972400

Appears in sequences

• G.f.: 1/((1-x)*(1-x^2))^5.at n=21A038165
• Expansion of (5+10*x+x^2)/(1-x)^10.at n=10A059602
• Triangle T(n,k), 0 <= k <= n, defined by : T(n,k) = 0 if k < 0, T(0,k) = 0^k, (n+2)*(2*n-2*k+1)*T(n,k) = (2*n+1)*( 4*(2*n-2*k+1)*T(n-1,k-1) + (n+2*k+2)*T(n-1,k) ).at n=32A123382
• a(n) = binomial(6*n,3*n)*binomial(2*n,n).at n=3A275655
• Number of set partitions of [n] into exactly eight blocks where sizes of distinct blocks are coprime.at n=8A280886
• Number of set partitions of [2n] into exactly n blocks where sizes of distinct blocks are coprime.at n=8A280889
• Square array read by ascending antidiagonals: T(n,k) = [x^k] (1 - x)^(2*k) * Legendre_P(n*k, (1 + x)/(1 - x)) for n, k >= 0.at n=48A364303