A060498 Each permutation in the list A060117 converted to Site Swap notation, with digits reversed and inverted. "Zero throws" (fixed elements) indicated with 0's.

0, 11, 120, 222, 201, 111, 1300, 1313, 2330, 3333, 3302, 2312, 2020, 3023, 1120, 1223, 2222, 3122, 3001, 2011, 3131, 2231, 1201, 1111, 14000, 14014, 14140, 14244, 14203, 14113, 24400, 24414, 34440, 44444, 44403, 34413, 34030, 44034, 24130

Offset: 0

Author

Antti Karttunen, Mar 22 2001

Keywords

• nonn

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

Crossrefs

Cf. A060495, A060496, A060499. Average of digits gives number of balls: A060502.

Programs

Maple

SiteSwap3ToDec := proc(s) local i,z,n; n := nops(s); z := 0; for i from n by -1 to 1 do z := 10*z; if(s[i] > 0) then z := z + (n-s[i]); fi; od; RETURN(z); end;

Formula

a(n) = SiteSwap3ToDec(Perm2SiteSwap1(PermUnrank3R(n))).