

A047337


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


1



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
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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((n1)/5) + ((n1) 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)*(x1)^2 ).  R. J. Mathar, Dec 04 2011
a(n) = floor((7/6)*floor(6*(n1)/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



