42336

Appears in sequences

• E.g.f.: high-temperature series in J/2kT for ferromagnetic susceptibility for the spin-1/2 Heisenberg model on hexagonal lattice.at n=5A005399
• Triangle of coefficients of Laguerre polynomials L_n(x) (powers of x in decreasing order).at n=48A021010
• Number of possible rook moves on an n X n chessboard.at n=27A035006
• Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*12^j.at n=12A038278
• Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*7^j.at n=12A038333
• Maximal number of spanning trees in a planar graph with n nodes.at n=9A053572
• Numbers k that can be expressed as k = w+x = y*z with w*x = k*(y+z) where w, x, y, and z are all positive integers.at n=37A057371
• Numbers k such that sigma(k)+1 is a square and sets a new record for such squares.at n=43A063729
• Numbers m such that the sum of the first k divisors of m is equal to m for some k.at n=8A064510
• Numbers k that divide phi(k)^2 + sigma(k)^2.at n=40A068484
• Number of strings of length n over Z_6 with trace 0 and subtrace 1.at n=7A073972
• Number of strings of length n over Z_6 with trace 2 and subtrace 5.at n=7A073988
• a(n)=n^2 times nearest cube to n^2.at n=14A077112
• Triangle read by rows: T(n, m) = number of painted forests on labeled vertex set [n] with m trees. Also number of painted forests with exactly n - m edges.at n=41A106834
• n times n+9 gives the concatenation of two numbers m and m-7.at n=5A116245
• (k^2)-th k-smooth number for k = prime(n).at n=26A133581
• A128064 * A001263.at n=50A136535
• If (a_n) is a sequence then let L(a_n)=(b_n) where b_n = a_n^2 - a_{n-1} a_{n+1}. The given sequence is the rows of the triangle obtained by computing L^2(binomial(n,k)).at n=33A140982
• Numbers k > 9 with digits different from 0 and 1 such that both the sum of digits and the product of digits divide k.at n=15A172424
• Number of ways to place 3 nonattacking bishops on an n X n toroidal board.at n=8A177756