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A004766
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Numbers whose binary expansion ends 01.
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2
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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
| Tanya Khovanova, Recursive Sequences
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FORMULA
| a(n)=8*n-a(n-1)-2 (with a(1)=5) [From Vincenzo Librandi, Nov 18 2010]
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MAPLE
| seq( 4*x+1, x=1..100 );
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MATHEMATICA
| 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
| Essentially same as A016813.
Sequence in context: A141135 A194395 A162502 * A016813 A198395 A190951
Adjacent sequences: A004763 A004764 A004765 * A004767 A004768 A004769
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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