41471

Appears in sequences

• Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9).at n=25A013986
• a(1)=1, a(n+1)=ceiling(phi*a(n))+1 if a(n) is odd, a(n+1)=ceiling(phi*a(n)) if a(n) is even, where phi=(1+sqrt(5))/2.at n=20A092263
• a(n) = 32*n^2 - 1.at n=35A158563
• a(n) = 72*n^2 - 1.at n=23A158738
• Increasing sequence S generated by these rules: a(1)=1, and if x is in S then both 3x+2 and 4x+3 are in S.at n=41A191145
• a(n) = 2*12^n-1.at n=4A199031
• Erroneous version of A271811 (but for odd primes only).at n=26A271664
• a(n) = a(n-1) + a(n-3) + a(n-4), where a(0) = 1, a(1) = 1, a(2) = 3, a(3) = -3.at n=28A295676
• a(n) = [x^n] Product_{k>=1} (1 + x^(k^2))^n.at n=12A301518
• a(n) = 3*n^3 - 1.at n=24A345701
• Numbers that can be written as 2*a^2 - 1 and 3*b^3 - 1.at n=2A345702
• Sum of the legs of the unique primitive Pythagorean triple (a,b,c) such that (a-b+c)/2 = A000045(n) and its long leg and hypotenuse are consecutive natural numbers.at n=12A382845
• a(0) = 1; a(n) = a(n-1)*(b(n)+1)/(b(n)-1), where b(n) = A385958(n) is the largest prime p such that a(n) is an integer.at n=46A385959