

A216754


Digital root of fourth power of Fibonacci numbers.


0



0, 1, 1, 7, 9, 4, 1, 4, 9, 7, 1, 1, 9, 1, 1, 7, 9, 4, 1, 4, 9, 7, 1, 1, 9, 1, 1, 7, 9, 4, 1, 4, 9, 7, 1, 1, 9, 1, 1, 7, 9, 4, 1, 4, 9, 7, 1, 1, 9, 1, 1, 7, 9, 4, 1, 4, 9, 7, 1, 1, 9, 1, 1, 7, 9, 4, 1, 4, 9, 7, 1, 1, 9, 1, 1, 7, 9, 4, 1, 4, 9, 7, 1, 1, 9, 1, 1, 7, 9, 4, 1, 4, 9, 7, 1, 1, 9, 1, 1, 7, 9, 4, 1, 4, 9, 7, 1, 1, 9
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OFFSET

0,4


COMMENTS

This sequence is periodic with period 12. Also, the first (2n  1) terms are symmetric about nth term, where n = 6k, k = 1, 2, 3, ...


LINKS

Table of n, a(n) for n=0..108.
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).


MATHEMATICA

Table[NestWhile[Total[IntegerDigits[#]] &, Fibonacci[n]^4, # > 9 &], {n, 0, 86}] (* T. D. Noe, Oct 15 2012 *)
Join[{0}, LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 7, 9, 4, 1, 4, 9, 7, 1, 1, 9}, 108]] (* Ray Chandler, Aug 27 2015 *)


CROSSREFS

Cf. A004090, A216676, A216699.
Sequence in context: A274169 A121168 A102375 * A303296 A118270 A179292
Adjacent sequences: A216751 A216752 A216753 * A216755 A216756 A216757


KEYWORD

nonn,base,easy


AUTHOR

Ravi Bhandari, Sep 15 2012


EXTENSIONS

Extended by Ray Chandler, Aug 27 2015


STATUS

approved



