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Search: id:A075779
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| A075779 |
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Triangle T(n,k) = f(n,k,n-1), n >= 2, 1 <= k <= n-1, where f is given below. |
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+0
4
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| 2, 6, 6, 12, 16, 12, 20, 35, 35, 20, 30, 66, 84, 66, 30, 42, 112, 175, 175, 112, 42, 56, 176, 328, 400, 328, 176, 56, 72, 261, 567, 819, 819, 567, 261, 72, 90, 370, 920, 1540, 1820, 1540, 920, 370, 90, 110, 506, 1419, 2706, 3696, 3696, 2706, 1419, 506, 110, 132, 672
(list; table; graph; listen)
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OFFSET
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2,1
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COMMENT
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Row sums give sequence A033484(n)*(n+2). Essentially same triangle as A051597(n,k)*(n+2). - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Oct 01 2003
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LINKS
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Michel Lassalle, A new family of positive integers
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FORMULA
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f(n, p, k) = binomial(n, k)*hypergeom([1-k, -p, p-n], [1-n, 1], 1).
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EXAMPLE
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2; 6,6; 12,16,12; 20,35,35,20; ...
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MAPLE
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f := proc(n, p, k) convert( binomial(n, k)*hypergeom([1-k, -p, p-n], [1-n, 1], 1), `StandardFunctions`); end;
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CROSSREFS
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Cf. A014410 and A007318 for f(n,k,n), A075779 and A075798 for f(n,k,n-1) and A075780 and A075837 for f(n,k,n-2).
Cf. A033484 A051597.
Sequence in context: A071892 A064797 A053319 this_sequence A065420 A119312 A051398
Adjacent sequences: A075776 A075777 A075778 this_sequence A075780 A075781 A075782
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KEYWORD
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nonn,tabl
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AUTHOR
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njas, Oct 17 2002
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