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 A057367 a(n) = floor(11*n/30). 16
 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 26, 26, 26, 27, 27, 27, 28 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 COMMENTS The cyclic pattern (and numerator of the gf) 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 G. C. Greubel, Table of n, a(n) for n = 0..5000 N. Dershowitz and E. M. Reingold, Calendrical Calculations Web Site Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1). FORMULA a(n) = a(n-1) + a(n-30) - a(n-31). G.f.: x^3*(1 + x^3 + x^6 + x^8 + x^11 + x^14 + x^17 + x^19 + x^22 + x^25 + x^27)/( (1+x)*(1+x+x^2)*(x^2-x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x^8 - x^7 + x^5 - x^4 + x^3 - x + 1)*(x^8+x^7-x^5-x^4-x^3+x+1)*(x-1)^2 ). [Corrected by R. J. Mathar, Feb 20 2011] MAPLE A057367:=n->floor(11*n/30); seq(A057367(k), k=0..100); # Wesley Ivan Hurt, Oct 29 2013 MATHEMATICA Table[Floor[11n/30], {n, 0, 100}] (* Wesley Ivan Hurt, Oct 29 2013 *) PROG (PARI) a(n)=11*n\30 \\ Charles R Greathouse IV, Sep 02 2015 (MAGMA) [Floor(11*n/30): n in [0..50]]; // G. C. Greubel, Nov 03 2017 CROSSREFS Similar pattern in Islamic leap years A057347. 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: A211339 A087739 A127763 * A032634 A057366 A189663 Adjacent sequences:  A057364 A057365 A057366 * A057368 A057369 A057370 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified November 14 16:58 EST 2018. Contains 317210 sequences. (Running on oeis4.)