40391

Appears in sequences

• a(n)^2 is a triangular number: a(n) = 6*a(n-1) - a(n-2) with a(0)=0, a(1)=1.at n=7A001109
• Numbers that are the sum of 5 positive 9th powers.at n=13A003394
• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 35 ones.at n=15A031803
• Denominators of continued fraction convergents to sqrt(8).at n=13A041011
• Denominators of continued fraction convergents to sqrt(32).at n=13A041053
• Indices of square numbers that are also hexagonal.at n=3A046176
• Table by antidiagonals of T(n,k)=n*T(n,k-1)-T(n,k-2) starting with T(n,1)=1.at n=71A073134
• Numerators of the continued fraction n-1/(n-1/...) [n times].at n=5A097690
• Diagonal sums of a Chebyshev number triangle.at n=12A101126
• a(n) = (2*Pell(n+1) - (1+(-1)^n))/4.at n=13A105635
• a(2n) = A011900(n), a(2n+1) = A001109(n+1).at n=13A113225
• Expansion of (1-x)/((1-x)^2 - x^2*(1+x)^2).at n=13A116404
• Dispersion of the sequence ([r*n] + 1: n >= 1), where r = 3 + 8^(1/2): square array D(n,m) (n, m >= 1), read by ascending antidiagonals.at n=27A120859
• a(n)=((2*Sqrt[2] + 3)^(2^(n - 1) - 1) - (3 - 2*Sqrt[2])^(2^(n - 1) - 1))/(4*Sqrt[2]).at n=3A139473
• Denominators of continued fraction convergents to sqrt(8/9).at n=7A144534
• a(n) = Product_{k=1..floor((n-1)/2)} (4 + 4*cos(k*Pi/n)^2).at n=14A152118
• Triangle T(n, k, m) = t(n, m)/(t(k, m)*t(n-k, m)), where t(n, k) = Product_{j=1..n} p(j, k+1), p(n, x) = Sum_{j=0..n} (-1)^j*A053122(n, j)*x^j, and m = 7, read by rows.at n=29A156601
• Triangle T(n, k, m) = t(n, m)/(t(k, m)*t(n-k, m)), where t(n, k) = Product_{j=1..n} p(j, k+1), p(n, x) = Sum_{j=0..n} (-1)^j*A053122(n, j)*x^j, and m = 7, read by rows.at n=34A156601
• Triangle read by rows, antidiagonals of an array (r,k), r=(0,1,2,...), generated from 2 X 2 matrices of the form [1,r; 1,(r+1)].at n=61A179943
• Numerators b(n) of Pythagorean approximations b(n)/a(n) to sqrt(8).at n=5A195539