This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A092343 #18 Dec 12 2023 05:41:29 %S A092343 9,126,585,1332,3096,4914,9198,12168,19782,24390,37449,43344,61740, %T A092343 68922,97236,103824,141759,148878,201240,205380,268128,276948,358722, %U A092343 357912,455886,458208,589806,571788,715572,704970,888264,864360,1061937,1030302,1285830 %N A092343 a(n) = sigma_3(3n+2). %F A092343 Expansion of q^(-2/3) * (a(q) * c(q))^2 in powers of q where a(), c() are cubic AGM theta functions. - _Michael Somos_, May 30 2012 %F A092343 Convolution square of A144614. - _Michael Somos_, May 30 2012 %F A092343 Sum_{k=0..n} a(k) ~ (20*zeta(4)/3) * n^4. - _Amiram Eldar_, Dec 12 2023 %e A092343 G.f. = 9 + 126*x + 585*x^2 + 1332*x^3 + 3096*x^4 + 4914*x^5 + 9198*x^6 + 12168*x^7 + ... %e A092343 G.f. = 9*q^2 + 126*q^5 + 585*q^8 + 1332*q^11 + 3096*q^14 + 4914*q^17 + 9198*q^20 + ... %t A092343 Table[DivisorSigma[3,3n+2],{n,0,40}] (* _Harvey P. Dale_, Jul 02 2011 *) %o A092343 (PARI) {a(n) = if( n<0, 0, sigma( 3*n + 2, 3))}; /* _Michael Somos_, May 30 2012 */ %Y A092343 Trisection of A001158. %Y A092343 Cf. A013662, A045823, A091986, A092341, A092342, A144614. %K A092343 nonn,easy %O A092343 0,1 %A A092343 _N. J. A. Sloane_, Mar 20 2004