-1176

Appears in sequences

• Glaisher's function H'(4n+1) (18 squares version).at n=12A002610
• exp(arcsin(x)-tanh(x))=1+3/3!*x^3-7/5!*x^5+90/6!*x^6+497/7!*x^7...at n=8A013421
• cosh(arcsin(x)-tanh(x))=1+90/6!*x^6-1176/8!*x^8+185094/10!*x^10...at n=4A013427
• sec(arcsin(x)-tanh(x))=1+90/6!*x^6-1176/8!*x^8+185094/10!*x^10...at n=4A013428
• Coefficient triangle of generalized Laguerre polynomials (a=1).at n=33A066667
• Triangle of coefficients, read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x) - x^2/(1-x)^2 + xy*f(x,y)^2.at n=49A086610
• Ooguri-Vafa invariants of disk degeneracies for brane III in the O(K) -> P^1 x P^1 geometry.at n=3A092705
• Triangle T(n,k) read by rows: consider the sequence a(m) = a(m-1) + sum_{0<j<=m/n} a(m-j*n) with a(0)=1. Row n of T(n,k) is formed by the coefficients of the recurrence relation of sequence b(i) = a(n*i).at n=39A113445
• Triangle of Hankel transforms of binomial(n+k, k).at n=30A120247
• Triangle T(n,k), 0<=k<=n, read by rows given by [ -1,1,-1,1,-1,1,-1,1,-1,1,...] DELTA [1,-1,1,-1,1,-1,1,-1,1,-1,...] where DELTA is the operator defined in A084938.at n=51A123254
• Irregular triangle read by rows: T(n,k) (n>=1, 0<=k<=n(n-1)/2) is such that Sum_k T(n,k)*p^(n*(n-1)/2-k) gives the expectation of the number of connected components after deleting every edge of the complete graph on n labeled vertices with probability p.at n=66A125209
• A007318^(-1) * A132814.at n=51A132815
• Triangle read by rows: expansion of Q(y, n), where Q(y,0)=1; Q(y,1)=y; Q(y, n) = -(-2 + 2*(1 - y) - 2*(1 - y)*Q(y, n - 1) + Q(y, n - 2)).at n=38A136202
• a(n) = 13 + 12*n - n^2.at n=41A136316
• First differences of A046163.at n=41A153171
• Coefficients in the expansion of B^7/C, in Watson's notation of page 118.at n=39A160534
• 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=33A171685
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202676 based on (1,4,7,10,13,...); by antidiagonals.at n=25A202677
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j) = gcd(i+1, j+1) (A204030).at n=23A204111
• G.f.: Sum_{n>=0} x^n/(1 + x^n)^n.at n=56A217670