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A132204 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. 0
2341, 351, 0, 940, 0, 296, 81, 665, 1011, 431, 500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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)?

This sequence seems unnatural, since English uses three letters that were not in the Latin alphabet (W, U, J). A better sequence would first write the names of the numbers in Latin (cf. A132984) and then sum the values of the letters. - N. J. A. Sloane, Nov 30 2007

LINKS

Table of n, a(n) for n=0..10.

EXAMPLE

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).

CROSSREFS

Cf. A005589, A052360, A052362-A052363, A134629, A132475.

Sequence in context: A207296 A043440 A023938 * A181129 A064868 A263556

Adjacent sequences:  A132201 A132202 A132203 * A132205 A132206 A132207

KEYWORD

nonn,word

AUTHOR

Jonathan Vos Post, Nov 19 2007

STATUS

approved

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Last modified September 24 14:01 EDT 2022. Contains 356932 sequences. (Running on oeis4.)