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A064737 Fibonacci sequence (A000045) mod 10 with carry. 1
0, 1, 1, 2, 3, 5, 8, 3, 2, 6, 8, 4, 3, 8, 1, 10, 1, 2, 4, 6, 0, 7, 7, 4, 2, 7, 9, 6, 6, 3, 10, 3, 4, 8, 2, 1, 4, 5, 9, 4, 4, 9, 3, 3, 7, 0, 8, 8, 6, 5, 2, 8, 0, 9, 9, 8, 8, 7, 6, 4, 1, 6, 7, 3, 1, 5, 6, 1, 8, 9, 7, 7, 5, 3, 9, 2, 2, 5, 7, 2, 10, 2, 3, 6, 9, 5, 5, 1, 7, 8, 5, 4, 10, 4, 5, 10, 5, 6, 2, 9, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Observation (from Kaprekar) this sequence can be the reverse of 1/109 (A021113) which is recuring and has a period of 108 digits:

0.[009174311926605504587155963302752293577981651376146788

990825688073394495412844036697247706422018348623853211]. - Eric Desbiaux, Oct 28 2008

LINKS

Table of n, a(n) for n=0..101.

Primes.utm.edu, Sum of 11^n*10^n [From Eric Desbiaux, Oct 28 2008]

MATHEMATICA

f[0] = 0; f[1] = f[2] = 1; f[n_] := f[n] = Block[{k}, If[f[n - 2] + f[n - 3] >= 10, k = 1, k = 0]; Mod[f[n - 1] + f[n - 2], 10] + k]; Table[ f[n], {n, 0, 100} ]

CROSSREFS

Cf. A000045.

Sequence in context: A105955 A003893 A152303 * A246558 A098906 A007887

Adjacent sequences:  A064734 A064735 A064736 * A064738 A064739 A064740

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Oct 17 2001

STATUS

approved

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Last modified February 17 17:12 EST 2019. Contains 320222 sequences. (Running on oeis4.)