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A022481 Describe previous term from the right (method B - initial term is 1). 11

%I #21 Jul 07 2017 17:24:51

%S 1,11,12,2111,1321,11213111,1331112112,211221133211,12213212221221,

%T 11221123112131112211,122213311121123121122212,

%U 211123122111312112211332112311

%N Describe previous term from the right (method B - initial term is 1).

%C Method B = 'digit'-indication followed by 'frequency'.

%H Reinhard Zumkeller, <a href="/A022481/b022481.txt">Table of n, a(n) for n = 1..24</a>

%e E.g. the term after 1321 is obtained by saying "1 once, 2 once, 3 once, 1 once", which gives 11213111.

%t A022481[1]:=1;A022481[n_]:=A022481[n]=FromDigits[Flatten[{First[#],Length[#]}&/@Split[Reverse[IntegerDigits[A022481[n-1]]]]]];Map[A022481,Range[15]] (* _Peter J. C. Moses_, Apr 22 2013 *)

%t a[1]=1;a[n_]:=a[n]=FromDigits[Flatten[Replace[ Replace[ Replace[ Split[ Reverse[IntegerDigits[a[n-1]]]],{x_,y_}->{x,Length[{x,y}]},{1}],{x_,y_,z_}->{x,Length[{x,y,z}]},{1}],{x_}->{x,Length[{x}]},{1}]]];Array[a,15] (* _Ivan N. Ianakiev_, Jun 22 2017 *)

%t NestList[FromDigits@ Flatten@ Reverse@ Map[{First@ #, Length@ #} &, Split@ IntegerDigits@ #] &, 1, 11] (* _Michael De Vlieger_, Jun 26 2017 *)

%o (Haskell)

%o import Data.List (group, transpose)

%o a022481 n = a022481_list !! (n-1)

%o a022481_list = 1 : f [1] :: [Integer] where

%o f xs = (read $ concatMap show ys) : f ys where

%o ys = concat $ transpose [map head zss, map length zss]

%o zss = reverse $ group xs

%o -- _Reinhard Zumkeller_, Jan 26 2014

%Y Cf. A022488, A022514, A022515, A022516, A022517, A022518, A022519, A022520.

%K nonn,base,easy,nice

%O 1,2

%A _Clark Kimberling_

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)