-920

Appears in sequences

• exp(arcsinh(x)+arctan(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-55/5!*x^5...at n=8A013103
• cosh(arcsinh(x)+arctan(x))=1+4/2!*x^2-8/4!*x^4+70/6!*x^6-920/8!*x^8...at n=4A013112
• Expansion of e.g.f. log(sech(x) + arcsin(x)).at n=6A013203
• Inverse of Riordan array (1/(1-x)^2,x(1-x)/(1+x)), A104698.at n=51A110271
• a(n) = -n^2 - n + 72.at n=31A110678
• Determinant of n X n matrix containing the first n^2 3-almost primes in increasing order.at n=4A118772
• A triangle sequence of coefficients of polynomials with roots that are inverse primes: a(n)=Prime[n](a(n-1); p(x,n)=If[n == 0, 1, a[n - 1]*(x - a[n - 1])*Product[x + 1/Prime[i], {i, 1, n - 1}]]. (Correction to previous submission).at n=12A144456
• Riordan array (1/(1-x^2), x/(1+x)^2).at n=49A158454
• Totally multiplicative sequence with a(p) = p*(p-3) = p^2-3p for prime p.at n=45A167341
• Years in which a transit of Venus (as seen from Earth) took place or is expected to occur, according to the catalog by Fred Espenak.at n=17A171467
• Coefficient array for square of Chebyshev S-polynomials.at n=44A181878
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of A203905.at n=49A203906
• Define a square array B(m,n) (m>=0, n>=0) by B(n, n) = A212196(n)/A181131(n), B(n, n+1) = -A212196(n)/A181131(n), B(m, n) = B(m, n-1) + B(m+1, n-1); a(n) = numerator of B(0,n).at n=12A240776
• Expansion of f(-x^2)^5 * f(-x^12)^3 / (f(x)^2 * f(-x^8)^6) in powers of x where f() is a Ramanujan theta function.at n=33A262162
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 155", based on the 5-celled von Neumann neighborhood.at n=17A270328
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 318", based on the 5-celled von Neumann neighborhood.at n=48A271253
• G.f. satisfies A(x) = 1 + x/(1 + x^3)^2 * A(x/(1 + x^3)).at n=16A360900
• G.f. satisfies A(x) = exp( 3 * Sum_{k>=1} A(-x^k) * x^k/k ).at n=6A363471