A072922 Spell English name for n, then interpret as number in base 36.

1652100, 31946, 38760, 49537526, 732051, 724298, 36969, 47723135, 24375809, 1097258, 38111, 882492287, 1807948346, 2310701170991, 1242626638127, 33766692143, 62095095599, 1165465079087, 1137277763375, 1842973464623

Offset

0,1

Comments

Base 36 extrapolates the use of the letters of the alphabet as placeholders, as in the more familiar base-16's A, B, C, D, E, F, all the way to Z.

References

M. J. Halm, Sequences (Re)discovered, Mpossibilities 81 (Aug. 2002).

Links

Table of n, a(n) for n=0..19.

Landon Curt Noll, The English Name of a Number

Eric Weisstein's World of Mathematics, Number

Robert G. Wilson v, English names for the numbers from 0 to 11159 without spaces or hyphens .

M. J. Halm, Jootsy Calculus.

Formula

In base 36 A = 10, B = 11, ..., Z = 35

Example

a(0) = 1652100 because zero (base 36) = z(36^3) + e(36^2) + r(36) + o = 35(46656) + 14(1296) + 27(36) + 24 = 1632960 + 18144 + 972 + 24 = 1652100 (base 10).

Mathematica

lst = {zero, one, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen, twenty, twentyone, twentytwo, twentythree, twentyfour, twentyfive, twentysix, twentyseven, twentyeight, twentynine, thirty, thirtyone, thirtytwo, thirtythree, thirtyfour, thirtyfive, thirtysix, thirtyseven, thirtyeight, thirtynine, forty, fortyone, fortytwo, fortythree, fortyfour, fortyfive, fortysix, fortyseven, fortyeight, fortynine, fifty};
f[ls_] := FromDigits[ToString@ls, 36]; f@# & /@ lst (* Robert G. Wilson v, Aug 26 2007 *)

Crossrefs

Cf. A038842.

Sequence in context: A258953 A342429 A144127 * A204762 A333512 A061127

Adjacent sequences: A072919 A072920 A072921 * A072923 A072924 A072925

Keyword

word,base,nonn

Author

Michael Joseph Halm, Aug 19 2002

Status

approved