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A269222 Period 4: repeat [1,9,8,9]. 0
1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9, 1, 9, 8, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Digital root of Fib(18*n).

Decimal expansion of 221/1111.

LINKS

Table of n, a(n) for n=1..88.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1).

FORMULA

a(n) = A010888(Fib(18*n)).

EXAMPLE

For n=2, a(2) = digital root of Fib(18*2) or 14930352; therefore, a(2) = 9, since the digital root of 14930352 = 9.

MATHEMATICA

Table[NestWhile[Total@ IntegerDigits@ # &, Fibonacci[18 n], IntegerLength@ # > 1 &], {n, 120}] (* Michael De Vlieger, Jul 11 2016 *)

PROG

(PARI) a(n)=[9, 1, 9, 8][n%4+1] \\ Charles R Greathouse IV, Jul 21 2016

CROSSREFS

Cf. A008600, A010888.

Sequence in context: A163930 A157371 A245330 * A201994 A243277 A200003

Adjacent sequences:  A269219 A269220 A269221 * A269223 A269224 A269225

KEYWORD

nonn,base,easy

AUTHOR

Peter M. Chema, Jul 11 2016

STATUS

approved

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Last modified June 24 21:16 EDT 2019. Contains 324337 sequences. (Running on oeis4.)