-519

Appears in sequences

• Shifts left two places under BIN1 transform.at n=13A052341
• Expansion of e.g.f.: 1/(exp(x) - x).at n=7A089148
• Coefficients of the C-Rogers-Selberg identity.at n=45A104410
• a(n) = a(n-1) - 2*a(n-2) - 3*a(n-3) - ... - (n-1)*a(1), with a(1) = a(2) = 1, a(3) = -1.at n=10A106540
• a(1) = 1; a(2) = 1; a(3) = 1; a(4) = 1; a(5) = 1; a(n) = a(n-1)+4a(n-2)-3a(n-3)-3a(n-4)+a(n-5) for n >= 6.at n=13A122608
• Triangle read by rows: T(r,c)=T(r,c-1)+T(r,c+1)+T(r-1,c-1).at n=51A129396
• Triangle read by rows: T(r,c)=T(r,c-1)+T(r,c+1)+T(r-1,c-1).at n=61A129396
• Triangle T(n,k) read by rows: coefficient of [x^k] of the polynomial p_n(x)=(5-x)*p_{n-1}(x)-p_{n-2}(x), p_0=1, p_1=5-x.at n=33A179900
• G.f.: x^((k^2+k)/2)/(mul(1-x^i,i=1..k)*mul(1+x^r,r=1..oo)) with k = 3.at n=69A246582
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 169", based on the 5-celled von Neumann neighborhood.at n=19A270464
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 233", based on the 5-celled von Neumann neighborhood.at n=17A270979
• a(1) = 1; a(n) = -Sum_{k=2..n} k^2 * a(floor(n/k)).at n=19A360390
• a(n) = Sum_{k=1..n} (-1)^(k-1) * binomial(k+1,2) * floor(n/k).at n=39A366937