48103

Appears in sequences

• Let Oc(n) = A005900(n) = n-th octahedral number. Consider all integer triples (i,j,k), j >= k > 0, with Oc(i) = Oc(j)+Oc(k), ordered by increasing i; sequence gives j values.at n=6A053677
• a(n+3) = 6a(n+2) - 10a(n+1) + 3a(n); a(0) = 1, a(1) = 4, a(2) = 14.at n=9A104487
• Triangle T(n,k) read by rows: the coefficient [x^k] of the series (1-x)^(2n-1)*Sum_{l>=0} A001263(n+3*l,3*l+1)*x^l, in row n>=1 with exponents k>=0.at n=24A178658
• Diagonal sums of the Riordan matrix (1/(1-3*x^2),x/(1-x)) (A191582).at n=18A191584
• Expansion of Product_{k>=1} 1/(1 - x^k)^(d(k)-1), where d(k) = number of divisors of k (A000005).at n=37A318783
• Triangle read by rows: T(n,k) (n >= 5, 4 <= k <= n-1) = number of lattice 3-polytopes of width larger than 1, size n, and k vertices.at n=23A319958
• G.f.: Sum_{k>=0} x^(k^2) * Product_{j=1..k} 1/(1 - x^j)^3.at n=27A376709