-406

Appears in sequences

• Expansion of e.g.f.: cos(log(1 + sinh(x))).at n=6A009020
• Coefficients of the '6th-order' mock theta function psi(q).at n=52A053269
• 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+x) - x^2*(1+x)^2 + xy*f(x,y)^2.at n=49A086612
• a(n) = -a(n-2) - a(n-3).at n=30A112455
• Matrix inverse of triangle A122175, where A122175(n,k) = C( k*(k+1)/2 + n-k, n-k) for n>=k>=0.at n=24A121435
• Matrix inverse of triangle A121334, where A121334(n,k) = C( n*(n+1)/2 + n-k, n-k) for n>=k>=0.at n=31A121439
• Matrix inverse of triangle A121334, where A121334(n,k) = C( n*(n+1)/2 + n-k, n-k) for n>=k>=0.at n=32A121439
• a(n) = 3*a(n-1) - a(n-3) for n>2, with a(0)=1, a(1)=-1, a(2)=0.at n=9A122100
• Hankel transform of A145062.at n=54A145063
• Triangle T(n, k, q) = e(n, k, q) + e(n, n-k+1, q), where e(n, k, q) = ((1 - (-q)^k)/(1 + q))*e(n-1, k, q) + (-q)^(k-1)*e(n-1, k-1, q), e(n, 0, q) = e(n, n, q) = 1, and q = 3, read by rows.at n=12A156538
• Coefficients in the expansion of B^7/C, in Watson's notation of page 118.at n=29A160534
• Deleham triangle [1,1,-1,1,1,-1,1,...] DELTA [1,0,0,1,0,0,1,0,...], DELTA defined in A084938.at n=59A174014
• E.g.f. arctan(log(1+tanh(x))).at n=6A191995
• The q-exponential of x, E_q(x,q), evaluated at q=-x.at n=77A198197
• G.f.: 1/(1+x+x^3).at n=17A199804
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of (f(i,j)), where f(i,j)=(2i-1 if max(i,j) is odd, and 0 otherwise) as in A204173.at n=50A204174
• Expansion of phi(-x^3) * f(-x, -x^5) / psi(x) in powers of x where phi(), psi(), f(, ) are Ramanujan theta functions.at n=17A262614
• Expansion of psi(x) * psi(x^9) * f(-x^3) / psi(x^3)^2 in powers of x where psi(), and f() are Ramanujan theta functions.at n=51A267852
• Expansion of Product_{k>=1} (1 + x^(2*k-1))^(2*k-1)/(1 + x^(2*k))^(2*k).at n=33A284467
• a(n) = 1*2 - 3*4 + 5*6 - 7*8 + 9*10 - 11*12 + 13*14 - ... + (up to n).at n=27A319373