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A047465
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Numbers that are congruent to {1, 2, 4} mod 8.
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1
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1, 2, 4, 9, 10, 12, 17, 18, 20, 25, 26, 28, 33, 34, 36, 41, 42, 44, 49, 50, 52, 57, 58, 60, 65, 66, 68, 73, 74, 76, 81, 82, 84, 89, 90, 92, 97, 98, 100, 105, 106, 108, 113, 114, 116, 121, 122, 124, 129, 130, 132, 137
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OFFSET
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1,2
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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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G.f.: x*(1+x+2*x^2+4*x^3)/((1-x)^2*(1+x+x^2)). [Colin Barker, May 14 2012]
a(n) = a(n-1) + a(n-3) - a(n-4). Vincenzo Librandi, May 16 2012
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MATHEMATICA
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Select[Range[0, 300], MemberQ[{1, 2, 4}, Mod[#, 8]]&] (* Vincenzo Librandi, May 16 2012 *)
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PROG
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(MAGMA) I:=[1, 2, 4, 9]; [n le 4 select I[n] else Self(n-1)+Self(n-3)-Self(n-4): n in [1..70]]; // Vincenzo Librandi, May 16 2012
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CROSSREFS
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Sequence in context: A076661 A072583 A178488 * A002258 A191766 A026602
Adjacent sequences: A047462 A047463 A047464 * A047466 A047467 A047468
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KEYWORD
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nonn,easy
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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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