A072959 Using the US English names for the nonnegative integers, assign each letter a numerical value as in A073327 (A=1, B=2, ..., Z=26), treat the name as a base-27 integer, and convert to decimal.

515904, 11318, 15216, 10799546, 129618, 125258, 14118, 10211981, 2839691, 282506, 14729, 78236429, 299309045, 212445531527, 68884716992, 2457249197, 7503281492, 5427065792075, 55893641747, 150135668600, 299310469

Offset: 0

Author

Michael Joseph Halm, Aug 13 2002

Keywords

• easy
• nonn
• word

Comments

For names with spaces (e.g., ONE HUNDRED), treat each space as a '0', or placeholder, in the base-27 system. (Therefore ONE HUNDRED = 3196540902115084.)

English name for the number n transliterated into Lee Sallows's base-27 system.

Examples

			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.
		

References

• M. J. Halm, Sequences (Re)discovered, Mpossibilities 81 (Aug. 2002).

Links

• M. J. Halm, Jootsy Calculus.

Programs

Maple

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:
# R. J. Mathar

Formula

In Sallows's system, space = 0, A = 1, B = 2, etc. to Z = 26, so that words and phrases, even number names, can be transformed into numbers.

Extensions

Definition rephrased by Matthew Goers, Nov 03 2009

The old version of this sequence was wrong. Don Reble and R. J. Mathar 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

Offset corrected by Sean A. Irvine, Nov 07 2024