|
Search: id:A148094
|
|
|
| A148094 |
|
Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 0, 1), (0, 1, -1), (1, -1, 0)} |
|
+0
1
|
|
| 1, 1, 2, 4, 10, 25, 75, 217, 686, 2136, 7143, 23473, 81750, 280112, 1000476, 3529443, 12926899, 46740449, 174248545, 642573826, 2432741851, 9116884251, 34979496027, 132930156161, 515588023612, 1982470289972, 7765603476152, 30166998260556, 119166643516657, 467106203960011, 1859074152674149
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
LINKS
|
A. Bostan and M. Kauers, 2008. Automatic Classification of Restricted Lattice Walks, ArXiv 0811.2899.
|
|
MATHEMATICA
|
aux[i_Integer, j_Integer, k_Integer, n_Integer] := Which[Min[i, j, k, n] < 0 || Max[i, j, k] > n, 0, n == 0, KroneckerDelta[i, j, k, n], True, aux[i, j, k, n] = aux[-1 + i, 1 + j, k, -1 + n] + aux[i, -1 + j, 1 + k, -1 + n] + aux[i, j, -1 + k, -1 + n] + aux[1 + i, j, k, -1 + n] + aux[1 + i, 1 + j, k, -1 + n]]; Table[Sum[aux[i, j, k, n], {i, 0, n}, {j, 0, n}, {k, 0, n}], {n, 0, 10}]
|
|
CROSSREFS
|
Sequence in context: A001998 A005817 A148093 this_sequence A148095 A124419 A148096
Adjacent sequences: A148091 A148092 A148093 this_sequence A148095 A148096 A148097
|
|
KEYWORD
|
nonn,walk
|
|
AUTHOR
|
Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008
|
|
|
Search completed in 0.002 seconds
|
