259723
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numerator of (2/Pi)*Integral_{0..inf} (sin x / x)^n dx.at n=8A002297
- Numerator of (1/Pi)*Integral_{x=0..oo} (sin(x)/x)^n dx.at n=8A049330
- Triangle read by rows: Eulerian numbers of type B, T(n,k) (1 <= k <= n) given by T(n, 1) = T(n,n) = 1, otherwise T(n, k) = (2*n - 2*k + 1)*T(n-1, k-1) + (2*k - 1)*T(n-1, k).at n=31A060187
- Triangle read by rows: Eulerian numbers of type B, T(n,k) (1 <= k <= n) given by T(n, 1) = T(n,n) = 1, otherwise T(n, k) = (2*n - 2*k + 1)*T(n-1, k-1) + (2*k - 1)*T(n-1, k).at n=32A060187
- A column and diagonal of A060187 (k=4).at n=4A060190
- Triangle read by rows: T(n, k) = (-1)^(n+k) * A060187(n+1, k+1).at n=31A138076
- Triangle read by rows: real part of Lerch Phi expansion of p(x,n) = 2^n*(1 - i*x)^(n+1) * LerchPhi(i*x, -n, 1/2).at n=32A143196
- Maximal coefficient of MacMahon polynomial (cf. A060187) p(x,n)=2^n*(1 - x)^(n + 1)* LerchPhi[x, -n, 1/2]; that is, a(n) = Max(coefficients(p(x,n))).at n=7A154420
- Triangle T(n,k) = A060187(n+2,k+2), 1<=k<=n.at n=17A154817
- Triangle T(n,k) = A060187(n+2,k+2), 1<=k<=n.at n=18A154817
- Triangle: A060187 with interspersed zeros.at n=55A158781
- Triangle: A060187 with interspersed zeros.at n=57A158781
- Numerator of the volume of d dimensional symmetric convex cuboid with constraints |x1 + x2 + ... xd| <= 1 and |x1|, |x2|, ..., |xd| <= 1.at n=7A269067
- Prime numbersat n=22817