login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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.
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-François 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 * A285691 A281250 A369777
KEYWORD
base,easy,nice,nonn
AUTHOR
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 26 22:44 EST 2024. Contains 370354 sequences. (Running on oeis4.)