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A162442
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Denominators of the column sums of the EG1 matrix coefficients
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3
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2, 16, 48, 512, 1280, 2048, 14336, 262144, 589824, 2621440, 5767168, 50331648, 109051904, 469762048, 67108864, 34359738368, 73014444032, 103079215104, 652835028992, 1099511627776, 3848290697216, 48378511622144
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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COMMENTS
| For the definition of the EG1 matrix coefficients see A162440.
We define the columns sums by cs(n) = sum(EG1[2*m-1,n], m = 1.. infinity) for n => 2.
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FORMULA
| a(n) = denom(cs(n)) and numer(cs(n)) = A162441(n) with cs(n) = (2^(2-2*n)/(n-1))*((2*n-1)!/((n-1)!^2)).
a(n) = denom((1/(n-1))*(2*n-1)*binomial(2*n-2,n-1)/4^(n-1))
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CROSSREFS
| Equals A052469(n-1)/2 for n=>2.
cs(n) = (1/(n-1))*A001803(n-1)/A046161(n-1) for n=>2.
Cf. A162440 and A162441.
Sequence in context: A139267 A181340 A192388 * A159010 A063721 A012180
Adjacent sequences: A162439 A162440 A162441 * A162443 A162444 A162445
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KEYWORD
| easy,frac,nonn
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AUTHOR
| Johannes W. Meijer (meijgia(AT)hotmail.com), Jul 06 2009
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