A061320 Column 4 of A061314.

0, 5, 140, 6080, 186620, 3504380, 43599605, 392515340, 2738219580, 15571795365, 74962059260, 314303754380, 1173239918240, 3966582090380, 12313551210485, 35488970536640, 95826048090080, 244240228906965, 591327577603980, 1367189227172480, 3032433080571020

Offset: 0

Author

Henry Bottomley, Apr 24 2001

Keywords

• nonn
• easy

Crossrefs

Cf. A061314, A061318, A061319, A061321.

Formula

a(n) = A061318(n) + A061319(n)^2 = 5*A061321(n).

G.f.: -5*x*(1 +11*x +876*x^2 +19780*x^3 +215084*x^4 +1114665*x^5 +2936419*x^6 +4038928*x^7 +2936419*x^8 +1114665*x^9 +215084*x^10 +19780*x^11 +876*x^12 +11*x^13+x^14) / (x-1)^17. - R. J. Mathar, Aug 11 2012

a(n) = n *(n+1) *(n^8+4*n^7+14*n^6+28*n^5+77*n^4+112*n^3+196*n^2+144*n+2304) *(n^2+n+4) * (n^4+2*n^3+5*n^2+4*n+36)/331776. - R. J. Mathar, Aug 11 2012