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 A236250 Period of the n-th convergent to the continued fraction expansion of Pi. 1
 1, 6, 13, 112, 51, 24, 15088, 12284, 88460, 1204, 459, 31824, 93210, 1864254, 531648, 456036, 8299090, 28574910, 1813560, 32552820, 33166008, 133585180, 2503410, 214098720, 3183870690, 7411133309730, 4852769490690, 2294509753536, 175964053944, 3336533898768 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..30. FORMULA a(n) = A007732(A002486(n+2)). - Michel Marcus, Jan 21 2014 EXAMPLE The 2nd convergent is 22/7 = 3.142857 142857 ..., whose period is 6, so a(2) = 6. The 3rd convergent is 333/106 = 3.1 4150943396226 4150943396226 ..., whose period is 13, so a(3) = 13. PROG (Sage) st_clenov = 30 def A236250(n) : vu = continued_fraction_list(pi, nterms=st_clenov); p = [] for i in (0..n) : p.append(convergents(vu)[i].period()) return(p) A236250(st_clenov-1); CROSSREFS Cf. A001203, A007732, A084407. Sequence in context: A042641 A292121 A364199 * A336046 A368633 A042285 Adjacent sequences: A236247 A236248 A236249 * A236251 A236252 A236253 KEYWORD nonn,base AUTHOR Jani Melik, Jan 21 2014 STATUS approved

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Last modified September 19 13:45 EDT 2024. Contains 376012 sequences. (Running on oeis4.)