A047337 Numbers that are congruent to {0, 1, 2, 3, 4} mod 7.

0, 1, 2, 3, 4, 7, 8, 9, 10, 11, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 28, 29, 30, 31, 32, 35, 36, 37, 38, 39, 42, 43, 44, 45, 46, 49, 50, 51, 52, 53, 56, 57, 58, 59, 60, 63, 64, 65, 66, 67, 70, 71, 72, 73, 74, 77, 78

Offset

1,3

Links

Table of n, a(n) for n=1..57.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1).

Formula

a(n) = 7*floor((n-1)/5) + ((n-1) mod 5). - Gary Detlefs, Mar 09 2010

G.f.: x^2*(1 + x + x^2 + x^3 + 3*x^4) / ( (1 + x + x^2 + x^3 + x^4)*(x-1)^2 ). - R. J. Mathar, Dec 04 2011

a(n) = floor((7/6)*floor(6*(n-1)/5)). - Bruno Berselli, May 03 2016

Mathematica

DeleteCases[Range[0, 80], _?(Mod[#, 7]>4&)] (* Harvey P. Dale, Aug 21 2013 *)

Prog

(Magma) [n: n in [0..150] | n mod 7 in [0..4]]; // Vincenzo Librandi, May 04 2016

Crossrefs

Sequence in context: A039074 A326966 A326784 * A039049 A037466 A285405

Adjacent sequences: A047334 A047335 A047336 * A047338 A047339 A047340

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved