49104

Appears in sequences

• a(n) = floor(Fibonacci(n)/4).at n=27A004697
• a(n) = floor(n(n-1)(n-2)(n-3)/20).at n=33A011930
• a(n) = (Fibonacci(6*n+3) - 2)/4.at n=4A053606
• Second row of array in A101385.at n=32A101644
• a(n) = (n+1)! * (H(n+1) - H(2)), where H(n) are the harmonic numbers.at n=6A122057
• 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=23A131132
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} whose 2nd cycle has k entries; each cycle is written with the smallest element first and cycles are arranged in increasing order of their first elements (n>=1; 0<=k<=n-1). For example, 1432=(1)(24)(3) has 2 entries in the 2nd cycle; 3421=(1324) has 0 entries in the 2nd cycle.at n=39A138771
• Number of binary strings of length n with no substrings equal to 0011 0110 or 1001.at n=16A164506
• Integer part of the greatest eigenvalues of the matrix n X n whose elements are the Fibonacci numbers F(n) (A000045) such that n X n = ((F(0),F(1),...,F(n-1)),(F(n),F(n+1),...,F(2n-1)),...,(F(n(n-1)),F(n(n-1)+1),...,F(n^2-1))), for n=1,2,...at n=4A174997
• Number of (n+1)X(3+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements.at n=4A251196
• Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements.at n=2A251198
• T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements.at n=23A251201
• T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements.at n=25A251201
• First differences of A275316.at n=7A275472
• a(n) is the integer k that minimizes |k/Fibonacci(n) - 1/4|.at n=27A293553
• Indices of Ulam prime triples, where u(k), u(k+1) and u(k+2) are all primes, and u(k) = A002858(k) are the Ulam numbers.at n=21A307330
• G.f. A(x) satisfies Sum_{n=-oo..+oo} (4^n*A(x)^n - 4*A(x))^(n+1) = 2*theta_4(x) = 2*Sum_{n=-oo..+oo} (-x)^(n^2).at n=5A379764
• Triangle read by rows: T(n,k) = numerators of "across the board" style tournament payouts.at n=30A388733