-777

Appears in sequences

• Expansion of Product_{n>=1} (1 - x^n)^7.at n=45A000730
• Floor of expansion (1+Pi*x)^e.at n=14A109271
• Sequence is {a(3,n)}, where a(m,n) is defined at sequence A110665.at n=40A110668
• Expansion of (1+x)*(1-x)/(1 - x + x^2 + x^3).at n=22A180735
• Triangle read by rows: T(n,k) appears in the transformation Sum_{k=0..n} (k+1)*x^k = Sum_{k=0..n} T(n,k)*(x+2k)^k.at n=34A253381
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 99", based on the 5-celled von Neumann neighborhood.at n=15A270159
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 211", based on the 5-celled von Neumann neighborhood.at n=15A270900
• G.f. A(x) satisfies: (1 - x) = A(x)*A(x^2)^2*A(x^3)^3*A(x^4)^4* ... *A(x^k)^k* ...at n=29A307656
• Expansion of Product_{k>0} 1/(Sum_{m>=0} x^(k*m^2)).at n=33A320119