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 A119945 Sum of numerical values of letters in German names of the nonnegative numbers. 7
 59, 47, 63, 36, 54, 52, 54, 54, 32, 54, 53, 23, 87, 89, 107, 105, 88, 88, 85, 107, 106, 173, 208, 181, 199, 197, 199, 199, 177, 199, 90, 157, 192, 165, 183, 181, 183, 183, 161, 183, 96, 163, 198, 171, 189, 187, 189, 189, 167, 189, 94, 161, 196, 169, 187, 185, 187, 187, 165 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Letters with umlauts are interpreted respectively as "ae" (which does not appear in this entry), "oe", "ue", and "sz" (sharp s) (as in the German name of 30 = "dreißig" -> "dreissig") as "ss" (not "sz"). According to the Reder reference only "zweihundertfuenf", 205 and "zweihundertsieben", 207, satisfy a(n)=n. This sequence is ambiguous for numbers above 100 because one can use, for instance, for 101 "hundertundeins" or "hunderteins. To avoid such ambiguities one should always stick to the shorter version. An alternate version of this sequence could ignore umlauts (i.e., take "a" for "ä" etc), or, more in-line with the German alphabet as it is usually listed in textbooks and reference works, taken as ä=27, ö=28, ü=29 (and then maybe ß=30, which could nonetheless remain considered as a ligature of "∫s"="ss"). - M. F. Hasler, Jun 23 2013 It appears that there is no canonical version of this sequence, because of the lack of agreement even on the number of letters in the German alphabet. - N. J. A. Sloane, Jun 11 2021 REFERENCES Christian Reder, Wörter und Zahlen, Springer Verlag, Komet, Wien, 2000, p. 337. LINKS Table of n, a(n) for n=0..58. Index entries for sequences related to German names of numbers EXAMPLE "Null" for 0 in German has numerical values (a=1, b=2, ..., z=26) [14, 21, 12, 12] which sums up to a(0)=59. The numerical values for "zweihundertfuenf" are [26, 23, 5, 9, 8, 21, 14, 4, 5, 18, 20, 6, 21, 5, 14, 6] with sum 205. The numerical values for "zweihundertsieben" are [26, 23, 5, 9, 8, 21, 14, 4, 5, 18, 20, 19, 9, 5, 2, 5, 14] with sum 207. From Omar E. Pol, Jun 15 2021: (Start) ------------------------------------------------------------- n Name Calculation a(n) ------------------------------------------------------------- 0 Null 14 + 21 + 12 + 12 = 59 1 Eins 5 + 9 + 14 + 19 = 47 2 Zwei 26 + 23 + 5 + 9 = 63 3 Drei 4 + 18 + 5 + 9 = 36 4 Vier 22 + 9 + 5 + 18 = 54 5 Fünf --> Fuenf 6 + 21 + 5 + 14 + 6 = 52 6 Sechs 19 + 5 + 3 + 8 + 19 = 54 7 Sieben 19 + 9 + 5 + 2 + 5 + 14 = 54 8 Acht 1 + 3 + 8 + 20 = 32 9 Neun 14 + 5 + 21 + 14 = 54 10 Zehn 26 + 5 + 8 + 14 = 53 11 Elf 5 + 12 + 6 = 23 12 Zwölf --> Zwoelf 26 + 23 + 15 + 5 + 12 + 6 = 87 ... (End) a(16) = 88 because "sechzehn" => [19, 5, 3, 8, 26, 5, 8, 14] with sum 88, as for a(17) with "siebzehn" => [19, 9, 5, 2, 26, 5, 8, 14]. - M. F. Hasler, Apr 08 2023 PROG (PARI) From M. F. Hasler, Apr 08 2023: (Start) G(n, eins="eins")={my(s(n, p, z, e="ein")=n=divrem(n, p); if(n[2], Str(G(n[1]*p), G(n[2])), Str(G(n[1], e), z))); if(n<20, ["null", eins, "zwei", "drei", "vier", "fuenf", "sechs", "sieben", "acht", "neun", "zehn", "elf", "zwoelf", "dreizehn", "vierzehn", "fuenfzehn", "sechzehn", "siebzehn", "achtzehn", "neunzehn"][n+1], n<100 && n%10, Str(G(n%10, "ein"), "und", G(n\10*10)), n<100, ["zwanzig", "dreissig", "vierzig", "fuenfzig", "sechzig", "siebzig", "achtzig", "neunzig"][n\10-1], n<1000, s(n, 100, "hundert"), n<10^6, s(n, 1000, "tausend"), n<10^9, s(n, 10^6, if(n\10^6>1, " Millionen ", "e Million ")), n<10^12, s(n, 10^9, if(n\10^9>1, " Milliarden ", "e Milliarde ")))} \\ extension to Billion, Billiarde, Trillion, Trilliarde, ... is obvious. See A007208 for a variant. apply( {A119945(n)=vecsum([t%32|t<-Vecsmall(G(n)), t>64])}, [0..99]) \\ (End) CROSSREFS For analogs in other languages see A073327 (U.S. English), A169639 (French), A161406 (Spanish). Sequence in context: A152214 A033379 A122252 * A054379 A278372 A273183 Adjacent sequences: A119942 A119943 A119944 * A119946 A119947 A119948 KEYWORD nonn,easy,word AUTHOR Wolfdieter Lang, Jul 20 2006 EXTENSIONS Edited by N. J. A. Sloane, Jun 10 2021 Corrected and extended by M. F. Hasler, Apr 08 2023 STATUS approved

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Last modified June 4 02:25 EDT 2023. Contains 363118 sequences. (Running on oeis4.)