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A057367
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Floor(11*n/30).
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15
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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; internal format)
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OFFSET
| 0,7
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COMMENTS
| The cyclic pattern (and numerator of the gf) is computed using Euclid's algorithm for GCD.
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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.
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LINKS
| Index entries for sequences related to Beatty sequences
N. Dershowitz and E. M. Reingold, Calendrical Calculations Web Site
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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
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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: A085182 A087739 A127763 * A032634 A057366 A189663
Adjacent sequences: A057364 A057365 A057366 * A057368 A057369 A057370
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KEYWORD
| nonn,easy
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AUTHOR
| Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)
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