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A057347 Leap years in the Islamic calendar starting year 1 AH (Anno Hegirae) = 622 CE (Common Era or AD). There are 11 leap years in a 30 year cycle. +0
4
2, 5, 7, 10, 13, 16, 18, 21, 24, 26, 29, 32, 35, 37, 40, 43, 46, 48, 51, 54, 56, 59, 62, 65, 67, 70, 73, 76, 78, 81, 84, 86, 89, 92, 95, 97, 100, 103, 106, 108, 111, 114, 116, 119, 122, 125, 127, 130, 133, 136, 138, 141, 144, 146, 149, 152, 155, 157, 160, 163, 166 (list; graph; listen)
OFFSET

1,1

COMMENT

An Islamic year approximates 12 lunar months with 354 11/30 days (or 30 years with 10631 days)

REFERENCES

N. Dershowitz and E. M. Reingold, Calendrical Calculations, Cambridge University Press, 1997.

LINKS

N. Dershowitz and E. M. Reingold, Calendrical Calculations Web Site

FORMULA

a(n) = floor((30n - 4)/11), ((14 + 11*n) mod 30) < 11

CROSSREFS

A008685, Islamic month pattern A057348, A057349.

Sequence in context: A038127 A140398 A081838 this_sequence A067008 A094065 A073593

Adjacent sequences: A057344 A057345 A057346 this_sequence A057348 A057349 A057350

KEYWORD

nonn,easy

AUTHOR

Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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