42865

Appears in sequences

• Triangle read by rows, related to number of permutations of [n] with 0 successions and k rises.at n=39A046739
• Triangle read by rows, related to number of permutations of [n] with 0 successions and k rises.at n=43A046739
• Third diagonal of triangle in A046739.at n=6A070315
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 0, 1), (0, 1, -1), (1, -1, 1)}.at n=11A148153
• Triangle read by rows: expansion of e.g.f. (1 - x)/(exp(t)*(1 - x*exp(t*(1 - x)))).at n=59A168423
• Triangle read by rows: expansion of e.g.f. (1 - x)/(exp(t)*(1 - x*exp(t*(1 - x)))).at n=63A168423
• G.f.: A(x,y) = exp( Sum_{n>=1} [Sum_{k=0..n} C(n,k)^4*y^k] * x^n/n ) = Sum_{n>=0,k=0..n} T(n,k)*x^n*y^k, as a triangle of coefficients T(n,k) read by rows.at n=30A181144
• G.f.: A(x,y) = exp( Sum_{n>=1} [Sum_{k=0..n} C(n,k)^4*y^k] * x^n/n ) = Sum_{n>=0,k=0..n} T(n,k)*x^n*y^k, as a triangle of coefficients T(n,k) read by rows.at n=33A181144
• Triangle read by rows, T(n,k) = Sum_{j=0..n} C(-j-1,-n-1)*E1(j,k), E1 the Eulerian numbers A173018, for n>=0 and 0<=k<=n.at n=58A271697
• Triangle read by rows, T(n,k) = Sum_{j=0..n} C(-j-1,-n-1)*E1(j,k), E1 the Eulerian numbers A173018, for n>=0 and 0<=k<=n.at n=62A271697