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 A057360 a(n) = floor(3*n/8). 15
 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 18, 18, 18, 19, 19, 19, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 27, 27, 27, 28, 28, 28 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 COMMENTS The cyclic pattern (and numerator of the g.f.) is computed using Euclid's algorithm for GCD. REFERENCES N. Dershowitz and E. M. Reingold, Calendrical Calculations, Cambridge University Press, 1997. R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison-Wesley, NY, 1994. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..10000 N. Dershowitz and E. M. Reingold, Calendrical Calculations Web Site Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,1,-1). FORMULA G.f.: x^3*(1+x^3+x^5) / ( (1+x)*(x^2+1)*(x^4+1)*(x-1)^2 ). From Wesley Ivan Hurt, May 15 2015: (Start) a(n) = a(n-1)+a(n-8)-a(n-9). a(n) = A132292(A008585(n)), n>0. a(n) = A002265(A032766(n)). (End) MAPLE A057360:=n->floor(3*n/8): seq(A057360(n), n=0..100); # Wesley Ivan Hurt, May 15 2015 MATHEMATICA Floor[3 Range[0, 100]/8] (* Wesley Ivan Hurt, May 15 2015 *) PROG (MAGMA) [Floor(3*n/8): n in [0..80]]; // Vincenzo Librandi, Jul 07 2011 (PARI) a(n)=3*n>>3 \\ Charles R Greathouse IV, Jul 07 2011 CROSSREFS Floors of other ratios: A004526, A002264, A002265, A004523, A057353, A057354, A057355, A057356, A057357, A057358, A057359, A057360, A057361, A057362, A057363, A057364, A057365, A057366, A057367. Sequence in context: A053620 A283302 A225593 * A057364 A060144 A107347 Adjacent sequences:  A057357 A057358 A057359 * A057361 A057362 A057363 KEYWORD nonn,easy AUTHOR EXTENSIONS Numerator of g.f. corrected by R. J. Mathar, Feb 20 2011 STATUS approved

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Last modified November 21 09:18 EST 2018. Contains 317433 sequences. (Running on oeis4.)