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A047212
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Numbers that are congruent to {0, 2, 4} mod 5.
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21
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0, 2, 4, 5, 7, 9, 10, 12, 14, 15, 17, 19, 20, 22, 24, 25, 27, 29, 30, 32, 34, 35, 37, 39, 40, 42, 44, 45, 47, 49, 50, 52, 54, 55, 57, 59, 60, 62, 64, 65, 67, 69, 70, 72, 74, 75, 77, 79, 80, 82, 84, 85, 87, 89, 90, 92, 94, 95, 97, 99, 100, 102, 104, 105, 107
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,0,1,-1).
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FORMULA
| a(n) = +1*a(n-1) +1*a(n-3) -1*a(n-4).
G.f.: x^2*(2+2*x+x^2)/((1-x)^2*(1+x+x^2)) - Bruno Berselli, Mar 31 2011
a(n) = floor((5*n-3)/3). [From Gary Detlefs (gdetlefs(AT)aol.com), May 14 2011]
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MATHEMATICA
| Select[Range[0, 200], MemberQ[{0, 2, 4}, Mod[#, 5]] &] (* From Vladimir Joseph Stephan Orlovsky, Feb 12 2012 *)
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PROG
| (MAGMA) [ n : n in [0..140] | n mod 5 in [0, 2, 4] ]; - Vincenzo Librandi, Mar 31 2011
(MAGMA) &cat[ [n, n+2, n+4]: n in [0..90 by 5] ]; // Bruno Berselli, Mar 31 2011
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CROSSREFS
| Cf. A047209, A047211
Sequence in context: A004956 A026351 A184656 * A121347 A106829 A190228
Adjacent sequences: A047209 A047210 A047211 * A047213 A047214 A047215
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KEYWORD
| nonn,changed
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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