|
Search: id:A149235
|
|
|
| A149235 |
|
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), (-1, 1, 0), (0, 0, -1), (1, 0, 1)} |
|
+0
1
|
|
| 1, 1, 4, 11, 34, 123, 435, 1517, 5876, 22077, 82943, 329771, 1289428, 5030383, 20389326, 81653403, 326499226, 1341046419, 5460664651, 22207889609, 92128656644, 379717560749, 1563566911784, 6536704457005, 27192038832016, 113035157708205, 475491523073385, 1992464157562623, 8344609701134284
(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, 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: A151272 A112272 A149234 this_sequence A149236 A135919 A034755
Adjacent sequences: A149232 A149233 A149234 this_sequence A149236 A149237 A149238
|
|
KEYWORD
|
nonn,walk
|
|
AUTHOR
|
Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008
|
|
|
Search completed in 0.002 seconds
|
