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A224939
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Non-leap years beginning and ending on Monday.
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0
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1590, 1601, 1607, 1618, 1629, 1635, 1646, 1657, 1663, 1674, 1685, 1691, 1703, 1714, 1725, 1731, 1742, 1753, 1759, 1770, 1781, 1787, 1798, 1810, 1821, 1827, 1838, 1849, 1855, 1866, 1877, 1883, 1894, 1900, 1906, 1917, 1923, 1934, 1945, 1951, 1962, 1973, 1979, 1990
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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Gregorian calendar repeats after every 400 years because number of days in 400 years is 146097 which is a multiple of 7.
Non-century years are leap years if and only if they are multiples of 4 while century years are leap years if and only if they are multiples of 400.
43 occurrences in 400 years.
Months having Friday the 13th: April and July.
365 day ordinary year: 52 Sundays, 53 Mondays, 52 Tuesdays, 52 Wednesdays, 52 Thursdays, 52 Fridays, 52 Saturdays.
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LINKS
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Table of n, a(n) for n=1..44.
Time and Date, The Gregorian calendar
Time and Date, 2007
Wikipedia, Gregorian calendar
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MATHEMATICA
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Select[Range[1583, 2600], DayOfWeek[{#, 1, 1}, Calendar -> Gregorian] == Monday && DaysBetween[{#, 1, 1}, {# + 1, 1, 1}, Calendar -> Gregorian] == 365 &, 50] (* T. D. Noe, Apr 22 2013 *)
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CROSSREFS
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Sequence in context: A083631 A224938 A083632 * A049520 A252085 A224948
Adjacent sequences: A224936 A224937 A224938 * A224940 A224941 A224942
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KEYWORD
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nonn
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AUTHOR
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Aswini Vaidyanathan, Apr 21 2013
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STATUS
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approved
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