57536

Appears in sequences

• a(n) = floor(n*(n-1)*(n-2)*(n-3)/15).at n=32A011925
• a(n) = Sum_{0<=j<=i<=n} A027144(i, j).at n=11A027153
• Number of matchings in graph C_{6} X P_{n}.at n=3A033518
• Number of matchings in the C_n X P_3 graph (C_n is the cycle graph on n vertices and P_3 is the path graph on 3 vertices).at n=4A102090
• Expansion of 1/sqrt(1-4*x-4*x^2+16*x^3).at n=9A106183
• Let p = prime(n). Smallest j such that q = j*2*p^3-1, r = j*p*2*q^2-1, s = j*p*2*r^2-1, and j*p*2*s^2-1 are prime numbers.at n=29A224612
• a(n) = 8*binomial(5*n + 8, n)/(5*n + 8).at n=5A233736
• Number of partitions of n with difference 9 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=44A242700
• Array read by antidiagonals: T(m,n) is the number of matchings in the stacked prism graph C_m X P_n.at n=33A287428