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A259906
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, 5, 34, 290, 3015, 37131, 529540, 8590724, 156302605, 3152964305, 69852444006, 1686248475750, 44058654556819, 1238847414761495, 37301117245210120, 1197443930238816776, 40827566310832732185, 1473461890546162560669, 56116506599112620887210
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: A289147 A284864 A208677 * A355258 A334066 A330649
KEYWORD
nonn,easy
AUTHOR
G. C. Greubel, Jul 07 2015
STATUS
approved