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A259902
n*a(n+1) = (2*n^2+3n-1)*a(n)-(n^2-n-2)*a(n-1); a(0)=0, a(1)=1.
0
0, 1, 4, 26, 220, 2300, 28648, 414212, 6818728, 125907560, 2577034480, 57906103064, 1417086592336, 37515931327184, 1068289141830880, 32558309340991280, 1057440044863257952, 36460006715962829408, 1330080906206563365952, 51183492956063789966240
OFFSET
0,3
FORMULA
a(n) ~ exp(1/4) * 2^(n+4) * n! * n^(1/4) / (15*Gamma(1/4)). - Vaclav Kotesovec, Jul 09 2015
MATHEMATICA
RecurrenceTable[{a[0]==0, a[1]==1, (n)*a[n+1]== (2n^2 +3*n-1)*a[n] - (n+1)*(n-2)*a[n-1]}, a, {n, 30}]
CROSSREFS
Sequence in context: A187826 A145347 A219780 * A089816 A371539 A245768
KEYWORD
nonn,easy
AUTHOR
G. C. Greubel, Jul 07 2015
STATUS
approved