135720

Appears in sequences

• Values of B (the even leg) of a Pythagorean triangle with A and C both prime and part of a twin prime.at n=7A051858
• Even legs of Pythagorean triangles whose other leg and hypotenuse are both prime.at n=20A067755
• Third level generalization of Catalan triangle (0th level is Pascal's triangle A007318; first level is Catalan triangle A009766; 2nd level is A069269).at n=43A069270
• a(n) = binomial(4*n+1,n)*2/(3*n+2).at n=7A069271
• Length of lists created by n substitutions k -> Range[k+1,1,-3] starting with {1}, counting down from k+1 to 1 step -3.at n=21A084080
• a(n) = sum along n-th diagonal of A094102 (sloping downward to left).at n=46A094103
• a(3n+k) = (k+1)*binomial(4n+k, n)/(3n+k+1), where k is n reduced mod 3.at n=22A124753
• Number of binary strings of length n with no substrings equal to 0000 0001 or 0111.at n=19A164412
• a(0)=0, a(1)=1, a(2)=2 and a(n) = a(n-1) - 2a(n-2) + a(n-3).at n=42A166117
• a(n) = Carmichael(F(n)), where F(n) are the Fibonacci numbers.at n=38A181091
• Triangle T(n,m) read by rows, obtained from [A(x)]^m = Sum_{n>=m} T(n,m)*x^n, where A(x) (the g.f. for A069271) satisfies 2*x^2*A(x)^3 = 1 - 2*x*A(x) - sqrt(1-4*x*A(x)).at n=28A188108
• Size (b^3_n) of unit sphere in a certain graph (see Hazama article for precise definition).at n=24A199935
• Number of achiral polyominoes composed of n pentagonal cells of the hyperbolic regular tiling with Schläfli symbol {5,oo}.at n=14A369472
• Integers x such that there exist four integers 0<y<=z<=t<=w such that sigma(x)^5 = x^5 + y^5 + z^5 + t^5 + w^5.at n=15A386672