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Search: id:A097105
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| A097105 |
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Gregorian years containing "blue" Islamic New Year Days. The boundary of a calendrical period is hereby called "blue" w.r.t. a similarly named period in another calendar when the shorter one does not contain the boundaries of the longer one. Gregorian calendar prior to 1582 is extrapolated according to the calculator in References. |
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+0
1
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| 640, 672, 705, 738, 770, 803, 835, 868, 900, 933, 966, 998, 1031, 1063, 1096, 1129, 1161, 1194, 1226, 1259, 1291, 1324, 1357, 1389, 1422, 1454, 1487, 1520, 1552, 1585, 1617, 1650, 1682, 1715, 1748, 1780, 1813, 1845, 1878, 1911, 1943, 1976, 2008, 2041
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OFFSET
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1,1
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COMMENT
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The ratio of Gregorian to Islamic Year is 365.2425/354.36666... = 438291/425240. The interesting approximating continuous fractions are 403/391, 638/619, 1041/1010, and a very long sequence of (1041+403*n)/(1010+391*n), ending with 7489/7266, so the 403/391 pattern will remain for thousands of years.
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LINKS
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Calendar Converter
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EXAMPLE
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1396-1-1 A.H. = 1976-1-3 C.E.
1397-1-1 A.H. = 1976-12-22 C.E. therefore 1976 is listed.
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CROSSREFS
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Adjacent sequences: A097102 A097103 A097104 this_sequence A097106 A097107 A097108
Sequence in context: A061623 A043483 A027885 this_sequence A105130 A117129 A106488
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KEYWORD
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nonn
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AUTHOR
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Leonid Broukhis (leob(AT)mailcom.com), Sep 15 2004
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