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

0,3

Comments

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

Links

Danny Rorabaugh, Table of n, a(n) for n = 0..10000

OEIS Wiki, Łukasiewicz words

Index entries for sequences related to Łukasiewicz

Example

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

Crossrefs

Cf. A059984.

Sequence in context: A356823 A345359 A287323 * A137709 A275538 A090120

Adjacent sequences: A059982 A059983 A059984 * A059986 A059987 A059988

Keyword

nonn,base

Author

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

Extensions

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

Status

approved