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A224939 Non-leap years beginning and ending on Monday. 0
1590, 1601, 1607, 1618, 1629, 1635, 1646, 1657, 1663, 1674, 1685, 1691, 1703, 1714, 1725, 1731, 1742, 1753, 1759, 1770, 1781, 1787, 1798, 1810, 1821, 1827, 1838, 1849, 1855, 1866, 1877, 1883, 1894, 1900, 1906, 1917, 1923, 1934, 1945, 1951, 1962, 1973, 1979, 1990 (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: April and July.

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

LINKS

Table of n, a(n) for n=1..44.

Time and Date, The Gregorian calendar

Time and Date, 2007

Wikipedia, Gregorian calendar

MATHEMATICA

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

CROSSREFS

Sequence in context: A083631 A224938 A083632 * A049520 A252085 A224948

Adjacent sequences:  A224936 A224937 A224938 * A224940 A224941 A224942

KEYWORD

nonn

AUTHOR

Aswini Vaidyanathan, Apr 21 2013

STATUS

approved

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Last modified May 9 21:52 EDT 2021. Contains 343746 sequences. (Running on oeis4.)