398581

Properties

Appears in sequences

• a(n) = (1 - (-3)^n)/4.at n=13A014983
• Gaussian binomial coefficient [ n,12 ] for q=-3.at n=1A015424
• a(n) = 2*a(n-1) + 3*a(n-2), with a(0)=0, a(1)=1.at n=13A015518
• Cyclotomic polynomials at x=3.at n=26A019321
• Cyclotomic polynomials at x=-3.at n=13A020502
• Zsigmondy numbers for a = 3, b = 1: Zs(n, 3, 1) is the greatest divisor of 3^n - 1^n (A024023) that is relatively prime to 3^m - 1^m for all positive integers m < n.at n=25A064079
• Number of distinct paths of length 2n+1 along edges of a unit cube between two fixed adjacent vertices.at n=6A066443
• Largest prime factor of 3^n + 1.at n=13A074476
• Numbers of the form (3^s+1)/(3^r+1) for s > 1, 1 <= r <= s-1.at n=9A079672
• Square array read by antidiagonals: T(n,k) = (k*(2*k+3)^n + 1)/(k+1).at n=51A083075
• Primes of the form (3^k - (-1)^k)/4.at n=4A111010
• a(n) = (2 + (-1)^n + 3^n)/4.at n=13A122983
• Primes of the form p^e - p^(e-1) + p^(e-2) - ... + (-1)^e, where p is prime.at n=27A127727
• List of primitive prime divisors of the numbers (3^k-1)/2 (A003462) for k>=2, in order of their occurrence.at n=32A129733
• a(n) = 3*a(n-1) - a(n-3) + 3*a(n-4), starting with 1, 2, 6, 20.at n=12A132353
• a(n) = 3*a(n-1) - a(n-3) + 3*a(n-4), with initial values 1,3,7,20.at n=12A132868
• Numbers occurring in A137822 : first differences of numbers n such that 3 | sum( Catalan(k), k=1..2n).at n=18A137823
• a(n) is the least prime such that the multiplicative order of 3 mod a(n) equals n, or a(n)=1 if no such prime exists.at n=25A143663
• Primes p == 1 (mod 3) such that ((p-1)/3)! == 1 (mod p).at n=13A152217
• a(n) = (3^n+1)/(3-(-1)^n).at n=13A167205