43721

Properties

Appears in sequences

• Perrin sequence (or Perrin numbers, or Ondrej Such sequence): a(n) = a(n-2) + a(n-3) with a(0) = 3, a(1) = 0, a(2) = 2.at n=38A001608
• Numbers k such that the continued fraction for sqrt(k) has period 79.at n=36A020418
• Prime numbers in the Perrin sequence b(n+1) = b(n-1) + b(n-2) with initial values b(1)=3, b(2)=0, b(3)=2.at n=10A074788
• Expansion of ( 2+x+2*x^2 ) / ( 1-2*x+x^2-x^3 ).at n=17A109377
• a(n) = floor(r^n) where r is the smallest Pisot number (real root r=1.3247179... of x^3-x-1).at n=38A112639
• Perrin numbers for which the sum of the digits is also a Perrin number.at n=12A117593
• Primes p such that q-p = 32, where q is the next prime after p.at n=8A126784
• a(n) = round(r^n) where r is the smallest Pisot number (real root r=1.3247179.. of x^3-x-1).at n=38A205579
• a(n) = a(n-1) + a(n-2) + a(n-4).at n=19A259967
• Number of n X 7 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=14A301789
• Primes that can be constructed by concatenating two squares >= 4.at n=36A345314
• Primes p such that 2*p+1 and (2*p)^2+(2*p+1)^2 are also prime.at n=41A347110
• Prime numbersat n=4555