22842

Appears in sequences

• a(n) = b(n)*Integral_{x=0..1/(4^n)} (1 - sqrt(x)) dx, where b(n) = 3*24^n.at n=5A093801
• a(n) = Sum_{k <= n/2 } k*binomial(n-2k, 3k).at n=20A137359
• Number of increasing sequences of n integers x(1),...,x(n) with values in 1..3*n such that x(j) divides x(k) if j divides k.at n=16A180385
• Number of 4 X 4 X 4 triangular 0..n arrays with every horizontal row nondecreasing, first elements of rows nonincreasing, last elements of rows nondecreasing, and every row having the same average value.at n=12A215184
• Number of permutations of [n] avoiding {2143, 3412, 1234}.at n=14A294709
• a(n) = exp(-1/3) * Sum_{k>=0} (3*k - 1)^n / (3^k * k!).at n=7A337039
• Number of partitions of n into 7 or more distinct parts.at n=46A347574
• Expansion of Product_{k>=1} (1-q^(2*k))^2/(1-q^k)^7.at n=8A350643
• Numbers k such that the sums (with multiplicity) of prime factors of k and k+1 are both squares.at n=24A359445
• Number of ways to place eight distinct positive integers on a square, four on the corners and four on the sides such that the sum of the three values on each side is n.at n=28A380962