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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 (list; graph; refs; listen; history; text; internal format)
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*n-a(n-1)-3, with a(1)=4. - Vincenzo Librandi, Aug 05 2010

G.f.: ( x*(4+x+x^2) ) / ( (1+x)*(x-1)^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

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Last modified July 31 08:50 EDT 2021. Contains 346369 sequences. (Running on oeis4.)