login
This site is supported by donations to The OEIS Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A113172 Scrabble value of English word for the number n. 5
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)
OFFSET

0,1

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. 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, Nov 08 2006

LINKS

Table of n, a(n) for n=0..72.

Landon Curt Noll, The English Name of a Number

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.

EXAMPLE

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

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 *)

CROSSREFS

Cf. A080993, A080994.

Sequence in context: A280009 A117540 A010221 * A128154 A213538 A264971

Adjacent sequences:  A113169 A113170 A113171 * A113173 A113174 A113175

KEYWORD

easy,nonn,word

AUTHOR

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

EXTENSIONS

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

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 18 13:34 EST 2019. Contains 319271 sequences. (Running on oeis4.)