47088

Appears in sequences

• Number of partitions of n into parts not of the form 19k, 19k+8 or 19k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=43A035977
• Triangle read by rows: T(n,k) is the number of ternary sequences of length n containing k subsequences 000 (consecutively; n,k>=0).at n=38A119825
• Number of ternary words of length n with no 000's.at n=10A119826
• Expansion of (1 + x + x^2) / (1 - 3*x - 3*x^2).at n=8A123620
• Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1,-1), (-1,1), (-1,0), (0,1), (1,0), (1,1)}.at n=7A151322
• Array T(n,k) counting words with n letters drawn from a k-letter alphabet with no letter appearing thrice in a 3-letter subword.at n=58A265584
• Sum_{k=0..n} ((binomial(3*k,k)*binomial(2*n-k,n))/(2*k+1)).at n=7A270489
• Table read by rows: T(n,k) = number of k-gons, k >= 3, formed inside a square with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,m)/A006843(n,m), m = 1..A005728(n).at n=16A358889
• Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - log(1+2*x)/2) ).at n=7A370936
• Number of vertices of even degree in a cubic lattice n X n X n.at n=37A383585