The OEIS is supported by the many generous donors to the OEIS 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 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A150426 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, 0, 0), (0, 1, 1), (1, -1, -1), (1, 1, 0)} 0
 1, 2, 7, 24, 97, 390, 1668, 7196, 31867, 142529, 646589, 2956045, 13635663, 63282220, 295455178, 1386058114, 6530966051, 30887833937, 146579346293, 697658231680, 3329494641302, 15927935970220, 76363918636170, 366839522357130, 1765432350025326, 8510291863289516, 41086472127691990, 198638290621965200 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 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[-1 + i, 1 + j, 1 + k, -1 + n] + aux[i, -1 + j, -1 + k, -1 + n] + aux[1 + i, 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: A150424 A150425 A102286 * A150427 A150428 A150429 Adjacent sequences: A150423 A150424 A150425 * A150427 A150428 A150429 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 3 18:10 EST 2022. Contains 358537 sequences. (Running on oeis4.)