235416

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=8A001109
• Denominators of continued fraction convergents to sqrt(8).at n=15A041011
• a(n) = 34*a(n-1) - a(n-2); a(0)=0, a(1)=6.at n=4A082405
• a(n) = (2*Pell(n+1) - (1+(-1)^n))/4.at n=15A105635
• a(2n) = A011900(n), a(2n+1) = A001109(n+1).at n=15A113225
• Expansion of (1-x)/((1-x)^2 - x^2*(1+x)^2).at n=15A116404
• 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=35A120859
• a(n) = Product_{k=1..floor((n-1)/2)} (4 + 4*cos(k*Pi/n)^2).at n=16A152118
• G.f.: Sum_{n>=1} moebius(n)*x^n/(1 - A002203(n)*x^n + (-1)^n*x^(2*n)), where A002203 is the companion Pell numbers.at n=15A204385
• Square roots of [A055872/8]: Their square written in base 8, with some digit appended, is again a square.at n=17A204512
• Expansion of (1 + 6*x + 17*x^2 - x^3 - 3*x^4)/(1 - 6*x^2 + x^4).at n=13A227792
• Number triangle associated to Chebyshev polynomials of the second kind.at n=58A228161
• 128*n^7-192*n^5+80*n^3-8*n.at n=3A242852
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Chebyshev polynomial of the second kind U_{n}(x), evaluated at x=k.at n=62A323182
• T(n,k) are the values of a variant of the Chebyshev polynomials P(n,x) of order n evaluated at x = k, where T(n,k), n >= 0, k <= n is a triangle read by rows. P(0,x) = 1, P(1,x) = x, P(n,x) = x*P(n-1,x) - P(n-2,x).at n=34A357892
• Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of g.f. x/(1 - A002203(k)*x + (-1)^k*x^2).at n=63A383742