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A114972
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Array read by antidiagonals: consider a doubly infinite chessboard with squares labeled (i,j), i in Z, j in Z; T(i,j) = number of king-paths of length max{i,j} from (0,0) to (i,j).
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3
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1, 1, 1, 3, 1, 3, 7, 2, 2, 7, 19, 6, 1, 6, 19, 51, 16, 3, 3, 16, 51, 141, 45, 10, 1, 10, 45, 141, 393, 126, 30, 4, 4, 30, 126, 393, 1107, 357, 90, 15, 1, 15, 90, 357, 1107, 3139, 1016, 266, 50, 5, 5, 50, 266, 1016, 3139, 8953, 2907, 784, 161, 21, 1, 21, 161, 784, 2907
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| Harrie Grondijs, Neverending Quest of Type C, Volume B - the endgame study-as-struggle.
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FORMULA
| Equals triangle A111808 next to same triangle reflected in mirror. See A111808 for obvious recurrence.
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EXAMPLE
| Array begins:
1 1 3 7 19 ...
1 1 2 6 ...
3 2 1 3 ...
7 6 3 1 ...
...
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CROSSREFS
| Cf. A111808, A026300, A114929.
Sequence in context: A152903 A122507 A094250 * A107461 A035619 A092689
Adjacent sequences: A114969 A114970 A114971 * A114973 A114974 A114975
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KEYWORD
| nonn,tabl,easy
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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
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EXTENSIONS
| More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 20 2006
T(0,0) corrected by Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 05 2010
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