37220045

Appears in sequences

• a(0) = 1, a(1) = 5, a(n) = 4*a(n-1) - a(n-2).at n=13A001834
• Related to Bernoulli numbers.at n=13A002316
• Related to Genocchi numbers.at n=13A002317
• a(2*n) = a(2*n-1) + a(2*n-2), a(2*n+1) = 2*a(2*n) + a(2*n-1); a(0) = a(1) = 1.at n=27A002531
• Numerators of continued fraction convergents to sqrt(27).at n=8A041042
• Numerators of continued fraction convergents to sqrt(243).at n=14A041454
• Numerators of continued fraction convergents to sqrt(867).at n=8A042674
• Limit of the sequence obtained from S(0) = (1,1) and, for n > 0, S(n) = I(S(n-1)), where I consists of inserting, for i = 1, 2, 3..., the term a(i) + a(i+1) between any two terms for which 7*a(i+1) <= 11*a(i).at n=26A082630
• Expansion of (1 + x + x^2)/(1 - 4x^2 + x^4).at n=26A108412
• Number of Khalimsky-continuous functions with a three-point codomain.at n=25A131887
• Numerators of principal and intermediate convergents to 3^(1/2).at n=39A143642
• Numerators of the lower principal convergents and the lower intermediate convergents to 3^(1/2).at n=26A143643
• Numerators of fractions x^n + y^n, where x + y = 1 and x^2 + y^2 = 2.at n=26A173299
• Numbers k such that k^2 + 2 is powerful in the sense of A001694.at n=5A175180
• a(0) = 1, a(n+1) = 2*a(n)^3 + 3*a(n).at n=3A238799
• a(n) = a(n-1) + (if a(n-1) is odd a(n-2) else a(n-3)) with a(0) = 0, a(1) = 1.at n=41A254308