A162442 Denominators of the column sums of the EG1 matrix coefficients

2, 16, 48, 512, 1280, 2048, 14336, 262144, 589824, 2621440, 5767168, 50331648, 109051904, 469762048, 67108864, 34359738368, 73014444032, 103079215104, 652835028992, 1099511627776, 3848290697216, 48378511622144

Offset

2,1

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.

Links

Table of n, a(n) for n=2..23.

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))

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: A220801 A220250 A192388 * A159010 A223219 A063721

Adjacent sequences: A162439 A162440 A162441 * A162443 A162444 A162445

Keyword

easy,frac,nonn

Author

Johannes W. Meijer, Jul 06 2009

Status

approved