

A224939


Nonleap years beginning and ending on Monday.


6



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.
Noncentury 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

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, 1, 1).


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 *)
Select[Range[1583, 2500], !LeapYearQ[{#}]&&DayName[{#, 1, 1}]==DayName[{#, 12, 31}]==Monday&](* Ray Chandler, Jul 26 2023, Version 10, after _Harvey P.Dale_ at A224942 *)


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



