The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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