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A136313
a(1) = 1; for n>1, a(n) = a(n-1) + 8 mod 22.
2
1, 9, 17, 3, 11, 19, 5, 13, 21, 7, 15, 1, 9, 17, 3, 11, 19, 5, 13, 21, 7, 15, 1, 9, 17, 3, 11, 19, 5, 13, 21, 7, 15, 1, 9, 17, 3, 11, 19, 5, 13, 21, 7, 15, 1, 9, 17, 3, 11, 19, 5, 13, 21, 7, 15, 1, 9, 17, 3, 11, 19, 5, 13, 21, 7, 15, 1, 9, 17, 3, 11, 19, 5, 13, 21
OFFSET
1,2
COMMENTS
Cyclic with period 11. - Nathaniel Johnston, May 08 2011
REFERENCES
Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 62.
FORMULA
G.f.: x*(15*x^10 +7*x^9 +21*x^8 +13*x^7 +5*x^6 +19*x^5 +11*x^4 +3*x^3 +17*x^2 +9*x +1) / (1-x^11). - Colin Barker, Sep 12 2014
MATHEMATICA
NestList[Mod[#+8, 22]&, 1, 80] (* Harvey P. Dale, Jul 22 2013 *)
Rest[CoefficientList[Series[x*(15*x^10 + 7*x^9 + 21*x^8 + 13*x^7 + 5*x^6 + 19*x^5 + 11*x^4 + 3*x^3 + 17*x^2 + 9*x + 1)/(1 - x^11), {x, 0, 50}], x]] (* G. C. Greubel, Dec 30 2017 *)
PROG
(PARI) Vec(-x*(15*x^10 +7*x^9 +21*x^8 +13*x^7 +5*x^6 +19*x^5 +11*x^4 +3*x^3 +17*x^2 +9*x +1)/(x^11 -1) + O(x^100)) \\ Colin Barker, Sep 12 2014
CROSSREFS
Cf. A190322.
Sequence in context: A329964 A050802 A264519 * A190322 A184938 A103707
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Apr 20 2008
STATUS
approved