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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). +0
1
1, 2, 9, 16, 625, 7776, 117649, 262144, 4782969, 1000000000, 25937424601, 743008370688, 23298085122481, 793714773254144, 29192926025390625, 4503599627370496, 48661191875666868481, 2185911559738696531968 (list; graph; listen)
OFFSET

1,2

EXAMPLE

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

CROSSREFS

Sequence in context: A078707 A085332 A062981 this_sequence A137189 A028503 A100291

Adjacent sequences: A069619 A069620 A069621 this_sequence A069623 A069624 A069625

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 27 2002

EXTENSIONS

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

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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