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

2, 3, 6, 7, 11, 16, 20, 22, 25, 26, 29, 30, 31, 32, 34, 36, 41, 42, 44, 45, 48, 50, 55, 59, 60, 62, 67, 68, 69, 70, 71, 72, 75, 77, 78, 81, 82, 83, 84, 88, 90, 99, 101, 102, 103, 105, 107, 109, 110, 111, 115, 116, 117, 121, 123, 124, 125, 126, 127, 128, 129, 130, 132, 135

Offset: 1

Author

Ferenc Adorjan (fadorjan(AT)freemail.hu)

Keywords

• easy
• nonn

Comments

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.

An example for the inverse mapping is A051006.

Links

• Ferenc Adorjan, Binary mapping of monotonic sequences and the Aronson function

Crossrefs

Cf. A051006, A092855.

Programs

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)} }