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A047243 Numbers that are congruent to {2, 3} mod 6. 5
2, 3, 8, 9, 14, 15, 20, 21, 26, 27, 32, 33, 38, 39, 44, 45, 50, 51, 56, 57, 62, 63, 68, 69, 74, 75, 80, 81, 86, 87, 92, 93, 98, 99, 104, 105, 110, 111, 116, 117, 122, 123, 128, 129, 134, 135, 140, 141, 146, 147, 152, 153, 158, 159, 164, 165, 170, 171, 176, 177, 182, 183 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Solutions to 3^x - 2^x == 5 (mod 7). - Cino Hilliard, May 09 2003

REFERENCES

Emil Grosswald, Topics From the Theory of Numbers. 1966 p 65 problem 23

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..10000

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

FORMULA

a(n) = 6*n - a(n-1) - 7, with a(1)=2. - Vincenzo Librandi, Aug 05 2010

G.f.: x*(2+x+3*x^2) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Oct 08 2011

MATHEMATICA

Select[Range[0, 183], MemberQ[{2, 3}, Mod[#, 6]] &] (* or *)

Fold[Append[#1, 6 #2 - Last@ #1 - 7] &, {2}, Range[2, 62]] (* or *)

Rest@ CoefficientList[Series[x (2 + x + 3 x^2)/((1 + x) (x - 1)^2), {x, 0, 62}], x] (* Michael De Vlieger, Jan 12 2018 *)

CROSSREFS

Cf. A030531.

Sequence in context: A284791 A281111 A301917 * A277094 A099148 A029787

Adjacent sequences:  A047240 A047241 A047242 * A047244 A047245 A047246

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Cino Hilliard, May 09 2003

STATUS

approved

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Last modified November 18 01:20 EST 2018. Contains 317279 sequences. (Running on oeis4.)