29002

Appears in sequences

• Expansion of (1+x^3*C^4)*C^4, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071741
• Number of partitions of n with rank 3 (the rank of a partition is the largest part minus the number of parts).at n=57A101200
• G.f.: Sum_{n>=0} x^n * Product_{k=1..n} (n + k*x) / (1 + n*x + k*x^2).at n=7A204066
• Number of binary arrays of length n+11 with no more than 6 ones in any length 12 subsequence (=50% duty cycle).at n=4A212400
• Number of binary arrays of length 2*n+4 with no more than n ones in any length 2n subsequence (=50% duty cycle).at n=5A212406
• Number of partitions of 3 copies of n into distinct parts.at n=21A258281