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A057349
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Leap years in the Hebrew Calendar starting in year 1 (3761 BCE). The leap year has an extra -month-.
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3
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3, 6, 8, 11, 14, 17, 19, 22, 25, 27, 30, 33, 36, 38, 41, 44, 46, 49, 52, 55, 57, 60, 63, 65, 68, 71, 74, 76, 79, 82, 84, 87, 90, 93, 95, 98, 101, 103, 106, 109, 112, 114, 117, 120, 122, 125, 128, 131, 133, 136, 139, 141, 144, 147, 150, 152, 155, 158, 160, 163, 166
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| A Hebrew year approximates a solar year with 12 and 7/19 lunar months (or 19 years with 235 months, the 19-year Metonic cycle)
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REFERENCES
| N. Dershowitz and E. M. Reingold, Calendrical Calculations, Cambridge University Press, 1997.
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LINKS
| N. Dershowitz and E. M. Reingold, Calendrical Calculations
Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,0,0,0,1,-1).
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FORMULA
| a(n) = floor((19n + 5)/7), ((1 + 7*n) mod 19) < 7
Is a(n) = A083033(n-1) + n + 2? - Ralf Stephan, Feb 24 2004
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PROG
| (PARI) a(n)=(19*n+5)\7 \\ Charles R Greathouse IV, Dec 07 2011
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CROSSREFS
| Cf. A008685, Hebrew month pattern A057350, A057347.
Sequence in context: A026352 A198084 A047399 * A087068 A022851 A050503
Adjacent sequences: A057346 A057347 A057348 * A057350 A057351 A057352
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KEYWORD
| nonn,easy
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AUTHOR
| Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)
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