78624

Appears in sequences

• Number of ways of writing n as a sum of 8 squares.at n=17A000143
• Weight distribution of [ 28,14,9 ] ternary self-dual code.at n=4A002521
• Theta series of E_8 lattice with respect to deep hole.at n=16A004017
• Theta series of {D_8}* lattice.at n=17A008427
• Theta series of direct sum of 2 copies of D_4 lattice in powers of q^2.at n=10A008658
• cos(arcsinh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-210/6!*x^6+1260/7!*x^7...at n=9A012577
• Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=49A033688
• Number of degree-n permutations of order exactly 5.at n=10A059593
• Coefficients in expansion of Eisenstein series -q*E'_2.at n=35A076835
• Triangle read by rows: T(n,k) is the number of dissections of a convex n-gon by nonintersecting diagonals, having exactly k triangles (n >= 2, k >= 0).at n=60A090985
• a(0) = 1; for n>0, a(n) = 16 times sum of cubes of divisors of n.at n=17A092820
• Indices of highly composite triangular numbers.at n=26A101755
• Positive integers i for which A112049(i) == 9.at n=29A112069
• Sigma(A033631(n)) {sigma is the sum of divisors function A000203}.at n=14A115619
• a(n) is the smallest positive integer such that d(a(n))*d(a(n)+1) > d(a(n-1))*d(a(n-1)+1), where d(m) is the number of divisors of m and n > 1; a(1) = 1.at n=28A123000
• a(n) = number of elements of order n in simple group Alt(10) of order 1814400.at n=4A145770
• Floor of the integral of x/log(x) for x=2 to 10^n.at n=2A163568
• Numbers divisible by at least five of their digits, different and >1.at n=9A187533
• Number of rhombi on an n X n grid (or geoboard).at n=23A189418
• Numbers with prime factorization pqr^3s^5.at n=6A190475