login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A096165 Prime powers with exponents that are themselves prime powers. 3
2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32, 37, 41, 43, 47, 49, 53, 59, 61, 67, 71, 73, 79, 81, 83, 89, 97, 101, 103, 107, 109, 113, 121, 125, 127, 128, 131, 137, 139, 149, 151, 157, 163, 167, 169, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

A000040, A053810, A050376 and A082522 are subsequences;

a(n)=A000961(n+1) for 1<=n<=26.

Complement of A164345 with respect to A000961.

LINKS

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

EXAMPLE

512=2^9=2^(3^2), A000961(118)=A000040(1)^A000961(118), therefore 512 is a term;

64=2^6, but 6 is not a prime power, therefore 64 is not a term.

PROG

(Haskell)

a096165 n = a096165_list !! (n-1)

a096165_list = filter ((== 1) . a010055 . a001222) $ tail a000961_list

-- Reinhard Zumkeller, Nov 17 2011

CROSSREFS

Cf. A010055, A001222.

Sequence in context: A128603 A195943 * A164336 A115919 A038701 A127072

Adjacent sequences:  A096162 A096163 A096164 * A096166 A096167 A096168

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 25 2004

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 15 17:13 EST 2012. Contains 205828 sequences.