141422324

Appears in sequences

• Lucas numbers (beginning with 1): L(n) = L(n-1) + L(n-2) with L(1) = 1, L(2) = 3.at n=38A000204
• Associated Mersenne numbers.at n=39A001350
• Bisection of Lucas sequence: a(n) = L(2*n+1).at n=19A002878
• a(n) = 3*a(n-2) - a(n-4), a(0)=0, a(1)=1, a(2)=1, a(3)=4. Alternates Fibonacci (A000045) and Lucas (A000032) sequences for even and odd n.at n=39A005013
• Even Lucas numbers: a(n) = L(3*n).at n=13A014448
• Numerators of continued fraction convergents to sqrt(20).at n=12A041030
• Expansion of (1-2*x)/(1+x-x^2).at n=38A075193
• a(1) = 1, a(2) = 2, a(n+1) = n*a(1) + (n-1)*a(2) + ... + (n-r)*a(r+1) + ... + a(n).at n=20A093960
• a(0)=-1, a(1)=-1, a(n)=-3*a(n-1)-a(n-2) for n>1.at n=20A098149
• Lucas numbers for which the sum of the digits is a prime.at n=12A117790
• a(n) is the sum of all n-digit Fibonacci numbers.at n=7A128823
• Numbers n such that the quintic polynomial x^5 - 10*n*x^2 - 24*n has Galois group A_5 over rationals.at n=18A135064
• a(n) = A014217(n+1) - A115360(n+2).at n=37A142584
• Number of n X 2 binary arrays with all 1s connected, a path of 1s from top row to lower right corner, and no 1 having more than two 1s adjacent.at n=37A163695
• Nonprime Lucas numbers.at n=26A172159
• Position of first occurrence of n in A182576.at n=38A182580
• Subsequence of A014217 (n=2,3,5,6,8,9,11,12,...).at n=25A182642
• a(n) = Fibonacci(8n+5) mod Fibonacci(8n+1).at n=4A191968
• Integers n such that n^2 is the difference of two Lucas numbers (A000032).at n=26A221471
• Numbers m such that m^2 - 1 is the product of three distinct Fibonacci numbers > 1.at n=26A242103