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

0,2

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

Table of n, a(n) for n=0..38.

Site Swap notation explained.

Formula

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

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;

Crossrefs

Cf. factorial base representation A007623 and A060495, A006694.

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

Sequence in context: A034909 A081788 A358321 * A280072 A157691 A196944

Adjacent sequences: A060493 A060494 A060495 * A060497 A060498 A060499

Keyword

nonn,base

Author

Antti Karttunen, Mar 21 2001

Status

approved