A104100 Expansion of g.f. x*(-20-37*x+3*x^2)/(-1+x+19*x^2+10*x^3+x^4).

0, 20, 57, 434, 1717, 10553, 47573, 265684, 1276818, 6811097, 33775052, 176219759, 887333535, 4580070573, 23235380380, 119306276376, 607466542861, 3111219668378, 15869382126877, 81176527531045, 414414451168349

Offset

0,2

Links

Table of n, a(n) for n=0..20.

Formula

a(n) = a(n-1) + 19*a(n-2) + 10*a(n-3) + a(n-4) for n>=4.

O.g.f.: x*(-20-37*x+3*x^2)/(-1+x+19*x^2+10*x^3+x^4). - R. J. Mathar, Dec 05 2007

Maple

a[0]:=0:a[1]:=20:a[2]:=57:a[3]:=434: for n from 4 to 22 do a[n]:=a[n-1]+19*a[n-2]+10*a[n-3]+a[n-4] od: seq(a[n], n=0..22);

Crossrefs

Sequence in context: A012483 A051872 A297397 * A069132 A124713 A126374

Adjacent sequences: A104097 A104098 A104099 * A104101 A104102 A104103

Keyword

nonn,easy

Author

Roger L. Bagula, Mar 31 2005

Extensions

Edited by N. J. A. Sloane, May 20 2006

New name using g.f. from Joerg Arndt, Sep 01 2024

Status

approved