login
A259904
n*a(n+1) = (2*n^2+2n-1)*a(n)+(n+1)*a(n-1); a(0)=0, a(1)=1.
0
0, 1, 3, 18, 142, 1407, 16773, 233668, 3724476, 66837885, 1333469575, 29276505366, 701429322378, 18210426152443, 509246515680777, 15260531890180872, 487862847976502008, 16573059718335854073, 596171824656869639691, 22638902465293908063130
OFFSET
0,3
FORMULA
a(n) ~ (BesselI(0,1) - BesselI(1,1)) * 2^(n-1) * n!. - Vaclav Kotesovec, Jul 09 2015
MATHEMATICA
RecurrenceTable[{a[0]==0, a[1]==1, (n)*a[n+1]== (2n^2 +2*n-1)*a[n] + (n+1)*a[n-1]}, a, {n, 30}]
CROSSREFS
Sequence in context: A325996 A364417 A212030 * A107708 A224992 A289428
KEYWORD
nonn,easy
AUTHOR
G. C. Greubel, Jul 07 2015
STATUS
approved