The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A224938 Non-leap years beginning and ending on Sunday. 6
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
Time and Date, The Gregorian calendar
Time and Date, 2006
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] == Sunday && 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}]==Sunday&](* Ray Chandler, Jul 26 2023, Version 10, after _Harvey P.Dale_ at A224942 *)
CROSSREFS
Sequence in context: A224950 A233378 A083631 * A083632 A224939 A049520
KEYWORD
nonn
AUTHOR
Aswini Vaidyanathan, Apr 21 2013
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 19 14:45 EDT 2024. Contains 372698 sequences. (Running on oeis4.)