%I A113172
%S A113172 13,3,6,8,7,10,10,8,9,4,3,9,12,11,11,13,14,12,12,8,12,15,18,20,19,22,22,
%T A113172 20,21,16,12,15,18,20,19,22,22,20,21,16,11,14,17,19,18,21,21,19,20,15,
%U A113172 14,17,20,22,21,24,24,22,23,18,15,18,21,23,22,25,25,23,24,19,13,16,19
%N A113172 Scrabble value of English word for the number n.
%C A113172 The name Scrabble is a registered trademark of Hasbro, Inc. in the US 
               and Canada and of J. W. Spear & Sons PLC elsewhere.
%C A113172 Is 12 the unique fixed point of Scrabble value of English word for the 
               number n, where A113172(n) = n? 12 --> "TWELVE" --> 1+4+1+1+4+1 --> 
               12. For what n are A113172(n) prime? For what n are there cycles 
               of what length for iterations n, A113172(n), A113172(A113172(n)), 
               A113172(A113172(A113172(n))), ...? For what n does A113172(n) | n? 
               These are key questions in general Scrabblomics. - Jonathan Vos Post 
               (jvospost3(AT)gmail.com), Nov 08 2006
%H A113172 Landon Curt Noll, <a href="http://www.isthe.com/chongo/tech/math/number/
               number.html">The English Name of a Number</a>
%F A113172 The standard, non-bonus scrabble scoring total of the letters comprising 
               English integer words, given that (A080993) A = 1, B = 3, C = 3, 
               D = 2, E = 1, F = 4, G = 2, H = 4, I = 1, J = 8, K = 5, L = 1, M 
               = 3, N = 1, O = 1, P = 3, Q = 10, R = 1, S = 1, T = 1, U = 1, V = 
               4, W = 4, X = 8, Y = 4, Z = 10.
%e A113172 ONE = 1+1+1 = 3, TWO = 1+4+1 = 6, THREE = 1+4+1+1+1 = 8
%t A113172 (* first copy 'TA' from A109382 then *) ScrabbleTransferRule = {a -> 
               1, b -> 3, c -> 3, d -> 2, e -> 1, f -> 4, g -> 2, h -> 4, i -> 1, 
               j -> 8, k -> 5, l -> 1, m -> 3, n -> 1, o -> 1, p -> 3, q -> 10, 
               r -> 1, s -> 1, t -> 1, u -> 1, v -> 4, w -> 4, x -> 8, y -> 4, z 
               -> 10}; f[n_] := Plus @@ (Flatten@ Part[TA, n + 1] /. ScrabbleTransferRule); 
               Table[ f@n, {n, 0, 72}] (* Robert G. Wilson v *)
%Y A113172 Cf. A080993, A080994.
%Y A113172 Sequence in context: A104818 A117540 A010221 this_sequence A128154 A107806 
               A138965
%Y A113172 Adjacent sequences: A113169 A113170 A113171 this_sequence A113173 A113174 
               A113175
%K A113172 easy,nonn,word
%O A113172 0,1
%A A113172 Jack Lloyd (foldalonglines(AT)gmail.com), Jan 07 2006
%E A113172 More terms from Robert G. Wilson v Nov 02 2006