The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A148678 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, 0), (0, 0, -1), (1, 0, 1)} 0
 1, 1, 3, 7, 21, 73, 229, 761, 2671, 9387, 34743, 127299, 462043, 1736519, 6577091, 25138527, 96964869, 371447721, 1437904717, 5632450065, 22114602041, 87321019245, 344916017793, 1364490574293, 5439723894253, 21765386886513, 87302393318629, 350941102667225, 1411395747080789, 5695892893180473 (list; graph; refs; listen; history; text; internal format)
 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, 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: A105795 A322459 A244174 * A148679 A148680 A001576 Adjacent sequences:  A148675 A148676 A148677 * A148679 A148680 A148681 KEYWORD nonn,walk AUTHOR Manuel Kauers, Nov 18 2008 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 3 21:17 EST 2021. Contains 349468 sequences. (Running on oeis4.)