60696

Appears in sequences

• a(n) = floor(Fibonacci(n)/2).at n=26A004695
• Theta series of direct sum of 6 copies of hexagonal lattice.at n=5A008657
• Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DOH = Dodecasil 1H [Si34O68].qR starting with a T4 atom.at n=14A019115
• 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=23A024490
• A Fibonacci convolution.at n=25A094686
• A transform of (1-x)/(1-2x).at n=23A099517
• a(n) = F(3) + F(6) + F(9) + ... + F(3n), F(n) = Fibonacci numbers A000045.at n=8A099919
• Expansion of -x/((x^2+x+1)*(x^2+3*x+1)); invert transform gives signed version of tetrahedral numbers A000292.at n=12A113067
• Number of different possible rows (or columns) in an n X n crossword puzzle.at n=23A130578
• a(n) = (A000045(n)-A173432(n))/2.at n=25A173434
• a(2k) = floor(F(k)/2), a(2k+1) = ceiling(F(k)/2), where F = A000045 is the Fibonacci sequence.at n=52A173673
• Partial sums of odd Fibonacci numbers (A014437).at n=15A174542
• For n odd a(n) = a(n-2) + a(n-3), for n even a(n) = a(n-2) + a(n-5); with a(1) = 0, a(2) = 1.at n=50A174618
• a(n) = A174618(n) + A174618(n+1).at n=47A174619
• a(n) = ((F(n-1)+F(n-2))-1)/2 if F(n) is odd, otherwise a(n) = ((F(n-1)+F(n-2))-2)/2, where F(n) = A000045(n) is the n-th Fibonacci number.at n=25A201864
• p-INVERT of the positive integers, where p(S) = 1 - S^2.at n=12A290890
• a(n) is the integer k that minimizes |k/Fibonacci(n) - 1/2|.at n=26A293505
• Lower (1/2)-midsequence of (F(2n)) and (F(2n+1)), where F=A000045 (Fibonacci numbers); see Comments.at n=12A387778