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A158802 Recursive sequence as solution to a differential equation: a(n)=((n - 1)*(n - 3)*a(n - 1) - a(n - 2) + a(n - 3))/(n*(n - 1)) 0
0, 1, -4, 0, 16, 10, 12, 182, 1120, 7452, 58640, 520784, 5142144, 55929640, 664505744, 8562670920, 118939979008, 1771631324848, 28168269788160, 476151820931168, 8526830353553920, 161255217263900256 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

Martin Braun,Differential Equations and Their Applications : An Introduction to Applied Mathematics (Texts in Applied Mathematics, Vol. 11),Springer,1992,page283, Example 5.

LINKS

Table of n, a(n) for n=0..21.

FORMULA

a(n)=((n - 1)*(n - 3)*a(n - 1) - a(n - 2) + a(n - 3))/(n*(n - 1));

out_(n)=n*n!*a(n)

MATHEMATICA

Clear[a, n];

a[0] = 1; a[1] = 1; a[2] = -1;

a[n_] := a[n] = ((n - 1)*(n - 3)*a[n - 1] - a[n - 2] + a[n - 3])/(n*(n - 1));

Table[n*n!*a[n], {n, 0, 30}]

CROSSREFS

Sequence in context: A167314 A208451 A207541 * A230280 A030212 A167359

Adjacent sequences:  A158799 A158800 A158801 * A158803 A158804 A158805

KEYWORD

sign,uned

AUTHOR

Roger L. Bagula, Mar 27 2009

STATUS

approved

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Last modified July 29 17:41 EDT 2021. Contains 346346 sequences. (Running on oeis4.)