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A047217
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Numbers that are congruent to {0, 1, 2} mod 5.
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21
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0, 1, 2, 5, 6, 7, 10, 11, 12, 15, 16, 17, 20, 21, 22, 25, 26, 27, 30, 31, 32, 35, 36, 37, 40, 41, 42, 45, 46, 47, 50, 51, 52, 55, 56, 57, 60, 61, 62, 65, 66, 67, 70, 71, 72, 75, 76, 77, 80, 81, 82, 85, 86, 87, 90, 91, 92, 95, 96, 97, 100, 101, 102, 105, 106, 107, 110, 111
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OFFSET
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1,3
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COMMENTS
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Also the only numbers that are eligible to be the sum of two 4th powers. - Cino Hilliard, Nov 23, 2003
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index to sequences with linear recurrences with constant coefficients, signature (1,0,1,-1).
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FORMULA
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a(n+1)=Sum_k>=0 {A030341(n,k)*b(k)} with b(0)=1 and b(k)=5*3^(k-1) for k>0. - From Philippe Deléham, Oct 22 2011.
G.f.: x^2*(1+x+3*x^2)/(1-x)^2/(1+x+x^2). [Colin Barker, Feb 17 2012]
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MATHEMATICA
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Select[Range[0, 120], MemberQ[{0, 1, 2}, Mod[#, 5]]&] (* From Harvey P. Dale, Jan 20 2012 *)
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PROG
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(PARI) a(n)=n--\3*5+n%3 \\ Charles R Greathouse IV, Oct 22 2011
(MAGMA) I:=[0, 1, 2, 5]; [n le 4 select I[n] else Self(n-1)+Self(n-3)-Self(n-4): n in [1..70]]: // Vincenzo Librandi, Apr 25 2012
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CROSSREFS
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Sequence in context: A057694 A049303 A177987 * A219650 A039015 A037453
Adjacent sequences: A047214 A047215 A047216 * A047218 A047219 A047220
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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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