 130, 37, 1, 105, 150, 28, 162, 166, 93, 178, 19, 1, 81, 14, 1, 1, 222, 226, 107, 144, 238, 64, 1, 16, 1, 82, 270, 60, 53, 1, 155, 1, 310, 288, 203, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Matthew Campbell and Alois P. Heinz, Table of n, a(n) for n = 1..10000 (first 687 terms from Matthew Campbell)

FORMULA

a(n) = A002109(A000040(n)-1) mod A000040(n).

EXAMPLE

a(2) = hyperfactorial(2) mod 3 = (2^2*1^1) mod 3 = 4 mod 3 = 1.

MAPLE

a:= proc(n) option remember; local i, p, r, v;

      p, r, v:= ithprime(n), 1$2;

      for i from p-1 to 1 by -1 do

        v:= v*i mod p; r:= r*v mod p

      od; r

    end:

seq(a(n), n=1..100);  # Alois P. Heinz, Jul 21 2015

MATHEMATICA

Table[Mod[Hyperfactorial[Prime[n] - 1], Prime[n]], {n, 1, 200}]

PROG

(PARI) a(n, p=prime(n))=lift(prod(k=2, p-1, Mod(k, p)^k)) \\ Charles R Greathouse IV, Jul 23 2015

CROSSREFS

Cf. A000040, A002109, A260611.

Sequence in context: A052964 A084178 A262030 * A195812 A264491 A144697

Adjacent sequences:  A260175 A260176 A260177 * A260179 A260180 A260181

KEYWORD

nonn,easy

AUTHOR

Matthew Campbell, Jul 17 2015

STATUS

approved

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Last modified January 22 23:00 EST 2019. Contains 319365 sequences. (Running on oeis4.)