A203761 a(n)=f(a(n-1)+1,a(n-2),a(n-3)), where f(x,y,z)=yz+zx+xy and a(1)=0, a(2)=0, a(3)=1.

0, 0, 1, 0, 1, 2, 3, 14, 81, 1436, 137649, 208931366, 29059416843159, 6075423684633064285934, 176549538697128711514244195056431069, 1072613254042004122844787854494321338954112455109333945016

Offset: 1

Author

Clark Kimberling, Jan 07 2012

Keywords

• nonn

Comments

Sequences generated by similar recurrences and same initial values:

A203761......f(a(n-1)+1,a(n-2),a(n-3))

A203762......f(a(n-1),a(n-2)+1,a(n-3))

A203768......f(a(n-1),a(n-2),a(n-3)+1)

A203772......f(a(n-1),a(n-2)+1,a(n-3)+1)

A203900......f(a(n-1)+1,a(n-2),a(n-3)+1)

A203901......f(a(n-1)+1,a(n-2)+1,a(n-3))

A203902......f(a(n-1)+1,a(n-2)+1,a(n-3)+1)

Related sequences:

A121810 ... f(a(n-1),a(n-2),a(n-3)); a=(1,1,0,...). - M. F. Hasler, Jan 01 2013

Crossrefs

Cf. A203902.

Programs

Mathematica

a[1] = 0; a[2] = 0; a[3] = 1;
a[n_] := SymmetricPolynomial[2, {1 + a[n - 1], a[n - 2], a[n - 3]}]
Table[a[n], {n, 1, 16}]  (* A203761 *)