cp's OEIS Frontend

Sixth diagonal of array defined by T(i, 1)=T(1, j)=1, T(i, j)=Max(T(i-1, j)+T(i-1, j-1); T(i-1, j-1)+T(i, j-1)) - Benoit Cloitre, Aug 05 2003

G.f.: x^2/[(1-3x+x^2)(1-x)^4].

a(n) = Sum_{k=0..n}(binomial(n+3,k+4)*Fibonacci(k)). - Vladimir Kruchinin, Oct 24 2016

G.f.: x^3/((1-3*x+x^2)*(1-x)^6).

a(3)=1, a(4)=9, a(5)=47, a(6)=188, a(7)=643, a(8)=1993, a(9)=5798, a(10)=16193, a(n) = 9*a(n-1)-34*a(n-2)+71*a(n-3)-90*a(n-4)+71*a(n-5)-34*a(n-6)+9*a(n-7)-a(n-8). - Harvey P. Dale, Jan 06 2012

G.f.: x^4/[(1-3x+x^2)(1-x)^8].

G.f.: (g-1)/((3*g-1)*(g^2-3*g+1)) where g*(1-g)^2 = x. - Mark van Hoeij, Nov 10 2011