|
Search: id:A114929
|
|
|
| A114929 |
|
Array read by antidiagonals: consider a semi-infinite chessboard with squares labeled (i,j), i >= 0, j >= 0; T(i,j) = number of king-paths of length max{i,j} from (0,0) to (i,j). |
|
+0
4
|
|
| 0, 1, 1, 2, 1, 2, 4, 2, 2, 4, 9, 5, 1, 5, 9, 21, 12, 3, 3, 12, 21, 51, 30, 9, 1, 9, 30, 51, 127, 76, 25, 4, 4, 25, 76, 127, 323, 196, 69, 14, 1, 14, 69, 196, 323, 835, 512, 189, 44, 5, 5, 44, 189, 512, 835, 2188, 1353, 518, 133, 20, 1, 20, 133, 518, 1353, 2188, 5798, 3610, 1422
(list; table; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
REFERENCES
|
Harrie Grondijs, Neverending Quest of Type C, Volume B - the endgame study-as-struggle.
|
|
FORMULA
|
Equals Motzkin triangle (A026300) next to same triangle reflected in mirror. See A026300 for the obvious recurrence.
|
|
EXAMPLE
|
Array begins:
0 1 2 4 9 21 51 ...
1 1 2 5 12 30 ...
2 2 1 3 9 25 ...
4 5 3 1 4 14 ...
...
|
|
CROSSREFS
|
Cf. A026300, A111808, A114972.
Sequence in context: A097082 A145173 A082793 this_sequence A152251 A144025 A058573
Adjacent sequences: A114926 A114927 A114928 this_sequence A114930 A114931 A114932
|
|
KEYWORD
|
nonn,tabl,easy
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), based on May 27 2005 email from Harrie Grondijs (hgrondijs(AT)epo.org), Feb 27 2006
|
|
EXTENSIONS
|
More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 20 2006
|
|
|
Search completed in 0.003 seconds
|
