1610612736
domain: N
Appears in sequences
- a(n) = 6*4^n.at n=14A002023
- Expansion of g.f. (1+x)/(1-2*x).at n=30A003945
- a(n) = 3*2^n.at n=29A007283
- Row sums of the Lucas triangle A029635.at n=30A042950
- Smallest number x such that cototient(x) = 2^n.at n=30A058764
- For n >= 2, let N_n denote the set of all unipotent upper-triangular real n X n matrices A such that for every k=1,2,...,n-1 the minor of A with rows 1,2,...,k and columns n-k+1,...,n is nonzero. a(n) is the number of connected components of N_n.at n=28A060344
- Reciprocal of n terminates with an infinite repetition of digit 6. Multiples of 10 are omitted.at n=20A064565
- a(n) = 2*2^n - (-2)^n.at n=29A081631
- Numbers m such that the largest prime power in the factorization of m equals phi(m).at n=27A081808
- a(n) = sum of (n-1)-th row terms of triangle A134059.at n=30A082505
- Expansion of g.f. (1 + 6*x + 5*x^2)/((1-2*x)*(1+2*x)).at n=29A084431
- Number of ground-state 3-ball juggling sequences of period n.at n=17A084509
- Least m such that omega(m) + Omega(m) = n, or 0 if no such m exists.at n=32A087009
- Product of digits associated with A091628(n). Essentially the same as A007283.at n=28A091629
- Denominator of (3*2^(n-1) - 1)*integral_{x=0 to 1/(4^n)}1-sqrt x dx.at n=9A094085
- 10^a(n) + 1 = A088773(n).at n=32A098011
- a(n) is the numerator of harmonic mean of a(n-1) and a(n-2).at n=29A107928
- Number of permutations avoiding the patterns {1342, 1432, 2341, 2431, 3142, 3241, 3412, 3421, 4132, 4231, 4312, 4321}; number of strong sorting class based on 1342.at n=31A111286
- Dimension of 2-variable non-commutative harmonics (Hausdorff derivative). The dimension of the space of non-commutative polynomials in 2 variables which are killed by all symmetric differential operators (where for a monomial w, d_{xi} ( w ) = sum over all subwords of w deleting xi once).at n=32A122391
- Odd-indexed terms, a(n) = 2^n. Even-indexed terms, a(n) = floor(2^n+2^(n-1)).at n=30A122756