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A025474 Exponent of n-th prime power (A000961). 29
0, 1, 1, 2, 1, 1, 3, 2, 1, 1, 4, 1, 1, 1, 2, 3, 1, 1, 5, 1, 1, 1, 1, 2, 1, 1, 1, 6, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

A000961(n) = A025473(n)^a(n); A056798(n) = A025473(n)^(2*a(n));

A192015(n) = a(n)*A025473(n)^(a(n)-1). [Reinhard Zumkeller, Jun 24 2011]

a(n) is the number of automorphisms on the field with order A000961(n).  This group of automorphisms is cyclic of order a(n). - Geoffrey Critzer, Feb 23 2018

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A001222(A000961(n)). - David Wasserman, Feb 16 2006

MATHEMATICA

Prepend[Table[ FactorInteger[q][[1, 2]], {q,

Select[Range[1, 1000], PrimeNu[#] == 1 &]}], 0] (* Geoffrey Critzer, Feb 23 2018 *)

PROG

(Haskell)

a025474 = a001222 . a000961 -- Reinhard Zumkeller, Aug 13 2013

CROSSREFS

a(n)=A100995(A000961(n)).

Cf. A117331.

Sequence in context: A172279 A164953 A136622 * A136575 A309898 A193592

Adjacent sequences:  A025471 A025472 A025473 * A025475 A025476 A025477

KEYWORD

easy,nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified September 29 15:17 EDT 2020. Contains 337432 sequences. (Running on oeis4.)