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A224944 Non-leap years beginning and ending on Saturday. 0
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

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 *)

CROSSREFS

Sequence in context: A023082 A216064 A182409 * 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 August 20 03:34 EDT 2017. Contains 290823 sequences.