

A119945


Sum of numerical values of letters in German names of the nonnegative numbers.


4



59, 47, 63, 36, 54, 52, 54, 54, 32, 54, 53, 23, 87, 89, 107, 105, 107, 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
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,1


COMMENTS

Umlaute are taken as "ae" (not appearing here), "oe", "ue" and "sz" (sharp s) (like 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 Umlaute (i.e., take "a" for "ä" etc), or, more inline 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 ligature of "∫s"="ss").  M. F. Hasler, Jun 23 2013


REFERENCES

Christian Reder, Wörter und Zahlen, Springer Verlag, Komet, Wien, 2000, p. 337.


LINKS

Table of n, a(n) for n=0..45.
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.


CROSSREFS

Cf. A073327 (English version, offset 1). According to reference only 251, ``twohundredandfiftyone'' satisfies A073327(n)=n.
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


STATUS

approved



