44982

Appears in sequences

• Riordan array (1/sqrt(1-6x+5x^2),(1-3x-sqrt(1-6x+5x^2))/(2x)).at n=49A110165
• Values of y in solutions (x,y,z) to the Diophantine equation x^3-x^2+y^3-y^2=z^3-z^2, with 1<x<y<z arranged in order of increasing x.at n=16A138668
• a(n) = (7^n/n!^2) * Product_{k=0..n-1} (14k+3)*(14k+4).at n=2A185403
• Number of -n..n arrays x(0..3) of 4 elements with zero sum and elements alternately strictly increasing and strictly decreasing.at n=26A200058
• a(n) is the total number of down steps between the 2nd and 3rd up steps in all 2-Dyck paths of length 3*n. A 2-Dyck path is a nonnegative lattice path with steps (1, 2), (1, -1) that starts and ends at y = 0.at n=8A334640
• A008336(n) is divisible by the product of the primes p such that n/2 <= p < n; a(n) is the quotient.at n=52A370971
• a(n) = (1/2) * Sum_{k=0..floor(n/3)} 3^(n-2*k) * binomial(2*n-4*k+2,2*k+1).at n=7A387604