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A047206
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Numbers that are congruent to {1, 3, 4} mod 5.
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21
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1, 3, 4, 6, 8, 9, 11, 13, 14, 16, 18, 19, 21, 23, 24, 26, 28, 29, 31, 33, 34, 36, 38, 39, 41, 43, 44, 46, 48, 49, 51, 53, 54, 56, 58, 59, 61, 63, 64, 66, 68, 69, 71, 73, 74, 76, 78, 79, 81, 83, 84, 86, 88, 89, 91, 93, 94, 96, 98, 99, 101, 103, 104, 106, 108
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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..65.
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FORMULA
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G.f.: (1+2*x+x^2+x^3)/((1-x)^2*(1+x+x^2)).
a(n) = +1*a(n-1) +1*a(n-3) -1*a(n-4).
a(n)= 1+(5*n)/3-(i*sqrt(3) * (-1/2+(i*sqrt(3))/2)^n)/9+(i*sqrt(3)* (-1/2-(i*sqrt(3))/2)^n)/9 - Stephen Crowley (crow(AT)crowlogic.net), Feb 11 2007
a(n) = floor((5*n-1)/3). [From Gary Detlefs,May 14 2011]
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MATHEMATICA
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Select[Range[0, 200], MemberQ[{1, 3, 4}, Mod[#, 5]] &] (* From Vladimir Joseph Stephan Orlovsky, Feb 12 2012 *)
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PROG
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(MAGMA) [ n : n in [1..150] | n mod 5 in [1, 3, 4] ]; - Vincenzo Librandi, Mar 2011
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CROSSREFS
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Sequence in context: A182772 A059535 A061402 * A187474 A081031 A133280
Adjacent sequences: A047203 A047204 A047205 * A047207 A047208 A047209
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KEYWORD
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nonn
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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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