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A193879 Different leap years in the Gregorian and the revised Julian calendars 2
0, 2, 4, 6, 8, 11, 12, 15, 16, 28, 29, 32, 33, 36, 38, 40, 42, 44, 47, 48, 51, 52, 64, 65, 68, 69, 72, 74, 76, 78, 80, 83, 84, 87, 88, 100, 101, 104, 105, 108, 110, 112, 114, 116, 119, 120, 123, 124, 136, 137, 140, 141, 144, 146, 148, 150, 152, 155, 156, 159, 160 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Terms divided by 100, e.g., 28 indicates year 2800, which is a Gregorian leap year, but not a revised Julian leap year. Values below 28 are "proleptic" (only based on the formula).

LINKS

Table of n, a(n) for n=1..61.

M. Milankovitch, Das Ende des julianischen Kalenders und der neue Kalender der orientalischen Kirchen, Astronomische Nachrichten, volume 220 (1924), pages 379-384.

Claus T√łndering, Frequently Asked Questions about Calendars, Don't the Greeks do it differently?

Wikipedia, Revised Julian calendar

FORMULA

( N // 9 = 2 | N // 9 = 6 ) <> ( N // 4 = 0 )

EXAMPLE

28 mod 9 is not 2 or 6, but 28 mod 4 is 0: 2800 is a Gregorian leap year.

29 mod 9 is 2, but 29 mod 4 is not 0: 2900 is a revised Julian leap year.

CROSSREFS

A008586 enumerates "Gregorian leap centuries" (N // 4 = 0).

A193910 enumerates "revised Julian leap centuries".

Sequence in context: A073140 A256342 A171820 * A226722 A187414 A187348

Adjacent sequences:  A193876 A193877 A193878 * A193880 A193881 A193882

KEYWORD

nonn,easy

AUTHOR

Frank Ellermann, Aug 07 2011

STATUS

approved

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Last modified September 30 15:34 EDT 2022. Contains 357106 sequences. (Running on oeis4.)