97656

Appears in sequences

• a(n) = (5^n - 1)/4.at n=8A003463
• Triangle of Gaussian binomial coefficients [ n,k ] for q = 5.at n=37A022169
• Gaussian binomial coefficients [ n,7 ] for q = 5.at n=1A022214
• Number of sublattices of index n in generic 8-dimensional lattice.at n=4A038995
• Numbers that are repdigits in base 5.at n=29A048330
• a(n) = n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1.at n=5A053717
• 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=4A068024
• z-value of the solution (x,y,z) to 5/n = 1/x + 1/y + 1/z satisfying 0 < x < y < z and having the largest z-value. The x and y components are in A075249 and A075250.at n=36A075251
• Numbers of the form (5^{mr}-1)/(5^r-1) for positive integers m, r.at n=16A076284
• Triangle read by rows: T(n,k) = (n+1,k)-th element of (M^5-M)/4, where M is the infinite lower Pascal's triangle matrix, 1<=k<=n.at n=28A096039
• Modulo 2 binomial transform of 5^n.at n=7A100308
• Triangle T(n, m) = T(n-1, m-1) + (4m-3)*T(n-1, m) read by rows 1<=m<=n.at n=37A111578
• Riordan array (1/sqrt(1-6x+5x^2),x/(1-6x+5x^2)).at n=37A111965
• Integer squares y from the smallest solutions of y^2 = x*(a^N - x)*(b^N + x) (elliptic line, Weierstrass equation) with a and b legs in primitive Pythagorean triangles and N = 2. Sequence ordered in increasing values of leg a.at n=22A120210
• Triangle read by rows: T(n,k) = value of the n-th repunit in base (k+1) representation, 1<=k<=n.at n=31A125118
• a(n) = (p+2)!/p! where p is the n-th lesser twin prime, A001359(n).at n=19A126251
• a(n) = floor(n^4/4).at n=25A131479
• Expansion of eta(q^4)^2 / (eta(q^2) * eta(q)^6) in powers of q.at n=10A134416
• Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) - m*k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 4, read by rows.at n=37A157155
• Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) - m*k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 4, read by rows.at n=43A157155