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A047393
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Numbers that are congruent to {0, 1} mod 8.
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3
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0, 1, 8, 9, 16, 17, 24, 25, 32, 33, 40, 41, 48, 49, 56, 57, 64, 65, 72, 73, 80, 81, 88, 89, 96, 97, 104, 105, 112, 113, 120, 121, 128, 129, 136, 137, 144, 145, 152, 153, 160, 161, 168, 169, 176, 177, 184, 185, 192, 193, 200, 201, 208, 209, 216, 217, 224, 225, 232
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OFFSET
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1,3
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LINKS
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Table of n, a(n) for n=1..59.
Index to sequences with linear recurrences with constant coefficients, signature (1,1,-1).
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FORMULA
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a(n)=8*n-a(n-1)-15 (with a(1)=0) [From Vincenzo Librandi, Aug 05 2010]
a(n)=4*n-11/2-3*(-1)^n/2. G.f. x^2*(1+7*x) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Oct 08 2011
a(n+1)=Sum_k>=0 {A030308(n,k)*A146541(k)}. - From Philippe Deléham, Oct 17 2011.
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MAPLE
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a[0]:=0:a[1]:=1:for n from 2 to 100 do a[n]:=a[n-2]+8 od: seq(a[n], n=0..58); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 16 2008
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PROG
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(PARI) forstep(n=0, 200, [1, 7], print1(n", ")) \\ Charles R Greathouse IV, Oct 17 2011
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CROSSREFS
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Sequence in context: A050688 A134334 A079669 * A037371 A046790 A057111
Adjacent sequences: A047390 A047391 A047392 * A047394 A047395 A047396
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KEYWORD
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nonn,easy,changed
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from James A. Sellers, Jun 20 2000
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STATUS
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approved
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