39150

Appears in sequences

• Partial sums of n 3-spaced triangular numbers beginning with t(3), e.g., a(2) = t(3)+t(6) = 6+21 = 27.at n=28A085788
• Consider a Pythagorean triangle with sides a=u^2-v^2, b=2uv, c=u^2+v^2. The sequence is the area of the triangle when v=2, u=3,4,5,...at n=24A096382
• Row sums of triangle A096811, in which A096811(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-2).at n=37A096814
• G.f.: Product_{k>0} (1+x^k)/((1-x^k)*(1+x^(3k))*(1+x^(5k))).at n=30A100823
• A vector recursion designed around a factorial row sum : v(n)=if[odd,{1.n,n^2,...,n!-Sum[2^m,{m,0,n/2-1}],n!-Sum2^m,{m,0,n/2-1}],...n^2.n,1}],if[ even{1.n,n^2,...,n!-2Sum[2^m,{m,0,n/2-1}],...n^2.n,1}].at n=40A152937
• Total Wiener index of double-star trees with n nodes.at n=38A186235
• Triangle read by rows, defined by T(n,k)=binomial(n,k)*|Stirling1(n,k)|, 0<=k<=n.at n=63A187555
• Number of n X 3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically.at n=28A207106
• Numbers with the property that in their factorization over distinct terms of A050376, the sums of prime and nonprime terms of A050376 are equal.at n=26A241270
• Number of ternary palindromes of length 2n+1 having no (7/4)+ powers.at n=47A279625
• Numbers k such that d(k) > d(k+1) > d(k+2) > d(k+3) > d(k+4), where d(n) is the number of divisors of n.at n=2A364720
• a(n) is the number of integer triples (x,y,z) satisfying a system of linear inequalities and congruences specified in the comments.at n=43A370349