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.

A065761 Concatenation of increasing number of alternating digits in base 2, starting with 0.

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%I A065761 #13 Oct 16 2023 12:03:44
%S A065761 0,3,24,399,12768,817215,104603520,26778501375,13710592704000,
%T A065761 14039646928897023,28753196910381103104,117773094544920998318079,
%U A065761 964797190511992818221703168,15807237169348490333744384720895
%N A065761 Concatenation of increasing number of alternating digits in base 2, starting with 0.
%C A065761 The first 5 terms in base 2 are 0, (0)11, (0)11000, (0)110001111, (0)11000111100000.
%H A065761 Harry J. Smith, <a href="/A065761/b065761.txt">Table of n, a(n) for n = 1..50</a>
%F A065761 a(1) = 0; a(n+1) = append n+1 0's or 1's (alternately) to a(n).
%e A065761 a(5) = 12768 is formed by appending 0 five times (00000) to a(4) in base 2: (0)11000111100000.
%o A065761 (PARI) baseI(x, b)= { local(d, e=0, f=1); while (x>0, d=x-10*(x\10); x\=10; e+=d*f; f*=b); return(e) } { c=1; for (n=1, 50, if (n==1, a=0; b=0, c=c*10 + 1; if (n%2, d=0, d=c); b=b*10^n + d; a=baseI(b, 2)); write("b065761.txt", n, " ",a) ) } \\ _Harry J. Smith_, Oct 30 2009
%Y A065761 Cf. A065760, A065447.
%K A065761 base,easy,nonn
%O A065761 1,2
%A A065761 _Lior Manor_, Nov 18 2001