A254056 Sum two last digits of the sequence to get next term, starting with 1,2.

1, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11

Offset

1,2

Comments

Start with {1,2}: 1,2,3,5,8,13,4,7,11,2,3,5,8,13,4,7,11,2,3,5,8,13,4,7,... period {11,2,3,5,8,13,4,7,}.

Sequences with any other pair of initial digits eventually merge with case {1,2} except for the case {4,5}: 4,5,9,14,5,9,14,5,9,14,... which has period {5,9,14}.

Links

Table of n, a(n) for n=1..57.

Mathematica

a=1; b=2; s={a, b}; dd={a, b}; Do[a=dd[[-1]]+dd[[-2]]; AppendTo[s, a]; dd=Flatten[{dd, IntegerDigits[s]}], {20}]; s

Crossrefs

Sequence in context: A135102 A214156 A078414 * A238948 A336716 A345097

Adjacent sequences: A254053 A254054 A254055 * A254057 A254058 A254059

Keyword

nonn,base

Author

Zak Seidov, Jan 24 2015

Status

approved