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.

A291962 Decimal repunits written in base 2.

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%I A291962 #18 Apr 01 2023 12:08:56
%S A291962 0,1,1011,1101111,10001010111,10101101100111,11011001000000111,
%T A291962 100001111010001000111,101010011000101011000111,
%U A291962 110100111110110101111000111,1000010001110100011010111000111,1010010110010001100001100111000111,1100111011110101111010000000111000111
%N A291962 Decimal repunits written in base 2.
%C A291962 Interpreting A002275 as binary numbers and converting to decimal gives A000225. This sequence gives the resulting terms of the "reverse" operation.
%C A291962 The n least significant bits of a(n) seem to converge to A088911 as n increases.
%H A291962 Seiichi Manyama, <a href="/A291962/b291962.txt">Table of n, a(n) for n = 0..301</a>
%F A291962 a(n) = A007088(A002275(n)).
%t A291962 Table[FromDigits@ IntegerDigits[Floor[10^n/9], 2], {n, 0, 12}] (* _Michael De Vlieger_, Sep 06 2017 *)
%t A291962 FromDigits[IntegerDigits[#,2]]&/@Table[FromDigits[PadRight[{},n,1]],{n,0,20}] (* _Harvey P. Dale_, Apr 01 2023 *)
%o A291962 (PARI) a(n) = subst(Pol(binary((10^n-1)/9)), x, 10)
%o A291962 (Python)
%o A291962 def a(n): return 0 if n == 0 else int(bin(int("1"*n))[2:])
%o A291962 print([a(n) for n in range(13)]) # _Michael S. Branicky_, Apr 26 2022
%Y A291962 Cf. A000225, A002275, A007088, A088911.
%K A291962 nonn,base,easy
%O A291962 0,3
%A A291962 _Felix Fröhlich_, Sep 06 2017