A231008 -id:A231008 - cp's OEIS frontend

A231013 Number of months after which it is not possible to have a date falling on the same day of the week, in the Julian calendar.

2, 4, 5, 7, 10, 12, 13, 16, 21, 24, 25, 30, 33, 36, 39, 42, 44, 47, 48, 50, 51, 53, 56, 59, 62, 65, 67, 70, 76, 79, 82, 84, 85, 88, 90, 93, 96, 97, 99, 102, 105, 107, 108, 111, 116, 119, 120, 122, 125, 128, 134, 136, 137, 139, 142, 144, 145, 148, 151, 153, 154, 156, 157, 162

Offset: 1

Aswini Vaidyanathan, Nov 02 2013

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 A231010.

Time And Date, Repeating Months
Time And Date, Julian Calendar

Cf. A230995-A231014.

Cf. A231008 (Gregorian calendar).

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],j=1;break));if(j==0,print1(p", ")))

cp's OEIS Frontend

A231013 Number of months after which it is not possible to have a date falling on the same day of the week, in the Julian calendar.

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