2851444

Appears in sequences

• Least positive integer k such that the fractional part of k*sqrt(5) has its n initial partial quotients all equal to 1.at n=15A004794
• a(n) = C(n-1,1) + C(n-3,3) + ... + C(n-2*m-1,2*m+1), where m = floor((n-2)/4).at n=31A024490
• A Fibonacci convolution.at n=33A094686
• a(n) = floor[(phi + n mod 2)*a(n-1)], a(1)=1.at n=22A107857
• a(n) = b(k), where b(k) = Fibonacci(n-1) and k = floor( n*(1+sqrt(5))/2 ).at n=22A107858
• Expansion of -x/((x^2+x+1)*(x^2+3*x+1)); invert transform gives signed version of tetrahedral numbers A000292.at n=16A113067
• Number of nonnegative even integers <= Fibonacci(n).at n=34A147997
• a(n) = ceiling(Fibonacci(n)/2).at n=34A173173
• a(n) = (A000045(n)+A173432(n))/2.at n=33A173433
• Expansion of (1-3*x)/(1-5*x+3*x^2+x^3).at n=11A232970
• Indices of centered pentagonal numbers (A005891) that are also triangular numbers (A000217).at n=11A254627
• p-INVERT of the positive integers, where p(S) = 1 - S^2.at n=16A290890
• a(n) = a(n-1) + a(n-2) - a(n-3) + a(n-4) for n > 4, where a(n)=0 for n < 4 and a(4) = 1.at n=36A293014
• a(n) is the integer k that minimizes |k/Fibonacci(n) - 1/2|.at n=34A293505
• Expansion of 1/( (1 + x) * (1 - x^2*(1 + x)^2) ).at n=34A375372
• Upper (1/2)-midsequence of (F(2n)) and (F(2n+1)), where F=A000045 (Fibonacci numbers); see Comments.at n=16A387779