|
Search: id:A148300
|
|
|
| A148300 |
|
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, 1), (-1, 1, 0), (-1, 1, 1), (0, 0, 1), (1, 0, -1)} |
|
+0
1
|
|
| 1, 1, 2, 5, 13, 36, 117, 376, 1268, 4416, 15530, 56200, 206917, 771777, 2918347, 11132217, 42902292, 166855034, 653846383, 2580452228, 10243450403, 40893533547, 164120740217, 661823233025, 2680586062806, 10899832075916, 44484624408459, 182181730745624, 748510944968676, 3084555328960212
(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, j, 1 + k, -1 + n] + aux[i, j, -1 + k, -1 + n] + aux[1 + i, -1 + j, -1 + k, -1 + n] + aux[1 + i, -1 + j, k, -1 + n] + aux[1 + i, 1 + j, -1 + 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: A148297 A148298 A148299 this_sequence A038982 A019415 A092395
Adjacent sequences: A148297 A148298 A148299 this_sequence A148301 A148302 A148303
|
|
KEYWORD
|
nonn,walk
|
|
AUTHOR
|
Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008
|
|
|
Search completed in 0.002 seconds
|
