A060496 Each permutation in the list A060117 converted to Site Swap notation, with digits reversed. "Zero throws" (fixed elements) indicated with 0's.

0, 11, 210, 111, 102, 222, 3100, 3131, 2110, 1111, 1102, 2132, 2020, 1021, 3320, 3221, 2222, 1322, 1003, 2033, 1313, 2213, 3203, 3333, 41000, 41041, 41410, 41311, 41302, 41442, 31100, 31141, 21110, 11111, 11102, 21142, 21020, 11021, 31420

Offset: 0

Author

Antti Karttunen, Mar 21 2001

Keywords

• nonn
• base

Comments

This sequence is not well-defined for n >= 3628800 because the Site Swap notation can contain values exceeding 9, for example, the Site Swap notation for a(3628800) is [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 10]. - Sean A. Irvine, Nov 25 2022

Links

• Site Swap notation explained.

Crossrefs

Cf. factorial base representation A007623 and A060495, A006694.

In A060498 the digits are also "inverted", giving valid siteswap juggling patterns.

Programs

Maple

SiteSwap2ToDec := proc(s) local i,z; z := 0; for i from nops(s) by -1 to 1 do z := 10*z + s[i]; od; RETURN(z); end;

Formula

a(n) = SiteSwap2ToDec(Perm2SiteSwap1(PermUnrank3R(n))).