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A047287 Numbers that are congruent to {0, 1, 2, 3, 6} mod 7. 1
0, 1, 2, 3, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 20, 21, 22, 23, 24, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 48, 49, 50, 51, 52, 55, 56, 57, 58, 59, 62, 63, 64, 65, 66, 69, 70, 71, 72, 73, 76, 77, 78 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
FORMULA
G.f.: x^2*(1+x+x^2+3*x^3+x^4)/((1-x)^2*(1+x+x^2+x^3+x^4)). [Colin Barker, May 14 2012]
a(n) = a(n-1) + a(n-5) - a(n-6) for n > 6. Vincenzo Librandi, May 15 2012
a(n) = (7n - 5 - 2*(n mod 5)/5. - Wesley Ivan Hurt, Dec 28 2016
MATHEMATICA
Select[Range[0, 400], MemberQ[{0, 1, 2, 3, 6}, Mod[#, 7]]&] (* Vincenzo Librandi, May 15 2012 *)
PROG
(Magma) I:=[0, 1, 2, 3, 6, 7]; [n le 6 select I[n] else Self(n-1)+Self(n-5)-Self(n-6): n in [1..70]]; // Vincenzo Librandi, May 15 2012
CROSSREFS
Sequence in context: A265334 A050019 A163099 * A039047 A336205 A047246
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)