A069622 Let Power(n) be the sequence of integer roots or powers of n. Power(1) is 1,1,1,1,... Power(4) is 1,2,4,16,64,256,... Power(27) is 1,3,9,27,729,... Power (p^k) is 1,p,p^a,p^b,...p^k, p^2k,p^3k,...where p is a prime and a,b etc. are divisors of k. This is the sequence of the n-th term of Power(n).

1, 2, 9, 16, 625, 7776, 117649, 262144, 4782969, 1000000000, 25937424601, 743008370688, 23298085122481, 793714773254144, 29192926025390625, 4503599627370496, 48661191875666868481, 2185911559738696531968

Offset

1,2

Links

Table of n, a(n) for n=1..18.

Example

a(16) = 4503599627370496 = 16th term of Power(16): 1,2,4,16,256,4096,...

Crossrefs

Sequence in context: A085332 A204424 A062981 * A334193 A200944 A137189

Adjacent sequences: A069619 A069620 A069621 * A069623 A069624 A069625

Keyword

nonn

Author

Amarnath Murthy, Mar 27 2002

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Jul 03 2002

Status

approved