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A254057 Sum three last digits to get next term of the sequence, starting 1,2,6. 0
1, 2, 6, 9, 17, 17, 15, 13, 9, 13, 13, 7, 11, 9, 11, 11, 3, 5, 9, 17, 17, 15, 13, 9, 13, 13, 7, 11, 9, 11, 11, 3, 5, 9, 17, 17, 15, 13, 9, 13, 13, 7, 11, 9, 11, 11, 3, 5, 9, 17, 17, 15, 13, 9, 13, 13, 7, 11, 9, 11, 11, 3, 5, 9, 17, 17, 15, 13, 9, 13, 13, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Start with {1,2,6}:

{1,2,6,9,17,17,15,13,9,13,13,7,11,9,11,11,3,5,9,17,17,15,13,9,13,13,7,11,9,11,11,3,5,9,17,17,15,13,9,13,13,7,11,9,11,11,3,5,... which has period {9,17,17,15,13,9,13,13,7,11,9,11,11,3,5}.

Apparently sequences with any three initial digits become periodic:

1,2,3,6,11,8,10,9,10,10,1,2,3,6,11,8,10,9,10,10,... period {1,2,3,6,11,8,10,9,10,10};

1,2,4,7,13,11,5,7,13,11,5,... period {7,13,11,5};

8,9,7,24,13,8,12,11,4,6,11,8,10,9,10,10,1,2,3,6,11,8,10,9,10,10,... period {1,2,3,6,11,8,10,9,10,10};

4,4,4,12,7,10,8,9,17,17,15,13,9,13,13,7,11,9,11,11,3,5,...  period {9,17,17,15,13,9,13,13,7,11,9,11,11,3,5}, etc.

LINKS

Table of n, a(n) for n=1..72.

MATHEMATICA

s={1, 2, 6}; dd={1, 2, 6}; Do[a=dd[[-1]]+dd[[-2]]+dd[[-3]]; AppendTo[s, a]; dd=Flatten[{dd, IntegerDigits[s]}], {100}]; s

nxt[{a_, b_, c_}]:={b, c, Total[Take[Flatten[IntegerDigits/@{a, b, c}], -3]]}; Transpose[ NestList[ nxt, {1, 2, 6}, 100]][[1]] (* Harvey P. Dale, Feb 01 2015 *)

CROSSREFS

Cf. A254056.

Sequence in context: A049622 A043548 A280228 * A257083 A054974 A072481

Adjacent sequences:  A254054 A254055 A254056 * A254058 A254059 A254060

KEYWORD

nonn,base

AUTHOR

Zak Seidov, Jan 24 2015

EXTENSIONS

More terms from Harvey P. Dale, Feb 01 2015

STATUS

approved

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Last modified November 13 01:32 EST 2018. Contains 317118 sequences. (Running on oeis4.)