login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A282292 Coefficients in q-expansion of E_10^2, where E_10 is the Eisenstein series A013974. 9

%I

%S 1,-528,-201168,61114944,20946935856,1443146395680,46053422547264,

%T 861726789128832,10894843149545520,102119072037503664,

%U 755968133350219680,4623420033182073024,24151660069581371712,110516194189880866464,451789196756619249792

%N Coefficients in q-expansion of E_10^2, where E_10 is the Eisenstein series A013974.

%H Seiichi Manyama, <a href="/A282292/b282292.txt">Table of n, a(n) for n = 0..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/EisensteinSeries.html">Eisenstein Series.</a>

%t terms = 15;

%t E10[x_] = 1 - 264*Sum[k^9*x^k/(1 - x^k), {k, 1, terms}];

%t E10[x]^2 + O[x]^terms // CoefficientList[#, x]& (* _Jean-Fran├žois Alcover_, Feb 23 2018 *)

%Y Cf. A281374 (E_2^2), A008410 (E_4^2), A280869 (E_6^2), A282012 (E_8^2), this sequence (E_10^2).

%K sign

%O 0,2

%A _Seiichi Manyama_, Feb 11 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 November 23 17:26 EST 2020. Contains 338595 sequences. (Running on oeis4.)