29484

Appears in sequences

• Theta series of direct sum of 3 copies of hexagonal lattice.at n=32A008654
• Expansion of 1/((1-x)^4*(1-x^2)^2).at n=23A028346
• Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=34A033688
• A049031/2.at n=35A049032
• Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.at n=15A057545
• Numbers k such that sigma(k^2 + 1) == 0 (mod k).at n=37A067719
• a(n) = (n-1)(n-4)(n-9)...(n-k^2) where k^2 < n <= (k+1)^2.at n=21A080500
• G.f.: (x+4*x^3+x^5)/((1-x)^2*(1-x^2)^2*(1-x^3)).at n=33A083707
• Triangle of 3-Narayana numbers, N(n,k), for n >= 1, 0 <= k <= 2n-2.at n=30A087647
• Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A071665/A071666.at n=16A089874
• Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A071667/A071668.at n=15A089878
• Triangle read by rows of numbers b_{n,k}, n >= 2, 1 <= k < n such that (1/(1-q*t))*Product_{n,k} 1/(1 - q^n*t^k)^b_{n,k} = Sum_{i,j>=1} S_{i,j} q^i*t^j where S_{i,j} are entries in the table A008277 (the inverse Euler transformation of the table of Stirling numbers of the second kind).at n=39A112339
• Triangle read by rows of numbers b_{n,k}, n>=1, 1<=k<=n such that Product_{n,k} 1/(1-q^n t^k)^{b_{n,k}} = 1 + Sum_{i,j>=1} S_{i,j} q^i t^j where S_{i,j} are entries in the table A008277 (the inverse Euler transformation of the table of Stirling numbers of the second kind).at n=48A112340
• Numbers k such that k^2 is a palindrome when written in base 17.at n=41A118651
• Number of 4-ary Lyndon words of length n with exactly two 1s.at n=7A124810
• Triangle of number of 4-ary Lyndon words of length n containing exactly k 1s.at n=57A124814
• a(n) = Sum_{m=1..n-1} floor(m(n-2)/2)^2.at n=14A125849
• Expansion of s(q)^4 in powers of q where s() is a cubic AGM function.at n=17A133078
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (0, -1, 1), (0, 1, 1), (1, 1, 0)}.at n=8A150431
• Numbers with prime factorization pqr^2s^4.at n=32A190107