-5082

Appears in sequences

• cosh(tanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+19/4!*x^4-140/5!*x^5...at n=7A013126
• Triangle of coefficients of certain polynomials used with prime numbers as variables in the computation of the array A103728.at n=41A103718
• The triangular sequence of symmetrical Lah numbers (A111596, A008297) : L(n, m) = (-1)^n* binomial(n,k)*binomial(n-1, k-1)*( (n-k)! + (n-k)*(k-1)! ), with L(0,0) = 2, L(n,0) = L(n,n) = (-1)^n.at n=29A156786
• The triangular sequence of symmetrical Lah numbers (A111596, A008297) : L(n, m) = (-1)^n* binomial(n,k)*binomial(n-1, k-1)*( (n-k)! + (n-k)*(k-1)! ), with L(0,0) = 2, L(n,0) = L(n,n) = (-1)^n.at n=34A156786
• Irregular triangle T(n, k) = ((-1)^(k+1)/2)*Sum_{j=0..n-2*k} binomial(n+2, j)*binomial(n+2, j+k+1)* binomial(n+2, j+2*k+2), read by rows.at n=29A158193
• Stirling-like triangle by rows generated from (x-1)*(x-1)*(x-2)*(x-3)*(x-4)*...at n=48A158471
• Triangle T(n,k), n>=1, 0<=k<=n^2, read by rows: row n gives the coefficients of the chromatic polynomial of the square diagonal grid graph DG_(n,n), highest powers first.at n=12A212208
• Expansion of phi(-x^9) * f(-x^3)^2 / f(-x^2)^3 in powers of x where f(), phi() are Ramanujan theta functions.at n=23A298733