A294445 a(n) = (2*n + 4)!*(n^2 + 11*n + 2)/(2*(n-1)!*(n+6)!).

1, 14, 110, 682, 3731, 18928, 91392, 426360, 1939938, 8662214, 38119510, 165828390, 714707175, 3056887680, 12991772640, 54919766160, 231102342990, 968661801900, 4046295064812, 16851791934516, 69999056422526, 290085110464864, 1199652675300800, 4951946963738320, 20406434266878660

Offset

1,2

Links

Robert Israel, Table of n, a(n) for n = 1..1655

M. Bauer and O. Golinelli, Random incidence matrices: Moments of the spectral density, arXiv:cond-mat/0007127 [cond-mat.stat-mech], 2000-2001; J. Stat. Phys. 103, 301-307 (2001). See Sect. 5.6.

Formula

From Robert Israel, Nov 20 2017: (Start)

G.f.: 128*x*(-22*x^2+sqrt(-4*x+1)+2*x+1)/((1+sqrt(-4*x+1))^8*(-4*x+1)^(3/2)).

(220+88*n)*a(n)+(-3248-734*n)*a(n+1)+(7030+1150*n)*a(n+2)+(-5606-731*n)*a(n+3)+(2068+226*n)*a(n+4)+(-360-34*n)*a(n+5)+(24+2*n)*a(n+6) = 0. (End)

Maple

seq( (2*n+4)!*(n^2+11*n+2)/(2*(n-1)!*(n+6)!), n=1..30); # Robert Israel, Nov 20 2017

Crossrefs

Sequence in context: A349296 A205493 A074886 * A036395 A271561 A215868

Adjacent sequences: A294442 A294443 A294444 * A294446 A294447 A294448

Keyword

nonn

Author

N. J. A. Sloane, Nov 20 2017

Status

approved