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A047451
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Numbers that are congruent to {0, 6} mod 8.
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1
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0, 6, 8, 14, 16, 22, 24, 30, 32, 38, 40, 46, 48, 54, 56, 62, 64, 70, 72, 78, 80, 86, 88, 94, 96, 102, 104, 110, 112, 118, 120, 126, 128, 134, 136, 142, 144, 150, 152, 158, 160, 166, 168, 174, 176, 182, 184, 190
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..48.
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)-10 (with a(1)=0) [From Vincenzo Librandi, Aug 06 2010]
a(n) =4*n-3+(-1)^n. G.f. 2*x^2*(3+x) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Oct 08 2011
a(n+1)=Sum_k>=0 {A030308(n,k)*b(k)} with b(0)=6 and b(k)=2^(k+2) for k>0. - From Philippe Deléham, Oct 17 2011.
a(n) = c((8/3)*c(3*n/2)), where c = ceiling. [Clark Kimberling, Jul 4 2012]
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PROG
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(PARI) forstep(n=0, 200, [6, 2], print1(n", ")) \\ Charles R Greathouse IV, Oct 17 2011
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CROSSREFS
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Sequence in context: A101729 A209686 A178950 * A194399 A101123 A102721
Adjacent sequences: A047448 A047449 A047450 * A047452 A047453 A047454
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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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STATUS
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approved
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