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A259905
n*a(n+1) = (2*n^2+2n-1)*a(n)+(n+1)*a(n-1); a(0)=1, a(1)=2.
0
1, 2, 8, 47, 371, 3676, 43822, 610493, 9730757, 174624086, 3483890996, 76489299307, 1832590219063, 47577493251632, 1330483562569946, 39870448222541561, 1274615495706568457, 43299625736778117418, 1557589082593773410272, 59147557572252556858151
OFFSET
0,2
FORMULA
a(n) ~ (BesselI(0,1) + BesselI(1,1)) * 2^(n-1) * n!. - Vaclav Kotesovec, Jul 09 2015
MATHEMATICA
RecurrenceTable[{a[0]==1, a[1]==2, (n)*a[n+1]== (2n^2 +2*n-1)*a[n] + (n+1)*a[n-1]}, a, {n, 30}]
CROSSREFS
Sequence in context: A317366 A009566 A349588 * A329096 A233337 A199136
KEYWORD
nonn,easy
AUTHOR
G. C. Greubel, Jul 07 2015
STATUS
approved