

A047257


Numbers that are congruent to {4, 5} mod 6.


4



4, 5, 10, 11, 16, 17, 22, 23, 28, 29, 34, 35, 40, 41, 46, 47, 52, 53, 58, 59, 64, 65, 70, 71, 76, 77, 82, 83, 88, 89, 94, 95, 100, 101, 106, 107, 112, 113, 118, 119, 124, 125, 130, 131, 136, 137, 142, 143, 148, 149
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..50.
Index entries for linear recurrences with constant coefficients, signature (1,1,1)


FORMULA

a(n) = 4 + 6*floor(n/2) + n mod 2.
a(n) = 6*na(n1)3, with a(1)=4.  Vincenzo Librandi, Aug 05 2010
G.f.: ( x*(4+x+x^2) ) / ( (1+x)*(x1)^2 ).  R. J. Mathar, Oct 08 2011
a(n) = 3*n(1)^n.  Wesley Ivan Hurt, Mar 20 2015


MATHEMATICA

Select[Range@ 150, 4 <= Mod[#, 6] <= 5 &] (* Michael De Vlieger, Mar 20 2015 *)
LinearRecurrence[{1, 1, 1}, {4, 5, 10}, 50] (* Harvey P. Dale, Oct 16 2017 *)


PROG

(Maxima) A047257(n):=4 + 6*floor(n/2) + mod(n, 2)$ akelist(A047257(n), n, 0, 40); /* Martin Ettl, Oct 24 2012 */


CROSSREFS

Sequence in context: A037353 A269003 A246390 * A327311 A151735 A050039
Adjacent sequences: A047254 A047255 A047256 * A047258 A047259 A047260


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



