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A113172
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Scrabble value of English word for the number n.
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6
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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
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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COMMENTS
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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
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LINKS
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FORMULA
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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.
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EXAMPLE
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ONE = 1+1+1 = 3, TWO = 1+4+1 = 6, THREE = 1+4+1+1+1 = 8
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MATHEMATICA
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(* 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);
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PROG
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(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", "")))
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CROSSREFS
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KEYWORD
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easy,nonn,word
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AUTHOR
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Jack Lloyd (foldalonglines(AT)gmail.com), Jan 07 2006
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EXTENSIONS
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STATUS
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approved
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