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 A224938 Non-leap years beginning and ending on Sunday. 6
 1589, 1595, 1606, 1617, 1623, 1634, 1645, 1651, 1662, 1673, 1679, 1690, 1702, 1713, 1719, 1730, 1741, 1747, 1758, 1769, 1775, 1786, 1797, 1809, 1815, 1826, 1837, 1843, 1854, 1865, 1871, 1882, 1893, 1899, 1905, 1911, 1922, 1933, 1939, 1950, 1961, 1967, 1978, 1989, 1995 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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: January and October. 365 day ordinary year: 53 Sundays, 52 Mondays, 52 Tuesdays, 52 Wednesdays, 52 Thursdays, 52 Fridays, 52 Saturdays. LINKS Table of n, a(n) for n=1..45. Time and Date, The Gregorian calendar Time and Date, 2006 Wikipedia, Gregorian calendar Index entries for sequences related to calendars Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1). MATHEMATICA Select[Range[1583, 2600], DayOfWeek[{#, 1, 1}, Calendar -> Gregorian] == Sunday && DaysBetween[{#, 1, 1}, {# + 1, 1, 1}, Calendar -> Gregorian] == 365 &, 50] (* T. D. Noe, Apr 22 2013 *) Select[Range[1583, 2500], !LeapYearQ[{#}]&&DayName[{#, 1, 1}]==DayName[{#, 12, 31}]==Sunday&](* Ray Chandler, Jul 26 2023, Version 10, after _Harvey P.Dale_ at A224942 *) CROSSREFS Cf. A224939, A224940, A224941, A224942, A224943, A224944. Sequence in context: A224950 A233378 A083631 * A083632 A224939 A049520 Adjacent sequences: A224935 A224936 A224937 * A224939 A224940 A224941 KEYWORD nonn AUTHOR Aswini Vaidyanathan, Apr 21 2013 STATUS approved

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Last modified May 19 14:45 EDT 2024. Contains 372698 sequences. (Running on oeis4.)