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A224940 Non-leap years beginning and ending on Tuesday. 6
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
Time and Date, The Gregorian calendar
Time and Date, 2013
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, 0, 1, -1).
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 *)
Select[Range[1583, 2500], !LeapYearQ[{#}]&&DayName[{#, 1, 1}]==DayName[{#, 12, 31}]==Tuesday&](* Ray Chandler, Jul 26 2023, Version 10, after _Harvey P.Dale_ at A224942 *)
CROSSREFS
Sequence in context: A159211 A235844 A277766 * A224941 A213116 A224942
KEYWORD
nonn
AUTHOR
Aswini Vaidyanathan, Apr 21 2013
STATUS
approved

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Last modified June 24 16:47 EDT 2024. Contains 373680 sequences. (Running on oeis4.)