-1560

Appears in sequences

• Expansion of (1-4*x)^(5/2).at n=11A002422
• Row sums of triangle K(m, n), inverse to triangle T(m,n) in A020921.at n=10A038200
• McKay-Thompson series of class 22B for Monster.at n=37A058568
• Expansion of a Schwarzian ({f_{27|3}, tau} / (4*Pi)^2) in powers of q^3.at n=4A062248
• 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=46A071167
• A076341(A000290(n)), imaginary part of squares mapped as defined in A076340, A076341.at n=50A076350
• Sum_{d divides n} d^2*(-1)^bigomega(d), where bigomega(n) = A001222(n).at n=43A076792
• a(n) = Sum[d|n, d==1 (mod 3), d^2] - Sum[d|n, d==2 (mod 3), d^2].at n=43A103440
• a(2*n) = A028230(n), a(2*n+1) = -A067900(n+1).at n=5A110294
• McKay-Thompson series of class 22B for the Monster group with a(0) = -2.at n=37A132320
• Triangle read by rows of coefficients of Chebyshev-like polynomials P_{n,5}(x) with 0 omitted (exponents in increasing order).at n=37A136397
• Triangle T(n,k)= n! if k=0, T(n,k) = -(n-k)!*A003319(k) if k > 0.at n=49A142156
• Triangle: q=3; m=2; t(n,k)=If[m == 0, n!, Product[Sum[(-1)^i*StirlingS2[ k - 1, i]*(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; b(n,k,m)=If[n == 0, 1, t[n, m]/(t[k, m]*t[n - k, m])].at n=30A156594
• Triangle: q=3; m=2; t(n,k)=If[m == 0, n!, Product[Sum[(-1)^i*StirlingS2[ k - 1, i]*(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; b(n,k,m)=If[n == 0, 1, t[n, m]/(t[k, m]*t[n - k, m])].at n=33A156594
• Expansion of (b(q^3)^3 - b(q)^3) / 9 in powers of q where b() is a cubic AGM theta function.at n=43A181905
• a(n) = 2n(19-n).at n=39A182428
• n-th derivative of cos(x)^tanh(x) at x=0.at n=9A215585
• Expansion of q^(-1/4) * eta(q)^8 * eta(q^4)^2 / eta(q^2)^5 in powers of q.at n=43A244276
• Expansion of chi(-x^4)^4 * f(-x^4)^2 * f(-x)^2 in powers of x where chi(), f() are Ramanujan theta functions.at n=49A279955
• Real part of Product_{k=1..n} (k+(n-k+1)i), with i=sqrt(-1).at n=5A302661