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 A224944 Non-leap years beginning and ending on Saturday. 6
 1583, 1594, 1605, 1611, 1622, 1633, 1639, 1650, 1661, 1667, 1678, 1689, 1695, 1701, 1707, 1718, 1729, 1735, 1746, 1757, 1763, 1774, 1785, 1791, 1803, 1814, 1825, 1831, 1842, 1853, 1859, 1870, 1881, 1887, 1898, 1910, 1921, 1927, 1938, 1949, 1955, 1966, 1977, 1983, 1994 (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: May. 365 day ordinary year: 52 Sundays, 52 Mondays, 52 Tuesdays, 52 Wednesdays, 52 Thursdays, 52 Fridays, 53 Saturdays. LINKS Table of n, a(n) for n=1..45. Time and Date, The Gregorian calendar Time and Date, 2011 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] == Saturday && 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}]==Saturday&] (* Harvey P. Dale, Aug 14 2022 *) CROSSREFS Cf. A224938, A224939, A224940, A224941, A224942, A224943. Sequence in context: A216064 A182409 A350027 * A222164 A242539 A224945 Adjacent sequences: A224941 A224942 A224943 * A224945 A224946 A224947 KEYWORD nonn AUTHOR Aswini Vaidyanathan, Apr 21 2013 STATUS approved

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Last modified June 24 16:36 EDT 2024. Contains 373680 sequences. (Running on oeis4.)