207775

Appears in sequences

• Row sums of unsigned triangle A062137 (generalized a=3 Laguerre).at n=6A062147
• Sum of an infinite series: a(n) = Sum_{k = 0..infinity} ((1/27) * (3^n)^3 * Gamma(n+1/3*k+1/3) * Gamma(n+1/3*k+2/3) * Gamma(n+1/3*k+1)) / (Gamma(4/3+1/3*k) * Gamma(5/3+1/3*k) * Gamma(2+1/3*k) * exp(1) * k!).at n=2A072020
• a(n) = (3*(n-1)+3)! *(3*(n-1)+6)! *2F2(3*n+1,3*n+4; 4,7; 1)/( 3! *6! *exp(1)), where 2F2(;;) is the generalized hypergeometric series.at n=1A072679
• Lower triangular matrix, read by rows: T(i,j) = number of ways i seats can be occupied by any number k (0<=k<=j<=i) of persons.at n=41A086885
• Triangle read by rows: Sum_{j=0..k} binomial(n, j)*binomial(k, j)*j!.at n=51A176120
• a(n) = n! * Sum_{k=0..n} binomial(2*n-3,k)/(n-k)!.at n=6A380491