A059985 Łukasiewicz words as integers written in factorial base.

0, 1, 3, 4, 9, 10, 13, 14, 18, 33, 34, 37, 38, 42, 51, 52, 55, 56, 60, 73, 74, 78, 96, 153, 154, 157, 158, 162, 171, 172, 175, 176, 180, 193, 194, 198, 216, 249, 250, 253, 254, 258, 267, 268, 271, 272, 276, 289, 290, 294, 312, 363, 364, 367, 368, 372, 385, 386, 390, 408, 481

Offset: 0

Author

Claude Lenormand (claude.lenormand(AT)free.fr), Mar 07 2001

Keywords

• nonn
• base

Comments

There are A000108(n-1) (Catalan numbers) Łukasiewicz words of length n.

Examples

			Łukasiewicz words: 0 01 011 002 0111 0021 0102 0012 0003 01111 00211 01021 00121 00031 01102 00202 01012 00112 00022 01003 00103 00013 00004 ...
a(16) = f(01012) = 0*0! + 1*1! + 0*2! + 1*3! + 2*4! = 55.
a(23713) = f(0000000000x) = 0*0! + ... + 0*9! + x*10! = 36288000, where x is the digit 10. - _Danny Rorabaugh_, Oct 15 2015
		

Links

• Danny Rorabaugh, Table of n, a(n) for n = 0..10000
• OEIS Wiki, Łukasiewicz words
• Index entries for sequences related to Łukasiewicz

Crossrefs

Cf. A059984.

Extensions

a(37)-a(60) from Danny Rorabaugh, Oct 15 2015