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A224938 Non-leap years beginning and ending on Sunday. 0
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

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 *)

CROSSREFS

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 February 27 07:53 EST 2021. Contains 341649 sequences. (Running on oeis4.)