login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A292613 a(n) = [x^n] 1/(1-x)^n * Product_{k=1..n} 1/(1-x^k). 4

%I

%S 1,2,7,25,92,343,1292,4902,18703,71677,275694,1063636,4114131,

%T 15948762,61946290,241013869,939125870,3664299332,14314777054,

%U 55982787136,219158088711,858728875776,3367576480747,13216392846128,51905939548950,203989227456894,802164259099114

%N a(n) = [x^n] 1/(1-x)^n * Product_{k=1..n} 1/(1-x^k).

%H Vaclav Kotesovec, <a href="/A292613/b292613.txt">Table of n, a(n) for n = 0..300</a>

%F a(n) ~ c * 4^n / sqrt(Pi*n), where c = 1/(2*QPochhammer[1/2, 1/2]) = 1.7313733097275318057689... - _Vaclav Kotesovec_, Sep 20 2017

%t Table[SeriesCoefficient[1/(1-x)^n*Product[1/(1-x^k), {k, 1, n}], {x, 0, n}], {n, 0, 30}]

%Y Cf. A000041, A001700, A014329, A292463.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Sep 20 2017

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 18 19:56 EDT 2019. Contains 321293 sequences. (Running on oeis4.)