A113172 - OEIS

%I #27 Apr 22 2023 10:37:10

%S 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,

%T 22,20,21,16,12,15,18,20,19,22,22,20,21,16,11,14,17,19,18,21,21,19,20,

%U 15,14,17,20,22,21,24,24,22,23,18,15,18,21,23,22,25,25,23,24,19,13,16,19

%N Scrabble value of English word for the number n.

%C The name Scrabble is a registered trademark of Hasbro, Inc. in the US and Canada and of J. W. Spear & Sons PLC elsewhere.

%C 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. - _Jonathan Vos Post_, Nov 08 2006

%H Landon Curt Noll, <a href="http://www.isthe.com/chongo/tech/math/number/number.html">The English Name of a Number</a>

%H Robert G. Wilson v, <a href="/A000027/a000027.txt">English names for the numbers from 0 to 11159 without spaces or hyphens</a>

%F 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 ONE = 1+1+1 = 3, TWO = 1+4+1 = 6, THREE = 1+4+1+1+1 = 8

%t (* first copy 'TA' from A109382 then *)

%t  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};

%t  f[n_] := Plus @@ (Flatten@ Part[TA, n + 1] /. ScrabbleTransferRule);

%t  Table[ f@n, {n, 0, 72}] (* _Robert G. Wilson v_, Nov 02 2006 *)

%o (Python)

%o from num2words import num2words

%o tp = {"aeilnorstu": 1, "dg": 2, "bcmp":3, "fhvwy":4, "k":5, "jx":8, "qz":10}

%o def pts(c): return ([tp[s] for s in tp if c in s]+[0])[0]

%o def a(n): return sum(map(pts, num2words(n).replace(" and", "")))

%o print([a(n) for n in range(73)]) # _Michael S. Branicky_, Aug 18 2021

%Y Cf. A080993, A167052 (Spanish).

%K easy,nonn,word

%O 0,1

%A Jack Lloyd (foldalonglines(AT)gmail.com), Jan 07 2006

%E More terms from _Robert G. Wilson v_, Nov 02 2006