25325

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 16.at n=16A031604
• Polynomial (1/3)*n^3 + (9/2)*n^2 + (85/6)*n - 2.at n=38A073775
• Expansion of g.f. x*(1-6*x^2)/(1-3*x-2*x^2+6*x^3).at n=10A138017
• Triangle read by rows: T(n,k) = 2*k*T(n-1,n-1) + 1 (n >= 0, 0 <= k <= n), with T(0,0) = 1.at n=23A161380
• Antidiagonal sums of A163280.at n=33A163983
• a(n) = (3^(2*n+1) + 2^(n+2))/7.at n=5A176818
• a(n) = 2*binomial(n+4, 4) + n + 4.at n=21A177206
• Products of 3 evil primes (A027699) p,q,r, such that numbers p*q, p*r, q*r, and p*q*r are odious (A000069).at n=28A230353
• Triangle read by rows: row n gives coefficients of Schur polynomial Omega(n) in order of decreasing powers of x.at n=75A269750
• Number A(n,k) of up-down sequences with k copies each of 1,2,...,n; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=42A275784
• Number of alternating permutations of the multiset {1,1,2,2,...,n,n}.at n=6A275801
• E.g.f. A(x) satisfies A(x) = 1/( 1 - 3*x*exp(x*A(x)^2) )^(1/3).at n=5A380041
• G.f. satisfies A(x) = A(x^2) + A(x^2)^2*A(x^3)/A(x^6), with A(0) = 0 and A'(0) = 1.at n=42A382316