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A092857 Representation of 1/sqrt(2*Pi) by an infinite sequence. 8

%I #7 Oct 27 2018 09:52:05

%S 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 60,62,67,68,69,70,71,72,75,77,78,81,82,83,84,88,90,99,101,102,103,

%U 105,107,109,110,111,115,116,117,121,123,124,125,126,127,128,129,130,132,135

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

%C 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 An example for the inverse mapping is A051006.

%H Ferenc Adorjan, <a href="http://web.axelero.hu/fadorjan/aronsf.pdf">Binary mapping of monotonic sequences and the Aronson function</a>

%o (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 Cf. A051006, A092855.

%K easy,nonn

%O 1,1

%A Ferenc Adorjan (fadorjan(AT)freemail.hu)

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)