-1568

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=21A001486
• E.g.f.: log(cosh(x)+arctan(x))=x-3/3!*x^3+12/4!*x^4-7/5!*x^5-168/6!*x^6...at n=8A013188
• Reversion of sequence of involutions (A000085).at n=7A050397
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 9.at n=39A060028
• Square root of weight enumerator of binary (16,256,6) nonlinear Nordstrom-Robinson code.at n=6A109737
• a(n) = -n^2 - n + 72.at n=40A110678
• Triangle read by rows: T satisfies the matrix products: C*T*C = T^-1 and T*C*T = C^-1, where C is Pascal's triangle.at n=50A118800
• Square table, read by antidiagonals, of coefficients of x^k in the n-th self-composition of the g.f. of A120009, so that: T(n,k) = [x^k] { (x-x^2) o x/(1-n*x) o (1-sqrt(1-4*x))/2 } for n>=1, k>=1.at n=51A120013
• Coefficient table for Chebyshev polynomials T(2*n,x) (increasing even powers x, without zeros).at n=30A127674
• A triangular sequence of coefficients of even plus odd Chebyshev polynomials, A053120: q(x,n) = T(x,2*n-1)+T(x,2*n).at n=54A137307
• E.g.f. sec(log(1+tanh(x))).at n=7A168468
• Triangle T(n,k) which contains 16*n!*2^floor((n+1)/2) times the coefficient [t^n x^k] exp(t*x)/(15 + exp(8*t)) in row n, column k.at n=42A171685
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 225", based on the 5-celled von Neumann neighborhood.at n=29A270945
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 459", based on the 5-celled von Neumann neighborhood.at n=27A272290
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 662", based on the 5-celled von Neumann neighborhood.at n=41A273391
• G.f.: Sum_{n>=0} x^n * (1 + x^n)^n / (1 + x^(n+1))^(n+1).at n=33A323557
• a(n) = Sum_{d|n} (-1)^(n/d-1) * binomial(d+n/d-1, d).at n=39A344777
• a(1) = 1; a(n) = n^2 * Sum_{d|n, d < n} (-1)^(n/d) a(d) / d^2.at n=27A361987
• A377091(k) for k in A379802.at n=24A379803