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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. 3

%I #20 Oct 19 2017 03:14:04

%S 515904,11318,15216,10799546,129618,125258,14118,10211981,2839691,

%T 282506,14729,78236429,299309045,212445531527,68884716992,2457249197,

%U 7503281492,5427065792075,55893641747,150135668600,299310469

%N 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.

%C 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.)

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

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

%H M. J. Halm, <a href="http://michaelhalm.tripod.com/jootsy.htm">Jootsy Calculus</a>.

%F 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.

%e a(1) = 11318 because o(729) + n(27) + e = 10935 + 378 + 5 = 11318.

%e a(2) = 15216 because "TWO" in base 27 gives 20*27^2 + 23*27 + 15 = 15216.

%p lSallow27 := proc(s)

%p local a,i,c ;

%p a := 0 ;

%p for i from 1 to length(s) do

%p c := substring(s,i) ;

%p if c = " " then

%p a := 27*a ;

%p else

%p a := 27*a + StringTools[Ord](c) -96 ;

%p fi;

%p od:

%p a ;

%p end:

%p enums := ["one","two","three","four","five","six","seven","eight","nine","ten",

%p "eleven","twelve", "thirteen","fourteen","fifteen","sixteen","seventeen",

%p "eighteen","nineteen","twenty"]:

%p for i from 1 to nops(enums) do

%p printf("%d %d\n",i, lSallow27(enums[i])) ;

%p od:

%p # _R. J. Mathar_

%K easy,nonn,word

%O 1,1

%A _Michael Joseph Halm_, Aug 13 2002

%E Definition rephrased by _Matthew Goers_, Nov 03 2009

%E 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

%E Edited by _N. J. A. Sloane_, Aug 15 2010 at the suggestion of _D. S. McNeil_

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)