60705

Appears in sequences

• Denominators of continued fraction convergents to sqrt(63).at n=8A041111
• G.f.: 1/(1-2x-15x^2)^(1/2); also, a(n) is the central coefficient of (1+x+4x^2)^n.at n=8A084605
• Expansion of x * (1 - x) / (1 - 16*x + x^2).at n=4A157456
• a(n) = n^4 + 3*n^3 - 3*n.at n=14A192398
• Denominators of the rational convergents to the periodic continued fraction 1/(2 + 1/(7 + 1/(2 + 1/(7 + ...)))).at n=8A243469
• Numerators of the rational convergents to the periodic continued fraction 1/(2 + 1/(7 + 1/(2 + 1/(7 + ...)))).at n=8A243470
• Triangle read by rows, T(n,k) = 2^k*GegenbauerC(k,-n,-1/4), for n>=0 and 0<=k<=n.at n=44A272868
• Number of n X 2 0..1 arrays with no 1 equal to more than four of its king-move neighbors.at n=7A282310
• T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than four of its king-move neighbors.at n=37A282316
• T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than four of its king-move neighbors.at n=43A282316
• Triangle read by rows: T(n,k) = number of colored weighted Motzkin paths ending at (n,k).at n=36A293171
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 - 2*x + (1-4*k^2)*x^2).at n=63A307847
• Numbers m such that both m^2-1 and m^2 are refactorable numbers (A033950) and that m^2 has more divisors than m^2-1.at n=29A342970
• First component A of the pairs (A, B), listed in increasing order, such that the multiset of digits of A union the multiset of digits of B equals the multiset of digits of A^2 and the multiset of digits of B^2, for some B >= A. Note that terms may be repeated.at n=28A389379