-1905
domain: Z
Appears in sequences
- Expansion of e.g.f. arcsinh(arctan(x) + log(x+1)).at n=6A012966
- Expansion of e.g.f. arcsinh(tanh(x) + log(x+1)).at n=6A013124
- Triangle read by rows: T(n,0) = n+1, T(n,k) = 2*T(n-1,k) - T(n-1,k-1), T(n,k) = 0 if k > n and if k < 0.at n=50A159856
- Riordan array T((1-x)^(-2) | 2x-1) read by rows.at n=40A181690
- Alternating sum of 11-gonal (or hendecagonal) numbers.at n=29A266087
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 483", based on the 5-celled von Neumann neighborhood.at n=33A272346
- G.f.: Sum_{n=-oo..+oo} x^(n*(n+1)/2) * C(x)^(3*n-3), where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).at n=24A355348