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A057365
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Floor(13n/21).
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15
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0, 0, 1, 1, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 9, 10, 11, 11, 12, 13, 13, 14, 14, 15, 16, 16, 17, 17, 18, 19, 19, 20, 21, 21, 22, 22, 23, 24, 24, 25, 26, 26, 27, 27, 28, 29, 29, 30, 30, 31, 32, 32, 33, 34, 34, 35, 35, 36, 37, 37, 38, 39, 39, 40, 40, 41, 42, 42, 43, 43, 44, 45
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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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
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FORMULA
| a(n)= +a(n-1) +a(n-21) -a(n-22).
G.f. x^2*(1+x^2+x^3+x^5+x^7+x^8+x^10+x^11+x^13+x^15+x^16+x^18+x^19) / ( (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 Feb 20 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: A073869 A060143 A005206 * A014245 A096386 A135671
Adjacent sequences: A057362 A057363 A057364 * A057366 A057367 A057368
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KEYWORD
| nonn,easy
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AUTHOR
| Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)
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