99463
domain: N
Appears in sequences
- Gaussian binomial coefficient [n, 2] for q = 3.at n=5A006100
- Triangle of Gaussian binomial coefficients [ n,k ] for q = 3.at n=30A022167
- Triangle of Gaussian binomial coefficients [ n,k ] for q = 3.at n=33A022167
- Gaussian binomial coefficients [ n,5 ] for q = 3.at n=2A022196
- Number of sublattices of index n in generic 6-dimensional lattice.at n=8A038993
- Numerators of continued fraction convergents to sqrt(614).at n=9A042178
- 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=5.at n=8A068022
- Wieferich numbers (1): n > 1 such that 2^A000010(n) == 1 (mod n^2).at n=14A077816
- Triangle T(n, k, q) = ((1-q)/(1-q^k))*c(n-1, q)*c(n, q)/(c(k-1,q)^2*c(n-k,q)*c(n-k+1, q)), where c(n, q) = Product_{j=1..n} (1-q^j) and q = 3, read by rows.at n=22A172300
- Triangle T(n, k, q) = ((1-q)/(1-q^k))*c(n-1, q)*c(n, q)/(c(k-1,q)^2*c(n-k,q)*c(n-k+1, q)), where c(n, q) = Product_{j=1..n} (1-q^j) and q = 3, read by rows.at n=26A172300
- Numbers m such that m^2 divides 2^k - 1 for some k, 0 < k <= m.at n=37A246503
- Numbers n > 1 such that 2^m == 1 (mod n^2), where m = A002326((n-1)/2).at n=11A265630
- Numbers n > 1 such that 2^lambda(n) == 1 (mod n^2), where lambda(n) is the Carmichael lambda function (A002322).at n=12A291961
- Irregular triangle read by rows: T(n, k) is the q-multinomial coefficient defined by the k-th partition of n in Abramowitz-Stegun order, evaluated at q = 3.at n=31A347486