43435

Appears in sequences

• Gaussian binomial coefficient [n, 2] for q = 2.at n=9A006095
• Triangle of Gaussian binomial coefficients (or q-binomial coefficients) [n,k] for q = 2.at n=47A022166
• Triangle of Gaussian binomial coefficients (or q-binomial coefficients) [n,k] for q = 2.at n=52A022166
• Gaussian binomial coefficients [n, 7] for q = 2.at n=2A022190
• Number of sublattices of index n in generic 8-dimensional lattice.at n=3A038995
• Terms of A050530 with four prime divisors.at n=32A053340
• Z(S_m; sigma[1](n), sigma[2](n),..., sigma[m](n)) where Z(S_m; x_1,x_2,...,x_m) is the cycle index of the symmetric group S_m and sigma[k](n) is the sum of k-th powers of divisors of n; m=7.at n=3A068024
• Figurate numbers based on the 600-cell (4-D polytope with Schlaefli symbol {3,3,5}).at n=6A092182
• A Jacobsthal variant.at n=16A097038
• Square array T(n,m) read by antidiagonals: number of sublattices of index m in generic n-dimensional lattice.at n=58A128119
• a(n) is the number of binary strings of length n such that there exist 4 or more ones in a subsequence of length 5 or less.at n=15A130902
• General q-Narayana triangle sequence: T(n, k) = Product_{j=0..1} (q-binomial(n+j, j+k, 2)/q-binomial(n-k+j, j, 2)).at n=37A156916
• General q-Narayana triangle sequence: T(n, k) = Product_{j=0..1} (q-binomial(n+j, j+k, 2)/q-binomial(n-k+j, j, 2)).at n=43A156916
• q-Carlitz-Al-Salam-Appell polynomial coefficients:q=2; p(x,n)=x*p[x, n - 1] - (1 - q^(n - 1))*q^(n - 2)*p[x, n - 2].at n=52A156960
• Array read by antidiagonals: T(n,k) is the number of sublattices of index n in generic k-dimensional lattice (n >= 1, k >= 1).at n=62A160870
• a(n) = 6*a(n-1) - 8*a(n-2) + 1 for n > 1; a(0) = 1, a(1) = 7.at n=7A171477
• a(n) is the smallest composite n-Lehmer number.at n=8A234936
• Triangle read by rows, T(n,k) = Sum_{j=0..n-k+1} C(n-1,j-1)*T(n-j,k-1) if k != 0 else 1, n>=0, 0<=k<=n.at n=58A256894
• Number of set partitions of [n] into exactly four blocks such that all odd elements are in blocks with an odd index and all even elements are in blocks with an even index.at n=14A274868
• a(n) = n*((4*n + 1)*(7*n - 4) + 15*n*(-1)^n)/48.at n=41A302766