login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A109413 a(n) equals the (n*(n+1)/2)-th partial sum of the self-convolution of A010054, which has the g.f.: Sum_{n>=0} x^(n*(n+1)/2). 2

%I #3 Mar 30 2012 18:36:49

%S 1,3,6,11,17,24,35,45,58,71,87,106,123,144,164,189,216,240,269,298,

%T 329,365,396,437,471,510,551,591,642,683,730,778,827,882,932,987,1048,

%U 1105,1165,1220,1289,1355,1418,1485,1549,1626,1699,1772,1846,1923,2002,2080

%N a(n) equals the (n*(n+1)/2)-th partial sum of the self-convolution of A010054, which has the g.f.: Sum_{n>=0} x^(n*(n+1)/2).

%F a(n) = [x^(n*(n+1)/2)] [Sum_{k>=0} x^(k*(k+1)/2)]^2/(1-x).

%o (PARI) {a(n)=local(X=x+x*O(x^(n*(n+1)/2))); polcoeff((eta(X^2)^2/eta(X))^2/(1-X),n*(n+1)/2)}

%Y Cf. A109414, A109415, A010054.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Jun 27 2005

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)