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 A036746 Numbers with "long" representations in Roman notation: given by last n letters from ...MMMDCCCLXXXVIII. 7
 1, 2, 3, 8, 18, 28, 38, 88, 188, 288, 388, 888, 1888, 2888, 3888 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Also: Least number using n symbols when written as Roman numeral, cf. A006968 and A061493. One could prefix a conventional a(0)=0. - M. F. Hasler, Jan 12 2015 LINKS Gerard Schildberger, The first 3999 numbers in Roman numerals. FORMULA a(n) = min{ k>0 | A006968(k)=n }. - M. F. Hasler, Jan 12 2015 MATHEMATICA (* assign the 3999 Roman numerals to the variable 'lst' so that lst = {I, II, III, ... MMMCMXCVII, MMMCMXCVIII, MMMCMXCIX}, e.g. using the link to Schildberger's file, then *) f[1] = 1; f[n_] := Block[{k = 2}, While[ StringLength@ SymbolName@ lst[[k]] != n, k++ ]; k]; Array[f, 15] (* Checked by Robert G. Wilson v, Aug 13 2008; edited by M. F. Hasler, Jan 12 2015 *) PROG (Haskell) import Data.List (inits, elemIndex) import Data.Maybe (mapMaybe) a036746 n = a036746_list !! (n-1) a036746_list = map (+ 1) \$ mapMaybe (`elemIndex` a061493_list)    (map (read . reverse) \$ tail \$ inits \$ reverse \$ show \$ a061493 3888) -- Reinhard Zumkeller, Apr 14 2013 (PARI) A036746(n)=(n%4+8/9)\.1^(n\4) \\ M. F. Hasler, Jan 12 2015 CROSSREFS Cf. A061493, A006968, A003587. Sequence in context: A290878 A096254 A091765 * A232165 A129955 A034066 Adjacent sequences:  A036743 A036744 A036745 * A036747 A036748 A036749 KEYWORD nonn,base AUTHOR EXTENSIONS Checked by Robert G. Wilson v, Aug 13 2008 Edited by M. F. Hasler, Jan 12 2015 STATUS approved

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Last modified September 28 22:03 EDT 2020. Contains 337417 sequences. (Running on oeis4.)