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A072959
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Using the US English name for the nonnegative integers, assign each letter a numerical value as in A073327 (A=1, B=2, ..., Z=26) and treat the name as a base-27 integer. Convert to decimal.
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2
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515904, 11318, 15216, 10799546, 129618, 125258, 14118, 10211981, 2839691, 282506, 14729, 78236429, 299309045, 212445531527, 68884716992, 2457249197, 7503281492, 5427065792075, 55893641747, 150135668600, 299310469
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| For names with spaces (e.g. ONE HUNDRED), treat each space as a '0', or place holder, in the base 27 system. (Therefore ONE HUNDRED = 3196540902115084).
English name for the number n transliterated into Lee Sallows' base-27 system.
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REFERENCES
| M. J. Halm, Sequences (Re)discovered, Mpossibilities 81 (Aug. 2002).
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LINKS
| M. J. Halm, Jootsy Calculus.
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FORMULA
| In Sallows' system, space = 0, A = 1, B = 2, etc. to Z = 26, so that words and phrases, even number names, can be transformed into numbers
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EXAMPLE
| a(1) = 11318 because o(729) + n(27) + e = 10935 + 378 + 5 = 11318
a(2) = 15216 because "TWO" in base 27 gives 20*27^2+23*27+15 = 15216.
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MAPLE
| (Maple code from R. J. Mathar)
lSallow27 := proc(s)
local a, i, c ;
a := 0 ;
for i from 1 to length(s) do
c := substring(s, i) ;
if c = " " then
a := 27*a ;
else
a := 27*a + StringTools[Ord](c) -96 ;
fi;
od:
a ;
end:
enums := ["one", "two", "three", "four", "five", "six", "seven", "eight", "nine", "ten",
"eleven", "twelve", "thirteen", "fourteen", "fifteen", "sixteen", "seventeen",
"eighteen", "nineteen", "twenty"]:
for i from 1 to nops(enums) do
printf("%d %d\n", i, lSallow27(enums[i])) ;
od:
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CROSSREFS
| Sequence in context: A205899 A068816 A087096 * A048527 A157803 A186180
Adjacent sequences: A072956 A072957 A072958 * A072960 A072961 A072962
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KEYWORD
| easy,nonn,word
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AUTHOR
| Michael Joseph Halm (hierogamous(AT)lycos.com), Aug 13 2002
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EXTENSIONS
| Definition rephrased by Matthew Goers (matthewgoers(AT)msn.com), Nov 03 2009
The old version of this sequence was wrong. Don Reble (djr(AT)nk.ca) and R. J. Mathar (mathar(AT)strw.leidenuniv.nl) supplied a corrected version. Edited by N. J. A. Sloane, Sep 20 2009
Edited by N. J. A. Sloane, Aug 15 2010 at the suggestion of D. S. McNeil
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