-1330

Appears in sequences

• Expansion of Product (1 - x^k)^8 in powers of x.at n=32A000731
• Expansion of e.g.f.: x*cos(log(1+x)).at n=7A009024
• a(n) = 1 - n^3.at n=11A024001
• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^21 in powers of x.at n=3A047646
• a(n) = Sum_{d|n, d==1 mod 4} d^3 - Sum_{d|n, d==3 mod 4} d^3.at n=10A050459
• a(n) = Sum_{d|n, d==1 mod 4} d^3 - Sum_{d|n, d==3 mod 4} d^3.at n=21A050459
• a(n) = Sum_{d|n, d==1 mod 4} d^3 - Sum_{d|n, d==3 mod 4} d^3.at n=43A050459
• Multiplicative with a(p^e) = 1 - p^3.at n=10A063453
• Expansion of (1-x)/(1+x-2*x^2+2*x^3).at n=9A078040
• Expansion of q^(-1/3) * (eta(q)^8 + 8 * eta(q^4)^8) in powers of q^2.at n=16A153728
• Expansion of q^(-1/3) * (eta(q)^8 + 32 * eta(q^4)^8) in powers of q.at n=32A153729
• Triangle of coefficients of p(x,n) = (1/3)*(1-x)^(n+1)*Sum_{m >= 0} ((5*m+4)^n - (5*m+1)^n)*x^m, read by rows.at n=13A154855
• Expansion of f(q)^8 in powers of q where f() is a Ramanujan theta function.at n=32A161969
• a(n) = p(n) - p(n-1) - p(n-2) + p(n-5), where p(n) = A000041(n).at n=33A195054
• Expansion of (1 - t)*(1 + t)^x.at n=32A227342
• The integer-valued quartic beginning: 0, 9, 0, 9, 7.at n=7A241290
• Triangle read by rows, inverse Bell transform of second order Bell numbers (A187761).at n=39A264431
• Expansion of 1/(1 + x/(1 + x^8/(1 + x^27/(1 + x^64/(1 + x^125/(1 + ... + x^(k^3)/(1 + ...))))))), a continued fraction.at n=51A291169
• a(n) = A048250(n) * A345001(n).at n=36A344999