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.

A092857 Representation of 1/sqrt(2*Pi) by an infinite sequence.

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%I A092857 #7 Oct 27 2018 09:52:05
%S A092857 2,3,6,7,11,16,20,22,25,26,29,30,31,32,34,36,41,42,44,45,48,50,55,59,
%T A092857 60,62,67,68,69,70,71,72,75,77,78,81,82,83,84,88,90,99,101,102,103,
%U A092857 105,107,109,110,111,115,116,117,121,123,124,125,126,127,128,129,130,132,135
%N A092857 Representation of 1/sqrt(2*Pi) by an infinite sequence.
%C A092857 Any real number in the range (0,1), having infinite number of nonzero binary digits, can be represented by a monotonic infinite sequence, such a way that: n is in the sequence iff the n-th digit in the fraction part of the number is 1. See also A092855.
%C A092857 An example for the inverse mapping is A051006.
%H A092857 Ferenc Adorjan, <a href="http://web.axelero.hu/fadorjan/aronsf.pdf">Binary mapping of monotonic sequences and the Aronson function</a>
%o A092857 (PARI) {/* mtinv(x)= /*Returns the inverse binary mapping of x into a monotonic sequence */ local(z,v=[],r=[],l); z=frac(x);v=binary(z)[2];l=matsize(v)[2]; for(i=1,l,if(v[i]==1,r=concat(r,i)));return(r)} }
%Y A092857 Cf. A051006, A092855.
%K A092857 easy,nonn
%O A092857 1,1
%A A092857 Ferenc Adorjan (fadorjan(AT)freemail.hu)