-1328

Appears in sequences

• Expansion of (1-x)/(1-2*x+2*x^2+2*x^3).at n=13A078005
• G.f.: A(x) = Product_{n>=1} [ (1-x)^4*(1 + 4x + 10x^2 +...+ n(n+1)(n+2)/3!*x^(n-1)) ].at n=6A129357
• Sign weighted matrices n X n:example {{2 w[2], w[0], w[1]}, {3 w[0], 2 w[1], w[2]}, {3 w[1], 3 w[2], 2 w[0]}} are made into monomials using w[n]=1 if n<>0, x if n==0. The coefficients of the monomials form a triangular sequence.at n=23A140326
• Triangle T(n,k): the coefficient of [t^n] [x^k] of 2^(n+5) *n! *exp(t*(1+t)*x) / (3+exp(t*(1+t))).at n=11A178603
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j) = gcd(prime(i), prime(j)) (A204118).at n=32A204119
• Denominator sequence of the n-th convergent of the continued fraction 1/(1 - 2/(2 - 2/(3 - 2/(4 - ...)))).at n=7A222469
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 179", based on the 5-celled von Neumann neighborhood.at n=21A270625
• Exponential self-convolution of this sequence gives central binomial coefficients (A000984).at n=9A277339
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(-k*x/(1 - x))/(1 - x).at n=61A295381
• Determinant of the 3 X 3 Hankel matrix of consecutive primes starting at prime(n).at n=34A392522