A048112 a(1) = 1, a(2) = 1, a(3) = 1, a(n) = a(n-3) * (a(n-2) + a(n-1)).

1, 1, 1, 2, 3, 5, 16, 63, 395, 7328, 486549, 195081415, 1433122040192, 697379012200764243, 136045964066902820948075525, 194970470582876525091946983913863955456

Offset: 1

Author

David Johnson-Davies

Keywords

• nonn
• easy

Crossrefs

Cf. A048122.

Programs

Mathematica

RecurrenceTable[{a[1]==a[2]==a[3]==1,a[n]==a[n-3] (a[n-2]+a[n-1])},a,{n,20}] (* Harvey P. Dale, Jan 14 2012 *)
nxt[{a_,b_,c_}]:={b,c,a(b+c)}; NestList[nxt,{1,1,1},20][[;;,1]] (* Harvey P. Dale, Jul 14 2024 *)

Extensions

More terms from Patrick De Geest, Jun 15 1999