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A036106 A summarize Fibonacci sequence: summarize the previous two terms!. 2
1, 2, 1211, 2231, 133241, 14333231, 24632241, 1634534231, 261544434231, 262564533241, 363564435231, 464544634221, 463574533221, 17363574434221, 37263554634231, 37363554734231, 37364544933221, 1937263554933221 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

From the 26th term the sequence gets into a cycle of 46.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..254 = 5 periods.

Index to sequences related to say what you see

EXAMPLE

a(24) = 293847463554538221;

a(25) = 294827365564537221 = first term of first period;

a(26) = 293837366554537221;

a(70) = 294837364554538221 = last term of first period != a(24);

a(71) = 294827365564537221 = a(25) = first term of second period;

a(72) = 293837366554537221 = a(26);

a(116) = 294837364554538221 = a(70) = last term of second period;

a(117) = 294827365564537221 = a(71) = first term of third period.

MATHEMATICA

a[0] = 1; a[1] = 2; a[n_] := a[n] = Reverse /@ (IntegerDigits /@ {a[n-2], a[n-1]} // Flatten // Tally // Sort // Reverse) // Flatten // FromDigits; Table[a[n], {n, 0, 17}] (* Jean-Fran├žois Alcover, Nov 02 2016 *)

PROG

(Haskell)

import Data.List (sort, group); import Data.Function (on)

a036106 n = a036106_list !! n

a036106_list = 1 : 2 : map (read . concatMap say . reverse . group . sort)

               (zipWith ((++) `on` show) a036106_list $ tail a036106_list)

               where say ws = (show $ length ws) ++ [head ws]

-- Reinhard Zumkeller, Oct 05 2015

CROSSREFS

Cf. A036059.

Sequence in context: A272246 A277274 A036104 * A171940 A160003 A078170

Adjacent sequences:  A036103 A036104 A036105 * A036107 A036108 A036109

KEYWORD

base,easy,nice,nonn

AUTHOR

Floor van Lamoen

STATUS

approved

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Last modified December 10 03:42 EST 2016. Contains 278993 sequences.