117936

Appears in sequences

• a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k + 4).at n=5A004991
• Theta series of direct sum of 4 copies of hexagonal lattice.at n=17A008655
• Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.at n=16A057545
• Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A071667/A071668.at n=16A089878
• Integers with exactly 100 divisors.at n=5A163816
• Number of compositions of n into distinct parts where each part i is marked with a word of length i over a septenary alphabet whose letters appear in alphabetical order.at n=6A261845
• Coefficients in q-expansion of (3*E_2*E_4 - 2*E_6 - E_2^3)/1728, where E_2, E_4, E_6 are the Eisenstein series shown in A006352, A004009, A013973, respectively.at n=36A282097
• Maximum number of copies of a 12345 permutation pattern in an alternating (or zig-zag) permutation of length n + 7.at n=23A339355
• a(n) is the least number with exactly n divisors of the form 5*k+2.at n=25A364598
• a(n) is the least number with exactly n divisors of the form 5*k+3.at n=25A364599
• Expansion of e.g.f. (1/x) * Series_Reversion( x * (1 - x) * exp(-x/(1 - x)) ).at n=5A380663
• a(n) is the permanent of the symmetric n X n matrix M_n where M_n(j,k) = n for j = k, M_n(j,n) = n-j, M_n(n,k) = n-k, M_n(j,k) = 0 otherwise.at n=6A386974