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 A165662 Period 5: repeat 4,4,8,6,8. 1
 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8, 4, 4, 8, 6, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This is also the post-period decimal digit of ((n+2)^2-2)/5. Serves also as the decimal expansion of 1495600/33333 and as the continued fraction representation of (33397+sqrt(12952802))/1649. LINKS Table of n, a(n) for n=0..89. Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1). FORMULA a(n) = (2*n^2 + 8*n + 4) mod 10. From Wesley Ivan Hurt, Sep 06 2014: (Start) G.f.: 2*(2 + 2*x + 4*x^2 + 3*x^3 + 4*x^4)/(1-x^5). [corrected by Georg Fischer, May 11 2019] Recurrence: a(n) = a(n-5). a(n) = (2*A008865(n+1)) mod 10. a(n) = (-A147973(n+4)) mod 10. a(n+1) = 2*A053796(n) + 4. (End) MAPLE A165662:=n->2*n^2+8*n+4 mod 10: seq(A165662(n), n=0..100); # Wesley Ivan Hurt, Sep 06 2014 MATHEMATICA Table[Mod[2 n^2 + 8 n + 4, 10], {n, 0, 100}] (* Wesley Ivan Hurt, Sep 06 2014 *) CoefficientList[Series[2 (2 + 2 x + 4 x^2 + 3 x^3 + 4 x^4)/(1 - x^5), {x, 0, 30}], x] (* Wesley Ivan Hurt, Sep 06 2014 *) PROG (Magma) [(2*n^2+8*n+4) mod 10 : n in [0..100]]; // Wesley Ivan Hurt, Sep 06 2014 (PARI) a(n)=[4, 4, 8, 6, 8][n%5+1] \\ Edward Jiang, Sep 06 2014 CROSSREFS Cf. A008865, A053796, A147973. Sequence in context: A254267 A028266 A275982 * A110648 A198936 A289091 Adjacent sequences: A165659 A165660 A165661 * A165663 A165664 A165665 KEYWORD nonn,easy,less AUTHOR Vincenzo Librandi, Sep 24 2009 EXTENSIONS Definition simplified, offset corrected by R. J. Mathar, Sep 25 2009 Name and offset changed by Wesley Ivan Hurt, Sep 06 2014 STATUS approved

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Last modified May 28 04:02 EDT 2024. Contains 372900 sequences. (Running on oeis4.)