45900

Appears in sequences

• Theta series of E_6 lattice.at n=26A004007
• a(n) = (2*n - 9)*n^2.at n=30A015243
• a(n) = n^3 + (n+1)^3 + (n+2)^3 + (n+3)^3.at n=21A027603
• a(n) = (n+1)*binomial(n+4, 4).at n=14A027800
• a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 4.at n=36A050055
• Sum of largest parts of all partitions of n into odd parts.at n=47A092322
• Numbers with prime factorization p*q^2*r^2*s^3 (where p, q, r, s are distinct primes).at n=16A190109
• Number of 3 X n 0..1 arrays with rows unimodal and antidiagonals nondecreasing.at n=14A224410
• Integer areas of the first Neuberg triangles of integer-sided triangles.at n=10A230758
• Number of 3-generalized 2-Motzkin paths of length n with no level steps H=(3,0) at odd level.at n=19A257515
• Number of orbits of Aut(Z^7) as function of the infinity norm n of the representative lattice point of the orbit, when the cardinality of the orbit is equal to 161280.at n=18A266395
• Magic sums of 4 X 4 magic squares composed of odd squares.at n=23A271582
• Coefficients in q-expansion of (E_2^3 - E_2*E_4)/288, where E_2 and E_4 are the Eisenstein series shown in A006352 and A004009, respectively.at n=10A282020
• Expansion of 1/(1 - Sum_{k = i^j, i>=1, j>=2} x^k).at n=31A282500
• a(n) = 4*(n - 1)*(16*n - 23) for n >= 1.at n=27A304378
• Integers i such that the equation A088387(i) = p has N > 1 solutions in the interval prevprime(i)..nextprime(i).at n=28A308617
• Triangular array read by rows: row n shows the coefficients of this polynomial of degree n: p(x,n) = 2^(n-1) ((x+r)^n - (x+s)^n)/(r - s), where r = 1 and s = 1/2.at n=47A327318
• a(n) = Product_{d|n, d>1} (d - 1).at n=51A377484
• Numbers k such that A380845(k) > 3*k.at n=29A380930
• a(n) = (2*n + 1)*(12 + 11*n + 93*n^2 + 4*n^3)/3.at n=8A387439