A132676 Decimal number representations of hexadecimal numbers whose form spells an American-English word found in a standard dictionary in numerical order.
10, 173, 190, 250, 2746, 2766, 2781, 2986, 2989, 3053, 3054, 3243, 3245, 3310, 3499, 3501, 3566, 3771, 4013, 4077, 4078, 44013, 44269, 47789, 47806, 47838, 47871, 48813, 48879, 51934, 51966, 52958, 56014, 56063, 57005, 57007, 57069, 64206
Offset: 1
Examples
"D. The hexadecimal system is also used frequently in computers. 1. In this system instead of having ten digits, 0 through 9, or two digits, 0 and 1, [as in the binary system] we have sixteen digits. These are the digits 0 through 9, along with A, B, C, D, E and F, which represent the numbers 10, 11, 12, 13, 14 and 15. 2. In base 10, the number 42 would be represented as four 10s and one 2, but in a hexadecimal system, 42 would be four 16s and one 2, or 4*16+2*1=66... ."
References
- Arthur T. Benjamin, "The Joy of Mathematics", The Great Courses Series by The Teaching Company, Course Guide Book and DVD's, Lecture 2, 'The Joy of Numbers'.
- Philip Babcock Gove, Editor, Webster's Third New International Dictionary of the English Language, Unabridged, G. & C. Merriam Co., Publishers, Springfield, MA, 1961.
- Official Scrabble Players Dictionary, The Official Reference For Recreational And School Play, Authorized by the makers of Scrabble (R) Brand crossword games and endorsed by the National Scrabble (R) Association.
- John Simpson, Editor, Oxford English Dictionary, Oxford University Press, 2007.
- Webster's New Collegiate Dictionary, G. & C. Merriam Co., Publishers, Springfield, MA.
Links
- Arthur T. Benjamin, Home page.
- Scrabble, Home Page
- John Simpson, The Oxford English Dictionary.
- Teaching Company, The Joy of Mathematics.
- Eric Weisstein's World of Mathematics, Hexadecimal.
- Wikipedia, The Oxford English Dictionary.
- Wikipedia, The Official Scrabble Players Dictionary.
Programs
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Mathematica
lst = {a, aba, abaca, abed, accede, acceded, ace, aced, ad, add, added, baa, baad, babe, bad, bade, baff, baffed, be, bead, beaded, bed, bedded, bee, beef, beefed, cab, cad, cade, cafe, cede, ceded, cee, dab, dabbed, dace, dad, daff, dead, deaf, decade, dee, deed, deeded, deface, defaced, ebb, ebbed, efface, effaced, fa, facade, face, faced, fad, fade, faded, fed, fee, feed}; f[ls_] := FromDigits[ ToString@ ls, 16]; Sort[f@# & /@ lst]
Comments