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0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 22, 22, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 27, 27, 27, 28, 28, 28, 29
(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
| N. Dershowitz and E. M. Reingold, Calendrical Calculations Web Site
Index entries for sequences related to linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1).
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FORMULA
| a(n)= +a(n-1) +a(n-21) -a(n-22).
G.f. x^3*(1+x)*(x^4-x^3+x^2-x+1)*(x^13+x^11+x^3+1) / ( (1+x+x^2)*(x^6+x^5+x^4+x^3+x^2+x+1)*(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1)*(x-1)^2 ). Numerator corrected by R. J. Mathar, Feb 20 2011
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MATHEMATICA
| Table[Floor[8 n/21], {n, 0, 80}] (* From Harvey P. Dale, June 14 2011 *)
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PROG
| (PARI) a(n)=8*n\21 \\ Charles R Greathouse IV, Jul 07 2011
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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: A084510 A053620 A057360 * A060144 A107347 A189717
Adjacent sequences: A057361 A057362 A057363 * A057365 A057366 A057367
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KEYWORD
| nonn,easy
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AUTHOR
| Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)
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