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 A047367 Numbers that are congruent to {0, 1, 3, 4, 5} mod 7. 1
 0, 1, 3, 4, 5, 7, 8, 10, 11, 12, 14, 15, 17, 18, 19, 21, 22, 24, 25, 26, 28, 29, 31, 32, 33, 35, 36, 38, 39, 40, 42, 43, 45, 46, 47, 49, 50, 52, 53, 54, 56, 57, 59, 60, 61, 63, 64, 66, 67, 68, 70, 71, 73, 74, 75, 77, 78 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1). FORMULA G.f.: x^2*(1 + 2*x + x^2 + x^3 + 2*x^4) / ( (x^4 + x^3 + x^2 + x + 1)*(x-1)^2 ). - R. J. Mathar, Dec 04 2011 MATHEMATICA CoefficientList[Series[x (1 + 2 x + x^2 + x^3 + 2 x^4) / ((x^4 + x^3 + x^2 + x + 1) (x - 1)^2), {x, 0, 60}], x] (* Vincenzo Librandi, Jul 26 2013 *) #+{0, 1, 3, 4, 5}&/@(7*Range[0, 20])//Flatten (* or *) LinearRecurrence[ {1, 0, 0, 0, 1, -1}, {0, 1, 3, 4, 5, 7}, 80] (* Harvey P. Dale, Jun 05 2019 *) PROG (MAGMA) [n: n in [1..80] | n mod 7 in [0, 1, 3, 4, 5]]; // Vincenzo Librandi, Jul 26 2013 CROSSREFS Sequence in context: A330993 A184744 A063732 * A184620 A039043 A116591 Adjacent sequences:  A047364 A047365 A047366 * A047368 A047369 A047370 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified July 31 22:27 EDT 2021. Contains 346377 sequences. (Running on oeis4.)