51842

Appears in sequences

• a(0) = 1, a(n) = 40*n^2 + 2 for n>0.at n=36A010022
• Number of perfect matchings in graph C_{8} X P_{n}.at n=5A028479
• Expansion of x*(1+3*x+2*x^2)/((1+x+x^2)*(1-x-x^2)).at n=23A100886
• a(n+3) = 3*a(n+2) + 5*a(n+1) + a(n), a(0) = 1, a(1) = 10, a(2) = 37.at n=7A110528
• Expansion of (1-x)*(2*x^2+2*x+1) / ((x^2-x-1)*(x^2+x+1)).at n=23A111734
• Half the number of n X 2 binary arrays with every element equal to exactly one or two of its horizontal and vertical neighbors.at n=11A185828
• A modified Engel expansion of the golden ratio (1/2)*(1 + sqrt(5)) (A001622).at n=12A220398
• Number of perfect matchings in the P_5 X C_{2n} graph.at n=2A253150
• Numbers such that the product of their digits is equal to 10 times the sum of their prime factors, without multiplicity.at n=18A306313
• G.f. A(x) satisfies: 1 = Sum_{n>=0} ( 1/(1-x)^(2*n) - A(x) )^n.at n=5A326262
• Clique covering number, independence number, and Shannon capacity of the n-Lucas cube graph.at n=23A364587