37265

Appears in sequences

• a(n+1) = Sum_{k=0..floor(n/3)} a(k) * a(n-k).at n=19A030032
• a(n) = n^4/2 - n^3 + 3*n^2/2 - n + 1 = (n^2 + 1)*(n^2 - 2*n + 2)/2.at n=17A058919
• Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n and having k platforms (i.e., UHD, UHHD, UHHHD, ..., where U=(1,1), D=(1,-1), H=(2,0)).at n=46A104546
• Sieve performed by successive iterations of steps where step m is: keep m terms, remove the next 3 and repeat; as m = 1,2,3,.. the remaining terms form this sequence.at n=22A112561
• Expansion of x*(1 + x^2 + x^4)/(1 - x - x^3 - x^5 - x^7).at n=24A117761
• Number of 0..n arrays x(0..5) of 6 elements with zero 4th differences.at n=29A200084
• a(n) = 32*n^2 - 56*n + 25.at n=35A272129
• Expansion of (-1 + Product_{k>=1} 1 / (1 - x^k))^5.at n=8A341223
• Centered square numbers which are sphenic numbers.at n=18A380882