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 A113515 If the name of the n-th Pope is Pope XXX the k-th, then the n-th term is k. 2
 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 2, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 3, 4, 1, 5, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 6, 7, 1, 1, 2, 3, 1, 2, 3, 1, 4, 1, 3, 5, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,24 COMMENTS The apparent inconsistency that a(n) has its second "3" before its second "2" is due to the ambiguous nomenclature of Pope(48) = "St. Felix III (II)" [A.D. 483-492], Pope(54) = "St. Felix IV (III)" [A.D. 526-530], et cetera, as well as Pope(77) = "Adeodatus (II)" [A.D. 672-676]. Pope(140) = "Sylvester II" [999-1003], also known as Gerbert, was the greatest mathematician among all popes [see D.E. Smith]. Note also that the generally superb Catholic Encyclopedia differs with independent sources on matters such as periods of time with no pope and periods with two or even three simultaneous popes. - Jonathan Vos Post, Jan 14 2006 REFERENCES D. E. Smith, History of mathematics - Vol. 1: General survey of the history of elementary mathematics (Boston, 1923), pp. 195-196. LINKS N. J. A. Sloane, Table of n, a(n) for n = 1..266 Catholic Encyclopedia, List of Popes Kevan Choset, in The Volokh Conspiracy, A puzzle J. V. Post, Timeline 11th Century. EXAMPLE In Jan 2006 the current Pope, the 266th (according to the standard enumeration), is Benedict XVI, so a(266) = 16. CROSSREFS Cf. A106806. Sequence in context: A087102 A194309 A318829 * A103754 A058665 A327103 Adjacent sequences:  A113512 A113513 A113514 * A113516 A113517 A113518 KEYWORD nonn,fini AUTHOR N. J. A. Sloane, Jan 13 2006. This version of the sequence originated in Kevan Choset's posting of Jan 12 2006 (see link). STATUS approved

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Last modified April 19 09:12 EDT 2021. Contains 343110 sequences. (Running on oeis4.)