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 A104034 Years between occurrences of Easter on the 25th of the month in the Gregorian calendar. 2
 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; refs; listen; history; text; internal format)
 OFFSET 1583,1 COMMENTS Easter was celebrated on the 25th in 1742. It was not celebrated on the 25th again until 1883, 141 years later. LINKS Holger Oertel, Calculation of Easter. [Via Wayback Machine] FORMULA The formula is based on the algorithm of Oudin (1940) taken from the link. PROG (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); } CROSSREFS Sequence in context: A222788 A308572 A101361 * A000825 A273433 A132517 Adjacent sequences:  A104031 A104032 A104033 * A104035 A104036 A104037 KEYWORD nonn AUTHOR Cino Hilliard, Mar 31 2005 STATUS approved

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Last modified June 29 07:33 EDT 2022. Contains 354910 sequences. (Running on oeis4.)