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Search: id:A103127
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| A103127 |
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Numbers congruent to {-1, 1, 3, 5} mod 16. |
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+0
4
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| 1, 3, 5, 15, 17, 19, 21, 31, 33, 35, 37, 47, 49, 51, 53, 63, 65, 67, 69, 79, 81, 83, 85, 95, 97, 99, 101, 111, 113, 115, 117, 127, 129, 131, 133, 143, 145, 147, 149, 159, 161, 163, 165, 175, 177, 179, 181, 191, 193, 195, 197, 207, 209, 211, 213, 223, 225, 227, 229, 239, 241
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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David Applegate, Benoit Cloitre, Philippe DELEHAM and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.
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LINKS
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David Applegate, Benoit Cloitre, Philippe DELEHAM and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [pdf, ps].
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FORMULA
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a(n)=a(n-4)+16. O.g.f.: x(1+2x+2x^2+10x^3+x^4)/((1-x)^2*(1+x)(1+x^2)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 30 2008]
a(n)=(1+I)*I^n-(-1)^n+4*n+(1-I)*(-I)^n, with n>=0 and I=sqrt(-1) [From Paolo P. Lava (ppl(AT)spl.at), Nov 19 2008]
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CROSSREFS
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If we subtract 1 and divide by 2 we get A047527. Different from A103192.
Sequence in context: A066420 A102582 A089168 this_sequence A103192 A097856 A071593
Adjacent sequences: A103124 A103125 A103126 this_sequence A103128 A103129 A103130
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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), Mar 25 2005
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