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A224940 Non-leap years beginning and ending on Tuesday. 0
1585, 1591, 1602, 1613, 1619, 1630, 1641, 1647, 1658, 1669, 1675, 1686, 1697, 1709, 1715, 1726, 1737, 1743, 1754, 1765, 1771, 1782, 1793, 1799, 1805, 1811, 1822, 1833, 1839, 1850, 1861, 1867, 1878, 1889, 1895, 1901, 1907, 1918, 1929, 1935, 1946, 1957, 1963, 1974, 1985, 1991 (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.

44 occurrences in 400 years.

Months having Friday the 13th: September and December.

365 day ordinary year: 52 Sundays, 52 Mondays, 53 Tuesdays, 52 Wednesdays, 52 Thursdays, 52 Fridays, 52 Saturdays.

LINKS

Table of n, a(n) for n=1..46.

Time and Date, The Gregorian calendar

Time and Date, 2013

Wikipedia, Gregorian calendar

MATHEMATICA

Select[Range[1583, 2600], DayOfWeek[{#, 1, 1}, Calendar -> Gregorian] == Tuesday && DaysBetween[{#, 1, 1}, {# + 1, 1, 1}, Calendar -> Gregorian] == 365 &, 50] (* T. D. Noe, Apr 22 2013 *)

CROSSREFS

Sequence in context: A159211 A235844 A277766 * A224941 A213116 A224942

Adjacent sequences:  A224937 A224938 A224939 * A224941 A224942 A224943

KEYWORD

nonn

AUTHOR

Aswini Vaidyanathan, Apr 21 2013

STATUS

approved

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Last modified April 22 06:48 EDT 2021. Contains 343161 sequences. (Running on oeis4.)