19074

Appears in sequences

• a(n) = n*(n+1)^2/2.at n=33A006002
• Theta series of A*_16 lattice.at n=32A023928
• a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence).at n=43A024685
• a(n) = position of 3*n^3 in A003072.at n=38A024970
• a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence).at n=42A025118
• Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=39A039881
• Least k for which the integers Floor(k/(m*(m+1))) for m=1,2,...,n are distinct.at n=37A054061
• Number of 2-sided n-triangular polyedges.at n=6A159867
• a(n) = 17*n*(n+1).at n=33A173308
• Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-2.at n=31A180292
• Left edge of the triangle A045975.at n=33A204556
• Number of (n+2) X 4 0..1 matrices with each 3 X 3 subblock idempotent.at n=16A224553
• A recursive sequence: a(n) = Fibonacci(n)*a(n-1) + 3.at n=6A238244
• Number of 7Xn arrays containing n copies of 0..7-1 with every element equal to or 1 greater than any west, northeast or northwest neighbors modulo 7 and the upper left element equal to 0.at n=15A267429
• Number of integer partitions of n with parts colored by {0, 1, 2} such that the sum of colors is congruent to 0 (mod 3).at n=16A389343
• Number of integer partitions of n with parts colored by {0, 1, 2} such that the sum of colors is congruent to 1 (mod 3).at n=16A390208