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A141310
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The odd numbers interlaced with the constant-2 sequence.
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0
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1, 2, 3, 2, 5, 2, 7, 2, 9, 2, 11, 2, 13, 2, 15, 2, 17, 2, 19, 2, 21, 2, 23, 2, 25, 2, 27, 2, 29, 2, 31, 2, 33, 2, 35, 2, 37, 2, 39, 2, 41, 2, 43, 2, 45, 1, 47, 2, 49, 2, 51, 2, 53, 2, 55, 2, 57, 2, 59, 2
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OFFSET
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0,2
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COMMENTS
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Similarly, the principle of interlacing a sequence and its first differences
leads from A000012 and its differences A000004 to A059841, or from
A140811 and its first differences A017593 to a sequence -1,6,5,18,...
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LINKS
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Table of n, a(n) for n=0..59.
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FORMULA
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a(2n)=A005408(n). a(2n+1)=2.
First differences: a(n+1)-a(n) = (-1)^(n+1)*A109613(n-1), n>0.
b(2n)= -A008586(n), and b(2n+1)=A060747(n), where b(n)=a(n+1)-2*a(n).
a(n)=2*a(n-2)-a(n-4). G.f.: (1+2*x+x^2-2*x^3)/((x-1)^2*(1+x)^2). - R. J. Mathar, Feb 23 2009
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CROSSREFS
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Sequence in context: A079868 A088444 A108077 * A007389 A007388 A057815
Adjacent sequences: A141307 A141308 A141309 * A141311 A141312 A141313
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KEYWORD
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nonn,easy
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AUTHOR
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Paul Curtz, Aug 02 2008
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EXTENSIONS
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Edited by R. J. Mathar, Feb 23 2009
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STATUS
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approved
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