cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A049190 Start with 1. Convert to base 2, describe it in base 2, convert to base 10. Repeat with the new result.

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%I A049190 #27 Jul 14 2025 00:19:07
%S A049190 1,3,5,59,245,2491,235253,127756731,330567489269,258479716298484155,
%T A049190 36823182192123209878050549,25576412117054296344209353299113896379,
%U A049190 10994511204169842163496446583221775727830456269734123253
%N A049190 Start with 1. Convert to base 2, describe it in base 2, convert to base 10. Repeat with the new result.
%C A049190 a(n) is A001387(n) converted to base 10. - _Nathan Fox_, Mar 07 2018
%C A049190 "Describe" means to apply the "look-and-say" function (cf. A045918), but the "count" is again expressed in binary (and concatenated with the digit), cf. examples. - _M. F. Hasler_, Jul 12 2025
%e A049190 1 -> one 1 -> 11 -> 3;
%e A049190 3 -> 11 -> two 1s -> 101 -> 5;
%e A049190 5 -> 101 -> one 1, one 0, one 1 -> 111011 -> 59;
%e A049190 etc.
%o A049190 (PARI) A049190_first(N=13)=vector(N, i, N=if(i>1, my(d=binary(N), j=0); d=concat(d[^1]-d[^-1],-1); fromdigits(concat([concat(binary(-j+j=n), d[n]<0) | n<-[1..#d], d[n]]), 2), 1)) \\ _M. F. Hasler_, Jul 12 2025
%Y A049190 Cf. A005150, A001387.
%K A049190 nonn,base
%O A049190 1,2
%A A049190 _Olivier Gérard_
%E A049190 Definition and Example corrected by _Nathan Fox_, Mar 07 2018