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Search: id:A062344
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| A062344 |
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Triangle of C(2n,k) with n >= k. |
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+0
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; listen)
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OFFSET
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0,3
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REFERENCES
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E. H. M. Brietzke, An identity of Andrews ..., Discrete Math., 308 (2008), 4246-4262.
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LINKS
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Index entries for triangles and arrays related to Pascal's triangle
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FORMULA
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a(n, k)=a(n, k-1)*((2n+1)/k-1) with a(n, 0)=1
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EXAMPLE
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Rows start (1), (1,2), (1,4,6), (1,6,15,20) etc.
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CROSSREFS
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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: A002987 A063872 A033884 this_sequence A033877 A059369 A098473
Adjacent sequences: A062341 A062342 A062343 this_sequence A062345 A062346 A062347
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KEYWORD
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nonn,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jul 06 2001
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