Sum of Manhattan distances over all self-avoiding n-step walks on square lattice. Numerator of mean Manhattan displacement s(n) = a(n)/A046661(n).
A078798
Sum of Manhattan distances over all self-avoiding n-step walks on square lattice. Numerator of mean Manhattan displacement s(n) = a(n)/A046661(n).
Terms
- a(0) =1a(1) =6a(2) =23a(3) =80a(4) =263a(5) =834a(6) =2569a(7) =7764a(8) =23095a(9) =67910a(10) =197607a(11) =570560a(12) =1635331a(13) =4661026a(14) =13212739a(15) =37296004a(16) =104836893a(17) =293710714a(18) =820132581a(19) =2283926980a(20) =6343214871a(21) =17578257134a(22) =48604029143a(23) =134141458280a(24) =369519394643
External references
- oeis: A078798