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

1,1

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.

References

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

Links

Table of n, a(n) for n=1..21.

M. J. Halm, Jootsy Calculus.

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.

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.

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

Crossrefs

Sequence in context: A257431 A254240 A087096 * A048527 A255041 A255034

Adjacent sequences: A072956 A072957 A072958 * A072960 A072961 A072962

Keyword

easy,nonn,word

Author

Michael Joseph Halm, Aug 13 2002

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

Status

approved