35910

Appears in sequences

• Theta series of A_20 lattice.at n=2A023911
• Theta series of A*_20 lattice.at n=42A023932
• a(n) = n*(n+1)*(n+2)*(n+3)/4.at n=18A033487
• Numerators of continued fraction convergents to sqrt(897).at n=5A042734
• Largest possible z-value of an integer solution (x,y,z) to 4/n = 1/x + 1/y + 1/z satisfying 0 < x < y < z. The x and y components are in A075245 and A075246.at n=24A075247
• Numbers n such that 3*10^n-7 is prime.at n=16A102964
• a(0) = a(1) = 1, a(2) = x, a(3) = 2x^2, a(n) = x*(n-1)*a(n-1) + Sum_{j=2..n-2} (j-1)*a(j)*a(n-j), n>=4 and for x = 3.at n=6A113130
• a(n) = (9/2)*(n-1)*(n-2)*(n-3).at n=21A134171
• Numbers with prime factorization pqrst^3.at n=22A189984
• Record (maximal) gaps between prime 5-tuples (p, p+4, p+6, p+10, p+12).at n=5A201062
• Number of lines through at least two points of a centered hexagonal grid of size n.at n=11A241220
• z-value of the lexicographically first solution (x,y,z) of 4/n = 1/x + 1/y + 1/z with 0 < x < y < z all integers, or 0 if there is no such solution. Corresponding x and y values are in A257839 and A257840.at n=26A257841
• Number x such that sigma(x) = Sum_{i=1..k} {sigma(x/p_i)}, where p_i are the k prime factors of x.at n=3A324711
• Practical numbers with a record gap to the next practical number.at n=13A330870
• a(n) is the least number with exactly n odd divisors that are <= sqrt(n).at n=18A334853
• a(n) is the smallest number that can be partitioned into n ways as the sum of two brilliant numbers (A078972).at n=34A338474
• Triangle T(n,k) defined by Sum_{k=1..n} T(n,k)*u^k*x^n/n! = exp(Sum_{n>0} u*d(n)*x^n/n!), where d(n) is the number of divisors of n.at n=51A338870
• a(n) = Sum_{k=1..n} k^2 * floor(n/k)^2.at n=36A350123
• Denominators of the partial sums of the reciprocals of the Dedekind psi function (A001615).at n=40A357819
• a(n) is the least practical number A005153(k) such that A005153(k+1) - A005153(k) = 2*n, or -1 if no such number exists.at n=20A364707