47872

Appears in sequences

• Number of points of L1 norm 2n in Barnes-Wall lattice BW_16.at n=4A035596
• Number of points of l_1 norm n in the "diamond" lattice D^+_4.at n=33A035878
• Numerators of continued fraction convergents to sqrt(739).at n=8A042422
• a(n) = n^2*(n+1)*(2*n+1)/3.at n=15A098077
• Recurrence: a(n) = Sum_{k=0..n-1} (k+1)*(n-k)*a(k)*a(n-k-1) for n>0, with a(0)=1.at n=6A112915
• If X_1, ..., X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 3-subsets of X containing none of X_i, (i=1,...,n).at n=31A130809
• Initial term of a series of exactly n consecutive non-Niven (or Harshad) numbers.at n=27A144378
• a(n) = Sum_{k=0..floor((n-1)/2)} (3^k-1)*binomial(n, 2*k+1).at n=9A176758
• Numbers of the form p^8*q*r where p, q, and r are distinct primes.at n=31A179747
• Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y>3z.at n=34A212518
• 3-level binary fanout graph coloring a rectangular array: number of n X n 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,3 1,4 0,2 2,5 2,6 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=3A223416
• 3-level binary fanout graph coloring a rectangular array: number of n X 4 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,3 1,4 0,2 2,5 2,6 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=3A223419
• T(n,k)=3-level binary fanout graph coloring a rectangular array: number of nXk 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,3 1,4 0,2 2,5 2,6 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=24A223423
• Ninth arithmetic derivative of n.at n=56A258649
• Ninth arithmetic derivative of n.at n=60A258649
• Tenth arithmetic derivative of n.at n=36A258650
• Tenth arithmetic derivative of n.at n=52A258650
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 483", based on the 5-celled von Neumann neighborhood.at n=16A288591
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 502", based on the 5-celled von Neumann neighborhood.at n=15A288767
• a(0) = 1; a(n) = Sum_{k=1..n} -lambda(k+1)*a(n-k), where lambda() is the Liouville function (A008836).at n=28A307240