cp's OEIS Frontend

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.

A227313 Sum of squared terms in rows of triangle A227311.

Original entry on oeis.org

4, 16, 64, 320, 1424, 6400, 28928, 131328, 599428, 2746176, 12627520, 58237952, 269284240, 1247921152, 5794490624, 26952340480, 125559053904, 585733448080, 2735853906496, 12793091964160, 59883014554112, 280568427766016, 1315670787139840, 6174463935221760, 28998036439469524, 136279914514165568, 640867368366269056
Offset: 1

Views

Author

Paul D. Hanna, Jul 06 2013

Keywords

Examples

			L.g.f.: L(x) = 4*x + 16*x^2/2 + 64*x^3/3 + 320*x^4/4 + 1424*x^5/5 + 6400*x^6/6 +...
where
exp(L(x)) = 1 + 4*x + 16*x^2 + 64*x^3 + 272*x^4 + 1168*x^5 + 5056*x^6 + 22016*x^7 +...
		

Crossrefs

Cf. A227311.

Programs

  • PARI
    {A227311(n,k)=n*polcoeff(polcoeff(log(1 + 2*sum(m=1,sqrtint(n),y^m*x^(m^2))+x*O(x^n)),n,x),k,y)}
    {a(n)=sum(k=1,n,A227311(n,k)^2)}
    for(n=1, 36, print1(a(n), ", "))