Numerical values of Latin letters

[David Garber]

Dear Jonathan, 
 
I do not think you should put zero if the letters do not appear in the list. 
 
The reason that W,U,J do not appear in the list is because the original Latin includes 23 letters and these three letters were introduced only later, see Wikipedia: http://en.wikipedia.org/wiki/Latin_alphabet. Hence, W=U=V, and J=I.
 
Best, David. 
 
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David Garber
Department of Applied Mathematics
School of Sciences
Holon Institute of Technology
52 Golomb st.
PO Box 305
58102 Holon 
Israel
 
E-mail: garber at hit.ac.il <mailto:garber at hit.ac.il> 
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________________________________

From: Jonathan Post [mailto:jvospost3 at gmail.com]
Sent: Tue 20/11/2007 10:35
To: Maximilian Hasler
Cc: David Garber; Sequence Fans; jonathan post
Subject: Re: Numerical values of Latin letters



We can combine the seq that njas made from this, namely A132475, with
our other classic "word" sequence and get something which has many
(maybe too many) open questions leading to other seqs:

NEW SEQUENCE FROM Jonathan Vos Post

%I A000001
%S A000001 2341, 351, 0, 940, 0, 296, 81, 665, 1011, 431, 500.
%N A000001 Sum of the numerical equivalents for the 23 Latin letters,
 according to Tartaglia, of the letters in the English name of n,
 excluding spaces and hyphens.
%C A000001 Which are the fixed points n such that a(n) = n? Which n
 have prime a(n)? What are the equivalence classes of integers that have
 the same a(n)?  Which n divide a(n)? Which n have a(n) that can be read
 as binary, as with a(8) = 1011? What is the sequence of n such that a(n)
 = 0 (i.e. the English name on n contains a J, U, or W)?
%e A000001 a(0) = A132475(ZERO) =
 A132475(Z)+A132475(E)+A132475(R)+A132475(O) = 2000 + 250 + 80 + 11 = 2341.
a(1) = A132475(ONE) = A132475(O)+A132475(N)+A132475(E) = 11 + 90 + 250
 = 351.
a(2) = 0 because "TWO" contains a "W" which is not one of Tartaglia's
 letters.
a(3) = A132475(THREE) = 160 + 200 + 80 + 250 + 250 = 940.
a(4) = 0 because "FOUR" contains a "U" which is not one of Tartaglia's
 letters.
a(5) = A132475(FIVE) = 40 + 1 + 5 + 250 = 296.
a(6) = A132475(SIX) = 70 + 1 + 10 = 81.
a(7) = A132475(SEVEN) = 70 + 250 + 5 + 250 + 90 = 665.
a(8) = A132475(EIGHT) = 250 + 1 + 400 + 200 + 160 = 1011.
a(9) = A132475(NINE) = 90 + 1 + 90 + 250 = 431.
a(10) = A132475(TEN) =  160 + 250 + 90 = 500 = A132475(Q).
%Y A000001 Cf. A005589, A052360, A052362-A052363, A134629, A132475.
%O A000001 0,1
%K A000001 ,nonn,word,
%A A000001 Jonathan Vos Post (jvospost2 at yahoo.com), Nov 19 2007
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