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Search: id:A092857
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| A092857 |
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Representation of 1/sqrt(2*Pi) by an infinite sequence. |
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+0
9
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| 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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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
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LINKS
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Ferenc Adorjan, Binary mapping of monotonic sequences and the Aronson function
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PROGRAM
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(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)} }
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CROSSREFS
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Cf. A092855, A051006, A092858, A092859, A092860, A092861, A092862, A092863, A092874.
Sequence in context: A049196 A096578 A027754 this_sequence A062404 A032875 A032842
Adjacent sequences: A092854 A092855 A092856 this_sequence A092858 A092859 A092860
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KEYWORD
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easy,nonn
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AUTHOR
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Ferenc Adorjan (fadorjan(AT)freemail.hu)
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