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A062344
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Triangle of C(2n,k) with n >= k.
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5
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1, 1, 2, 1, 4, 6, 1, 6, 15, 20, 1, 8, 28, 56, 70, 1, 10, 45, 120, 210, 252, 1, 12, 66, 220, 495, 792, 924, 1, 14, 91, 364, 1001, 2002, 3003, 3432, 1, 16, 120, 560, 1820, 4368, 8008, 11440, 12870, 1, 18, 153, 816, 3060, 8568, 18564, 31824, 43758, 48620, 1, 20
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| E. H. M. Brietzke, An identity of Andrews and a new method for the Riodan array proof of combinatorial identities, Discrete Math., 308 (2008), 4246-4262.
Index entries for triangles and arrays related to Pascal's triangle
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FORMULA
| a(n, k)=a(n, k-1)*((2n+1)/k-1) with a(n, 0)=1
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EXAMPLE
| Rows start
(1),
(1,2),
(1,4,6),
(1,6,15,20)
etc.
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PROG
| (maxima) create_list(binomial(2*n, k), n, 0, 12, k, 0, n); [Emanuele Munarini, Mar 11 2011]
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CROSSREFS
| Columns include (sometimes truncated) A000012, A005843, A000384, A002492, A053134 etc. Right hand side includes A000984, A001791, A002694, A002696 etc. Row sums are A032443. Row alternate differences (e.g. 6-4+1=3 or 20-15+6-1=10) are A001700.
Cf. A122366.
Sequence in context: A199909 A033884 A199704 * A033877 A059369 A199530
Adjacent sequences: A062341 A062342 A062343 * A062345 A062346 A062347
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KEYWORD
| nonn,tabl,changed
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jul 06 2001
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