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A137318 Concatenation of segments of the digit sequence 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3.... 1

%I #15 Jan 02 2024 08:59:19

%S 1,31,313,1313,13131,313131,3131313,13131313,131313131,3131313131,

%T 31313131313,131313131313,1313131313131,31313131313131,

%U 313131313131313,1313131313131313,13131313131313131,313131313131313131

%N Concatenation of segments of the digit sequence 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3....

%C A000042 is 1,11,111,1111,11111,... concatenation of 111111111111111....

%C A002276 is 2,22,222,2222,22222,... concatenation of 222222222222222....

%C A133013 is 2,35,71113,... concatenation of 2 3 5 7 11 13 17 19 23 29,...

%H Harvey P. Dale, <a href="/A137318/b137318.txt">Table of n, a(n) for n = 1..1000</a>

%F O.g.f.: x*(100x^4 + 200x^3 + 83x^2 + 20x + 1)/((10x-1)(100x^2+1)(x-1)(x^2+1)). - _R. J. Mathar_, Apr 09 2008

%t Module[{nn=20},FromDigits/@TakeList[PadRight[{},(nn(nn+1))/2,{1,3}],Range[ nn]]] (* _Harvey P. Dale_, Aug 04 2021 *)

%Y Cf. A000040, A000042.

%K nonn,base,easy

%O 1,2

%A _Ctibor O. Zizka_, Apr 06 2008

%E More terms from _R. J. Mathar_, Apr 09 2008

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)