-267

Appears in sequences

• Expansion of e.g.f. exp(1-x-exp(-x)).at n=8A014182
• Determinant of the n X n Hankel matrix whose entries are s_2 (i+j), 0 <= i, j < n, where s_2 is the sum of the base-2 bits.at n=24A056886
• Expansion of (1-x)/(1+x^2+x^3).at n=35A078032
• Expansion of (1-x)/(1+2*x+x^2-x^3).at n=15A078064
• Matrix square of inverse triangle A096651; transforms n-dimensional partitions into (n-2)-dimensional partitions.at n=48A096875
• a(n) = -a(n-1) -a(n-2) -a(n-3) +a(n-4), a(0)=0, a(1)=1, a(2)=-1, a(3)=0.at n=26A100329
• This table (read by rows) shows the coefficients of sum formulas of n-th subfactorial numbers (A000166). The n-th row (n>=1) contains T(i,n) for i=1 to n, where T(i,n) satisfies Subf(n) = Sum_{i=1..n} T(i,n) * n^(n-i).at n=18A101559
• Coefficients of the C-Bailey Mod 9 identity.at n=52A104469
• a(n) = Sum_{k=0..n} A105595(k)*(-1)^k*A105595(n-k) (interpolated zeros suppressed).at n=22A105596
• a(n) = Sum_{k=0..n} A105595(k)*(-1)^k*A105595(n-k) (interpolated zeros suppressed).at n=23A105596
• Triangle of coefficients of (1 - x)^n*B_n(x/(1 - x)), where B_n(x) is the n-th Bell polynomial.at n=53A122753
• Alternating ones and twos tridiagonal matrices ( columns of 1's and twos) to give a triangular sequence: m(n,m,d)=If[ n == m, 1 + (1 - (-1)^(n + 1))/2, If[n == m - 1 || n == m + 1, 1 + (1 - (-1)^n)/2, 0]].at n=49A124036
• Eigentriangle of (A007318)^(-1); row sums = A014182, exp(1-x-exp(-x)).at n=54A143987
• Triangle by rows relating to the Rao Uppulari-Carpenter sequence A000587.at n=54A212248
• a(n) = 3^(-1-floor(n/3))*A215829(n).at n=5A215831
• Complementary Aitken's array: triangle of numbers {a(n,k), n >= 0, 0<=k<=n} read by rows, defined by a(0,0)=1, a(n,0)=-a(n-1,n-1), a(n,k)=a(n,k-1)+a(n-1,k-1).at n=44A247108
• Table read by rows: row n contains the partial sums of the wrecker ball sequences starting with n, cf. A248939.at n=60A248973
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 205", based on the 5-celled von Neumann neighborhood.at n=9A270732
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 305", based on the 5-celled von Neumann neighborhood.at n=9A271163
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 425", based on the 5-celled von Neumann neighborhood.at n=11A272092