34476

Appears in sequences

• a(n) = (2*n - 1)*n^2.at n=26A015237
• Partial sums of A027035.at n=10A027036
• (Terms in A029661)/2.at n=48A051430
• (Terms in A029647)/2.at n=51A051471
• a(n) = (11*n + 4)*C(n+3, 3)/4.at n=15A055268
• Number of 5-gonal compositions of n into positive parts.at n=35A069983
• Number of essentially different ways of arranging numbers 1 through 2n around a circle so that the sum of each pair of adjacent numbers is prime and the odd (or even) numbers are in order.at n=21A072616
• a(n) = A000129(n) * A000129(n+1)/2.at n=7A084158
• Pellonomial triangle P(k,n) read by rows.at n=38A099927
• Pellonomial triangle P(k,n) read by rows.at n=42A099927
• Duplicate of A099927.at n=38A139332
• Duplicate of A099927.at n=42A139332
• Integer averages of the first perfect cubes up to some n^3.at n=37A164577
• Second beta integer combination triangle of a Narayana type: a=2:f(n, a) = a*f(n - 1, a) + f(n - 2, a);c(n,a)=If[n == 0, 1, Product[f(i, a), {i, 1, n}]];w(n,m,q)=c(n - 1, q)*c(n, q)/(c(m - 1, q)*c(n - m, q)*c(m - 1, q)*c(n - m + 1, q)*f(m, q)).at n=29A172377
• Second beta integer combination triangle of a Narayana type: a=2:f(n, a) = a*f(n - 1, a) + f(n - 2, a);c(n,a)=If[n == 0, 1, Product[f(i, a), {i, 1, n}]];w(n,m,q)=c(n - 1, q)*c(n, q)/(c(m - 1, q)*c(n - m, q)*c(m - 1, q)*c(n - m + 1, q)*f(m, q)).at n=34A172377
• a(n) = 2^(prime(n)-1) mod prime(n)^2.at n=44A196202
• E.g.f. satisfies A(A(x)*exp(-2*A(x)))=x.at n=5A209627
• Triangle T(n,k), 0 <= k <= n, read by rows defined by: T(n,k) = (binomial(2*n,2*k) + binomial(2*n+1,2*k))/2.at n=51A232535
• G.f.: Product_{k>=1} (1 + x^(k*(k+1)/2)) / (1 - x^k).at n=32A280421
• Triangle read by rows: T(n,k) = Sum_{i=0..n/2} C(n-i,i)*C(n-i,k-i)*C(n-1,i) (0 <= k <= n).at n=52A306226