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, 1229565944111, 33766692143, 62095095599, 80156542487855, 1137277763375, 1842973464623, 1807950886, 84351756569162, 84351756575976

Offset: 0

Author

Michael Joseph Halm, Aug 19 2002

Keywords

• word
• base
• nonn

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.

Examples

			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).
		

References

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

Links

• 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.

Crossrefs

Cf. A038842.

Programs

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 *)

Formula

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

Extensions

a(14) and a(17) corrected and more terms from Sean A. Irvine, Nov 04 2024