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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

This sequence is periodic with period 12. Also, the first (2n - 1) terms are symmetric about n-th 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

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Last modified April 20 06:36 EDT 2019. Contains 322294 sequences. (Running on oeis4.)