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A231014 Number of months after which it is not possible to have the same calendar for the entire month with the same number of days, in the Julian calendar. 24
1, 2, 4, 5, 7, 10, 11, 12, 13, 16, 19, 21, 24, 25, 27, 28, 30, 33, 36, 39, 41, 42, 44, 45, 47, 48, 49, 50, 51, 53, 56, 58, 59, 61, 62, 65, 66, 67, 70, 71, 73, 74, 76, 79, 82, 83, 84, 85, 87, 88, 90, 91, 93, 96, 97, 99, 100, 102, 104, 105, 107, 108, 111, 113, 116, 119, 120 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
In the Julian calendar, a year is a leap year if and only if it is a multiple of 4 and all century years are leap years.
Assuming this fact, this sequence is periodic with a period of 336.
This is the complement of A231011.
LINKS
Time And Date, Repeating Months
Time And Date, Julian Calendar
PROG
(PARI) m=[0, 3, 3, 6, 1, 4, 6, 2, 5, 0, 3, 5]; n=[31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31]; y=vector(336, i, (m[((i-1)%12)+1]+((5*((i-1)\48)+(((i-1)\12)%4)-!((i-1)%48)-!((i-2)%48))))%7); x=vector(336, i, n[((i-1)%12)+1]+!((i-2)%48)); for(p=0, 336, j=0; for(q=0, 336, if(y[(q%336)+1]==y[((q+p)%336)+1]&&x[(q%336)+1]==x[((q+p)%336)+1], j=1; break)); if(j==0, print1(p", ")))
CROSSREFS
Cf. A231009 (Gregorian calendar).
Sequence in context: A056908 A296344 A060565 * A231009 A133254 A080725
KEYWORD
nonn,easy
AUTHOR
Aswini Vaidyanathan, Nov 02 2013
STATUS
approved

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)