57024

Appears in sequences

• Number of spanning trees with degrees 1 and 3 in S_4 X P_{2n-1}.at n=7A003756
• Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^3 where w, x, y, and z are all positive integers.at n=28A057370
• Consider the solutions to k = a+b = x*y and a*b = k*(x+y) where k, a, b, x, and y are all positive integers, ordered by increasing k and, in case of ties, by increasing x. Sequence gives values of a*b.at n=14A057421
• a(n) = 6*a(n-1)-8*a(n-2) for n>1, a(0)=1, a(1)=9.at n=7A081193
• Row sums in A083167.at n=32A083170
• Let A denote the sequence; A is equal to the union of the self-convolutions A^2 and A^3, with terms in ascending order by size.at n=37A090845
• Expansion of (1+18*x)^(1/3).at n=5A108733
• A convolution triangle of numbers based on A071356.at n=47A110681
• Enneagonal numbers divisible by 9.at n=29A117796
• [r]*[2r]*[3r]*...[nr], where r=(1+sqrt(5))/2 and []=floor.at n=6A147998
• Totally multiplicative sequence with a(p) = 7p-2 for prime p.at n=39A166671
• Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y>2z.at n=24A212504
• Self-convolution square of A090845.at n=21A222082
• G.f. A(x) satisfies: a([n/r^2]) = [x^n] A(x)^2/x and a([n/r^3]) = [x^n] A(x)^3/x^2, for n>=1, where r^2 + r^3 = 1.at n=37A262990
• Numbers with a record number of distinct values of the Euler totient function applied to their divisors (A319696).at n=27A328858
• a(n) = 1/(Sum_{k=1..n} 1/phi(A341810(n)*k)).at n=36A341811
• G.f. A(x) satisfies: A(x) = (1 + x * A(x)^7) / (1 - x).at n=5A349313
• G.f. A(x) satisfies: [x^(2*n-2)] A(x)^(n*(n+1)/2) = 0 and [x^(2*n-1)] A(x)^(n*(n+1)/2) = 0 for n > 1, with a(0) = 1, a(2) = 6.at n=5A350525
• a(n) is the least number k such that A018804(k)/k = n.at n=27A353264
• a(n) = (n - 1) * (n - 2) * sigma(n).at n=33A374915