A113172 Scrabble value of English word for the number n.

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, 20, 21, 16, 12, 15, 18, 20, 19, 22, 22, 20, 21, 16, 11, 14, 17, 19, 18, 21, 21, 19, 20, 15, 14, 17, 20, 22, 21, 24, 24, 22, 23, 18, 15, 18, 21, 23, 22, 25, 25, 23, 24, 19, 13, 16, 19

Offset: 0

Author

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

Keywords

• easy
• nonn
• word

Comments

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

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

Examples

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

Links

• Landon Curt Noll, The English Name of a Number
• Robert G. Wilson v, English names for the numbers from 0 to 11159 without spaces or hyphens

Crossrefs

Cf. A080993, A167052 (Spanish).

Programs

Mathematica

(* 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, Nov 02 2006 *)

Python

from num2words import num2words
tp = {"aeilnorstu": 1, "dg": 2, "bcmp":3, "fhvwy":4, "k":5, "jx":8, "qz":10}
def pts(c): return ([tp[s] for s in tp if c in s]+[0])[0]
def a(n): return sum(map(pts, num2words(n).replace(" and", "")))
print([a(n) for n in range(73)]) # Michael S. Branicky, Aug 18 2021

Formula

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.

Extensions

More terms from Robert G. Wilson v, Nov 02 2006