A259903 n*a(n+1) = (2*n^2+3*n-1)*a(n)-(n^2-n-2)*a(n-1); a(0)=1, a(1)=3.

1, 3, 14, 91, 770, 8050, 100268, 1449742, 23865548, 440676460, 9019620680, 202671360724, 4959803073176, 131305759645144, 3739011996408080, 113954082693469480, 3701040157021402832, 127610023505869902928, 4655283171722971780832, 179142225346223264881840

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Formula

a(n) ~ 7 * exp(1/4) * 2^(n+3) * n! * n^(1/4) / (15*Gamma(1/4)). - Vaclav Kotesovec, Jul 09 2015

Mathematica

RecurrenceTable[{a[0]==1, a[1]==3, (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: A120056 A125788 A183611 * A101220 A078456 A195134

Adjacent sequences: A259900 A259901 A259902 * A259904 A259905 A259906

Keyword

nonn,easy

Author

G. C. Greubel, Jul 07 2015

Status

approved