36234

Appears in sequences

• G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=41A003405
• Number of partitions of n that do not contain 9 as a part.at n=41A027343
• Number of basis partitions of n+49 with Durfee square size 7.at n=30A053802
• A coefficients of characteristic polynomials of A_n Cartan matrices times their transposes: t(n,m,d)=If[ n == m, 2, If[n == m - 1 || n == m + 1, -1, 0]]. M(d)=t(n,m,d)*Transpose[t(n,m,d)].at n=38A158199
• Number of 3 X n 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.at n=14A224159
• Numbers k such that k = x + y, k' = x' + y' and k'' = x'' + y'', where k' and k'' are the first and second arithmetic derivatives of k.at n=13A293252
• a(n) is the least positive number that can be written in exactly n ways as 3*x*y^2 - x^3 where x and y are positive integers.at n=4A364974