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Search: id:A103615
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| 1, 0, 1, 1, 2, 0, 2, 2, 3, 1, 1, 1, 2, 1, 3, 3, 4, 2, 2, 2, 3, 0, 2, 2, 3, 1, 1, 1, 3, 2, 4, 4, 5, 3, 3, 3, 4, 1, 3, 3, 4, 2, 2, 2, 2, 1, 3, 3, 4, 2, 2, 2, 3, 0, 2, 2, 3, 1, 1, 2, 4, 3, 5, 5, 6, 4, 4, 4, 5, 2, 4, 4, 5, 3, 3, 3, 3, 2, 4, 4, 5, 3, 3, 3, 4, 1, 3, 3, 4, 2, 2, 1, 3, 2, 4, 4, 5, 3, 3, 3, 4, 1, 3, 3, 4
(list; graph; listen)
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OFFSET
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0,5
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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)=A023416[A102370(n)]. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 10 2007
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EXAMPLE
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The sequence has a natural decomposition into blocks (see the paper) : 1; 0; 1, 1, 2; 0, 2, 2, 3, 1, 1, 1; 2, 1, 3, 3, 4, 2, 2, 2, 3, 0, 2, 2, 3, 1, 1; 1, 3, ...
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MAPLE
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A023416 := proc(n) local digs : digs := convert(n, base, 2) : if nops(digs) = 0 then 1: else add(1-j, j=digs) : fi : end: ili := readline("b102370.txt") : while ili <> 0 do na := sscanf(ili, "%d %d") : na := A023416(op(2, na)) ; printf("%d, ", na) ; ili := readline("b102370.txt") : od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 10 2007
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CROSSREFS
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Cf. A102370, A103542, A089400.
Sequence in context: A166395 A061199 A144741 this_sequence A159632 A164733 A070101
Adjacent sequences: A103612 A103613 A103614 this_sequence A103616 A103617 A103618
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KEYWORD
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nonn,easy
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AUTHOR
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Philippe Deleham (kolotoko(AT)wanadoo.fr), Mar 31 2005
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 10 2007
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