-1218

Appears in sequences

• Expansion of e.g.f.: cos(tan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-19/4!*x^4+20/5!*x^5...at n=7A012928
• a(n) = A023194 - A062700(n). Negative values of A071166(m) = m-A006530(A000203(m)) differences. In these cases m is square number from A023194.at n=42A071167
• Partial sums of A128379.at n=8A128378
• Triangle read by rows: row n gives coefficients C(n,j) for a Sheffer sequence (binomial-type) with lowering operator (D-1)/2 + T{ (1/2) * exp[(D-1)/2] } where T(x) is Cayley's Tree function.at n=39A135494
• Triangle read by rows, inverse binomial transform of A152431.at n=34A152432
• Triangle, read by rows, T(n,k,m) = (m*(n-k)+1)*binomial(n-1, k-1) + (m*k+1)* binomial(n-1, k) - m*k*(n-k)*binomial(n-2, k-1), with m = 3.at n=60A157174
• a(n) = A000730(7*n).at n=18A282941
• G.f.: Im((2*i; x)_oo), where (a; q)_oo is the q-Pochhammer symbol, i = sqrt(-1).at n=23A292140
• Expansion of Product_{k>=1} (1 - x^prime(k))^prime(k).at n=31A300521
• Partial sums of F(1) - L(1) + F(2) - L(2) + F(3) - L(3) + ..., where F = A000045 and L = A000032.at n=27A355018
• Triangle read by rows. The triangle algorithm applied to (-1)^n/n!.at n=22A363732