52416

Appears in sequences

• Order of the group SL(2,Z_n).at n=38A000056
• High temperature series for internal energy for spherical model on f.c.c. lattice.at n=6A003498
• Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (3,k)-perfect numbers.at n=24A019292
• Expansion of Product_{m>=1} (1 + m*q^m)^-3.at n=20A022695
• a(n) = (n+1)*binomial(n+5, 5).at n=11A027810
• Duplicate of A027810.at n=11A051922
• Order of commutator subgroup of GL(2,Z_n) (invertible 2 X 2 matrices mod n: A000252).at n=38A065430
• Coefficients in expansion of Eisenstein series -q*E'_2.at n=38A076835
• Number of 5-tuples (v1,v2,v3,v4,v5) of nonnegative integers less than n such that v1 <= v4, v1 <= v5, v2 <= v4, v2 <= v5 and v3 <= v4.at n=12A085463
• Number of conjugacy classes in the group GL(3,Z_n).at n=38A086768
• Numbers n which when converted to base 5, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded.at n=14A091079
• Number of ways to change three non-identical letters in the word aabbccdd..., where there are n types of letters.at n=26A102860
• Numbers k such that phi(sum of the proper divisors of k) = k.at n=0A107654
• Product of n^2 and n-th tetrahedral number: a(n) = n^3*(n+1)*(n+2)/6.at n=12A119771
• Triangle read by rows: T(n,m)=A060187(1+n,1+m) *n! / (n-m)!at n=37A177429
• Total number of possible knight moves on an n X n X n chessboard, if the knight is placed anywhere.at n=12A180413
• a(n) = coefficient of sqrt(3) in the expansion of (1 + sqrt(2) + sqrt(3))^n sequence.at n=9A188572
• Numbers with prime factorization pqr^2s^6.at n=7A190474
• Triangle read by rows, T(n,k) for 0<=k<=n, generalizes the Motzkin lattice paths with weights of A003645.at n=30A201639
• a(n) = v(n+1)/v(n), where v = A203521.at n=4A203522