

A047206


Numbers that are congruent to {1, 3, 4} mod 5.


21



1, 3, 4, 6, 8, 9, 11, 13, 14, 16, 18, 19, 21, 23, 24, 26, 28, 29, 31, 33, 34, 36, 38, 39, 41, 43, 44, 46, 48, 49, 51, 53, 54, 56, 58, 59, 61, 63, 64, 66, 68, 69, 71, 73, 74, 76, 78, 79, 81, 83, 84, 86, 88, 89, 91, 93, 94, 96, 98, 99, 101, 103, 104, 106, 108
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..65.
Index entries for linear recurrences with constant coefficients, signature (1,0,1,1).


FORMULA

G.f.: (1+2*x+x^2+x^3)/((1x)^2*(1+x+x^2)).
a(n) = +1*a(n1) +1*a(n3) 1*a(n4).
a(n)= 1+(5*n)/3(i*sqrt(3) * (1/2+(i*sqrt(3))/2)^n)/9+(i*sqrt(3)* (1/2(i*sqrt(3))/2)^n)/9.  Stephen Crowley, Feb 11 2007
a(n) = floor((5*n1)/3). Gary Detlefs, May 14 2011


MATHEMATICA

Select[Range[0, 200], MemberQ[{1, 3, 4}, Mod[#, 5]] &] (* Vladimir Joseph Stephan Orlovsky, Feb 12 2012 *)


PROG

(MAGMA) [ n : n in [1..150]  n mod 5 in [1, 3, 4] ]; // Vincenzo Librandi, Mar 31 2011
(PARI) a(n)=(5*n1)\3 \\ Charles R Greathouse IV, Jul 01 2013


CROSSREFS

Sequence in context: A182772 A059535 A061402 * A187474 A081031 A133280
Adjacent sequences: A047203 A047204 A047205 * A047207 A047208 A047209


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



