34705

Appears in sequences

• Generalized Catalan numbers: a(n+1) = a(n) + Sum_{k=2..n-1} a(k)*a(n-1-k).at n=17A004149
• a(n) = Sum_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=a(2)=1 and a(3)=5.at n=14A024951
• Expansion of 1/((1-2x)(1-4x)(1-6x)(1-9x)).at n=4A025967
• a(n) = (2*n-1)*(5*n^2-5*n+6)/6.at n=27A063489
• a(n) = p(5n+4)/5 where p(k) denotes the k-th partition number.at n=9A071734
• Triangle of T(n,k)=number of peakless Motzkin paths of length n containing k valleys (can be easily expressed using RNA secondary structure terminology).at n=38A089738
• Duplicate of A071734.at n=9A160507
• Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n having k UHD's; here U=(1,1), H=(1,0), and D=(1,-1).at n=57A190172
• Number of (w,x,y,z) with all terms in {1,...,n} and 2|w-x|=|x-y|+|y-z|.at n=37A212575
• Numbers n such that 5n is a partition number.at n=14A217725
• Number of partitions of n with rank a multiple of 5.at n=48A363237