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A254719
Perfect powers of Fibonacci numbers: a(n) = F(m)^k for appropriate m > 2 and k > 1, with F = A000045.
5
4, 9, 16, 25, 27, 32, 64, 81, 125, 128, 169, 243, 256, 441, 512, 625, 729, 1024, 1156, 2048, 2187, 2197, 3025, 3125, 4096, 6561, 7921, 8192, 9261, 15625, 16384, 19683, 20736, 28561, 32768, 39304, 54289, 59049, 65536, 78125, 131072, 142129, 166375, 177147
OFFSET
1,1
COMMENTS
Suggested by R. J. Mathar's comment in A105317.
LINKS
EXAMPLE
. A254719 | |4| |9| |16| |25|27|32| |64|81| |125|128| |169
. +-------+-+---+-+--+--+--+--+--+--+-----+--+--+--+---+---+---+---
. A105317 |0|1|2|3|4|5|8|9|13|16|21|25|27|32|34|55|64|81|89|125|128|144|169
. +-+-+-+-+-+-+-+-+--+--+--+--------+--+--+-----+--+-------+---+---
. A000045 |0|1|2|3| |5|8| |13| |21| |34|55| |89| |144|
PROG
(Haskell)
a254719 n = a254719_list !! (n-1)
a254719_list = g (0 : drop 2 a000045_list) a105317_list where
g fs'@(f:fs) (x:xs) = if x == f then g fs xs else x : g fs' xs
CROSSREFS
A105317 without A000045; cf. A001597.
Sequence in context: A067115 A061077 A292675 * A266918 A086132 A010433
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Feb 06 2015
STATUS
approved