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Search: id:A004766
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| A004766 |
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Numbers whose binary expansion ends 01. |
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+0
3
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| 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 77, 81, 85, 89, 93, 97, 101, 105, 109, 113, 117, 121, 125, 129, 133, 137, 141, 145, 149, 153, 157, 161, 165, 169, 173, 177, 181, 185, 189, 193, 197, 201, 205, 209, 213, 217, 221, 225
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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These are the numbers for which zeta(2*x+1) needs just 3 terms to be evaluated. - Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Dec 16 2004
The binary representation of a(n) has exactly the same number of 0s and 1s as the binary representation of a(n+1). [From Gil Broussard (gilbroussard(AT)bellsouth.net), Dec 18 2008]
a(n) = number of monomials in n-th power of x^4+x^3+x^2+x+1 - Artur Jasinski (grafix(AT)csl.pl), Oct 06 2008
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LINKS
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Tanya Khovanova, Recursive Sequences
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MAPLE
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seq( 4*x+1, x=1..100 );
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MATHEMATICA
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a = {}; k = x^4 + x^3 + x^2 + x + 1; m = k; Do[AppendTo[a, Length[m]]; m = Expand[m*k], {n, 1, 100}]; a (*Artur Jasinski*)
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CROSSREFS
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Essentially same as A016813.
Sequence in context: A141135 A162502 A016813 this_sequence A145288 A057948 A004958
Adjacent sequences: A004763 A004764 A004765 this_sequence A004767 A004768 A004769
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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