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A059346
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Difference array of Catalan numbers A000108 read by antidiagonals.
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2
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1, 0, 1, 1, 1, 2, 1, 2, 3, 5, 3, 4, 6, 9, 14, 6, 9, 13, 19, 28, 42, 15, 21, 30, 43, 62, 90, 132, 36, 51, 72, 102, 145, 207, 297, 429, 91, 127, 178, 250, 352, 497, 704, 1001, 1430, 232, 323, 450, 628, 878, 1230, 1727, 2431, 3432, 4862, 603, 835, 1158, 1608, 2236, 3114
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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REFERENCES
| F. R. Bernhart, Catalan, Motzkin and Riordan numbers, Discr. Math., 204 (1999) 73-112.
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EXAMPLE
| 1; 0,1; 1,1,2; 1,2,3,5; 3,4,6,9,14; ...
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MATHEMATICA
| max = 11; t = Table[ Differences[ Table[ CatalanNumber[k], {k, 0, max}], n], {n, 0, max}]; Flatten[ Table[t[[n-k+1, k]], {n, 1, max}, {k, 1, n}]] (* From Jean-François Alcover, Nov 15 2011 *)
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CROSSREFS
| Top row is A000108, leading diagonals give A005043, A001006, A005554. Row sums are A106640.
Cf. A000108, A000245, A026012, A033434.
Sequence in context: A117673 A107946 A054502 * A076492 A127462 A106436
Adjacent sequences: A059343 A059344 A059345 * A059347 A059348 A059349
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KEYWORD
| nonn,easy,nice,tabl
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 27 2001
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EXTENSIONS
| More terms from Larry Reeves (larryr(AT)acm.org), Feb 16 2001
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