30348

Appears in sequences

• a(n) = floor(Fibonacci(n)/4).at n=26A004697
• a(n) = round(n*phi^14), where phi is the golden ratio, A001622.at n=36A004949
• a(n) = (F(3*n+2) - 1)/4, where F=A000045 (the Fibonacci sequence).at n=8A049652
• a(n) = (F(6*n+2)-1)/4, where F=A000045 (the Fibonacci sequence).at n=4A049662
• Number of permutations satisfying -k <= p(i) - i <= r and p(i) - i not in I, i=1..n, with k=1, r=5, I={1,3}.at n=23A079962
• a(n) = a(n-1) + a(n-2) + 1 if n is a multiple of 6, otherwise a(n) = a(n-1) + a(n-2).at n=22A131132
• Lower Beatty array of the golden ratio, (1+sqrt(5))/2.at n=36A181886
• Number of (1,0)-steps of weight 1 at level 0 in all weighted lattice paths in L_n.at n=12A182890
• Convolution of Fibonacci numbers and positive integers repeated three times (A000045 and A008620).at n=21A213044
• Array: T(m,n) = (F(m) + F(2*m) + ... + F(n*m))/F(m), by antidiagonals, where F = A000045 (Fibonacci numbers).at n=47A214984
• Array: T(m,n) = (F(n) + F(2*n) + ... + F(n*m))/F(n), by antidiagonals; transpose of A214984.at n=52A214985
• Power ceiling array for the golden ratio, by antidiagonals.at n=58A214986
• Numbers that are representable in at least two ways as sums of four distinct nonvanishing cubes.at n=9A259060
• Expansion of Product_{k>=0} 1/(1-x^(3*k+1))^3.at n=28A261631
• Expansion of Product_{k>=1} (1 + x^(2*k-1))^k.at n=40A263140
• a(n) = A186434(n)/4.at n=16A271908
• a(n) is the integer k that minimizes |k/Fibonacci(n) - 1/4|.at n=26A293553
• G.f. A(x,y) = lim_{N->infinity} (1 - P(N,x,y))/(2*x)^N, where P(0,x,y) = -y, and P(n+1,x,y) = sqrt(1 - 4*x + 4*x*P(n,x,y)) for n = 0..N-1.at n=37A352093
• Column 2 of triangle A352093.at n=6A352094