31382

Appears in sequences

• (Terms in A028273)/2.at n=34A051298
• Expansion of (1+x^2*C^2)*C^4, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071723
• Number of (w,x,y,z) with all terms in {0,...,n} and (least gapsize)=1.at n=18A212894
• Sum_{k=0..n} A000041( binomial(n,k) ), where A000041(n) is the number of partitions of n.at n=7A226659
• Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=27A259002
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 435", based on the 5-celled von Neumann neighborhood.at n=34A272151
• a(n) = [x^n] (3*x + 1)*(1 - sqrt(1 - 4*x))/(2*x).at n=10A352681