36162

Appears in sequences

• a(n) = n*(n+1)^2/2.at n=41A006002
• Nearest integer to Gamma(n + 4/11)/Gamma(4/11).at n=9A020011
• a(n) = floor(Gamma(n+4/11)/Gamma(4/11)).at n=9A020056
• Number of unlabeled and connected graphs on n vertices which are semi-P4-sparse (G is semi-P4-sparse iff G has no induced P5, House, or complement of a fork).at n=10A079469
• Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 2 ones in any 3 X 3 X 3 subtriangle.at n=9A153913
• 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=39A180292
• G.f. satisfies: A(x) = exp( Sum_{n>=1} A(x^n)/(1-x)^n * x^n/n ).at n=10A199104
• Left edge of the triangle A045975.at n=41A204556
• Numbers k such that (10^k + 47)/3 is prime.at n=21A294909
• Numbers that are the sum of four third powers in seven or more ways.at n=34A345150
• Numbers that are the sum of four third powers in eight or more ways.at n=8A345152
• Numbers that are the sum of four third powers in exactly eight ways.at n=7A345153
• Starts of runs of 3 consecutive numbers that have an equal number of even and odd exponents in their prime factorization (A187039).at n=16A348077
• Starts of runs of 3 consecutive numbers that have an equal number of unitary and nonunitary prime divisors (A348097).at n=32A348099
• a(n) = Sum_{k=1..n} k * floor(n/k)^3.at n=28A350108
• Site percolation series for triangular lattice: coefficients of the power series expansion in powers of q=1-p of the probability that a given open site belongs to the infinite cluster, where p is the probability that a site is open.at n=19A391391