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A059346 Difference array of Catalan numbers A000108 read by antidiagonals. +0
3
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; listen)
OFFSET

0,6

REFERENCES

F. R. Bernhart, Catalan, Motzkin and Riordan numbers, Discr. Math., 204 (1999) 73-112.

EXAMPLE

1; 0,1; 1,1,2; 1,2,3,5; 3,4,6,9,14; ...

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 this_sequence A076492 A127462 A106436

Adjacent sequences: A059343 A059344 A059345 this_sequence A059347 A059348 A059349

KEYWORD

nonn,easy,nice,tabl

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 27 2001

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Feb 16 2001

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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