314160

Appears in sequences

• a(n) = n*(n+1)*(n+2)*(n+3)/4.at n=32A033487
• Denominators of a(n+1) = Sum_{k=1..n} a'(n/k), a(1)=1, where a'(x)=a(x) if x integer and is linearly interpolated otherwise.at n=38A071796
• a(n) = (5*n+1)*(5*n+3)*(5*n+5).at n=13A079610
• Sum of divisors of floor(Pi*10^n), Pi=3.14...at n=5A089285
• a(n) can be expressed as the difference of the squares of consecutive primes in just three distinct ways.at n=19A090783
• Numbers that can be expressed as the difference of the squares of primes in exactly eighteen distinct ways.at n=0A092014
• Least number that can be expressed as the difference of the squares of primes in exactly n distinct ways.at n=17A092204
• A relationship between Pi and the Mandelbrot set. a(n) = number of iterations of z^2 + c that c-values -0.75 + x*i go through before escaping, where x = 10^(-n). Lim_{n->inf} a(n) * x = Pi.at n=5A097486
• a(n) = denominator of sum{k=1 to n} 1/A127515(k).at n=16A127517
• a(n) = the smallest positive integer with exactly n positive "non-isolated divisors". A divisor, k, of n is non-isolated if (k-1) or (k+1) also divides n.at n=27A133996
• a(n) = -A141055(n)/(n+1)!.at n=30A141321
• n such that n = product of 3 consecutive even numbers and n+-1 are primes.at n=7A174384
• Triangle of numerators of coefficients of the polynomial Q^(2)_m(n) defined by the recursion Q^(2)_0(n)=1; for m>=1, Q^(2)_m(n) = Sum_{i=1..n} i^2*Q^(2)_(m-1)(i). For m>=0, the denominator for all 3*m+1 terms of the m-th row is A202367(m+1).at n=36A175669
• Numbers with prime factorization pqrstu^4.at n=1A190388
• Numbers k such that Euler phi(Dedekind psi(k)) > k.at n=23A196200
• Numbers n such that the multiplicative group modulo n is the direct product of 7 cyclic groups.at n=12A272597
• Triangle read by rows. A generalization of unsigned Lah numbers, called L[3,1].at n=23A290596
• Primitive 4-abundant numbers: Numbers k such that sigma(k) > 4k (A068404) all of whose proper divisors d are 4-deficient numbers (having sigma(d) < 4d).at n=26A307114
• Minimal prime partition representation of odd integers.at n=17A327413
• Denominators of higher order Bernoulli numbers.at n=41A332666