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, 1, 4, 26, 220, 2300, 28648, 414212, 6818728, 125907560, 2577034480, 57906103064, 1417086592336, 37515931327184, 1068289141830880, 32558309340991280, 1057440044863257952, 36460006715962829408, 1330080906206563365952, 51183492956063789966240

Offset

0,3

Links

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

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

Adjacent sequences: A259899 A259900 A259901 * A259903 A259904 A259905

Keyword

nonn,easy

Author

G. C. Greubel, Jul 07 2015

Status

approved