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Search: id:A104034
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| A104034 |
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Years between occurrences of Easter on the 25-th of the month in the Gregorian calendar. |
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+0
2
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| 3, 8, 57, 3, 8, 141, 3, 8, 49, 8, 84, 3, 8, 57, 84, 3, 8, 57, 3, 8, 57, 3, 8, 73, 3, 8, 73, 68, 11, 3, 8, 46, 3, 8, 141, 3, 8, 84, 3, 8, 46, 11, 3, 8, 49, 8, 73, 11, 3, 54, 3, 8, 84, 3, 8, 46, 3, 8, 84, 68, 3, 8, 46, 11, 3, 8, 73, 3, 8, 141, 11, 3, 8, 46, 3, 8, 57, 84, 3, 8, 84, 3, 8, 46, 11
(list; graph; listen)
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OFFSET
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1583,1
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COMMENT
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Easter was celebrated on the 25-th in 1742. It was not celebrated on the 25-th again until 1883, 141 years later.
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LINKS
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Author?, Calculation of Easter.
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FORMULA
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The formula is based on the algorithm of Oudin (1940) taken from the link.
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PROGRAM
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(PARI) edate(yr1, yr2, day) = { local(flag=1, d, y, y2, ct, dt); for(d=day, day, ct=0; for(y=yr1, yr2, dt=oudin(y); if(eval(mid(dt, 4, 2))==d, if(flag, y2=y; flag=0); ct++; print1(y-y2", "); if(y2<>y, y2=y); ); ); \ print(d", "ct); ) } oudin(y) = \This is based on the algorithm of Oudin (1940) { local(c, n, k, i1, i2, i3, a1, a2, m, d, l, dt, dat=""); c=floor(y/100); n=y-19*floor(y/19); k=floor((c-17)/25); i1=c-floor(c/4)-floor((c-k)/3)+19*n+15; i2=i1-30*floor(i1/30); i3=i2-floor(i2/28)*(1-floor(i2/28)*floor(29/(i2+1))*floor((21-n)/11)); a1=y+floor(y/4)+i3+2-c+floor(c/4); a2=a1-7*floor(a1/7); l=i3-a2; m=3+floor((l+40)/44); d=l+28-31*floor(m/4); dat = concat(dat, right(Str(m+100), 2)); dat = concat(dat, " "); dat = concat(dat, right(Str(d+100), 2)); dat = concat(dat, " "); dat = concat(dat, Str(y)); return(dat); }
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CROSSREFS
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Adjacent sequences: A104031 A104032 A104033 this_sequence A104035 A104036 A104037
Sequence in context: A026088 A121567 A101361 this_sequence A000825 A132517 A027262
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KEYWORD
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nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Mar 31 2005
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