20672

Appears in sequences

• Expansion of e.g.f. sinh(exp(x)*x).at n=8A009565
• Fibonacci sequence beginning 0, 8.at n=18A022091
• a(n) = 12^n - n^3.at n=4A024143
• a(n) = floor( n(n+1)(n+2)(n+3)(n+4) / (n+(n+1)+(n+2)+(n+3)+(n+4)) ).at n=16A032768
• Integer quotients of n(n + 1)(n + 2)(n + 3)(n + 4) / (n+(n+1)+(n+2)+(n+3)+(n+4)).at n=13A032770
• Positive integers of the form n(n+1)(n+2)(n+3)(n+4)/(n+(n+1)+(n+2)+(n+3)+(n+4)) that are a multiple of n.at n=9A032794
• Open 3-dimensional ball numbers (version 4): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2, 1/2, 1/2).at n=34A053596
• Denominators of convergents to Pi by Farey fractions.at n=50A063673
• a(n) = S(3*n,3)/S(n,3) where S(n,m) = Sum_{k=0..n} binomial(n,k)*Fibonacci(m*k).at n=2A087423
• Number of partitions of n^2 into squares not greater than n.at n=20A093115
• Numbers n such that n, n+1, n+2, n+3, n+4 are all of the form x^2+2*y^2 for nonnegative x, y.at n=14A096783
• a(n+1) = a(n)+floor(a(n)/3), a(1) = 3.at n=32A100585
• Triangle T(n,k) = Sum_{i=0..k} (-1)^(i+k)*binomial(k,i)*Sum_{j=0..n} (i+1)^j*(3n-3j+1) read by rows.at n=38A116923
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 0, 0), (0, 1, 1), (1, 0, -1)}.at n=10A148440
• Coefficients of expansion of "leading root" xi_0(y) of the partial theta function Sum_{n=0..oo} x^n y^{n(n-1)/2}.at n=12A195980
• Number of n X 3 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.at n=6A221196
• T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.at n=42A221200
• Number of numbers whose base-4/3 expansion (see A024631) has n digits.at n=32A245356
• Numbers which are representable as a sum of seventeen but no fewer consecutive nonnegative integers.at n=29A270302
• Number of triangles on a 4 X n grid.at n=12A296367