33345

Appears in sequences

• Expansion of Product_{k>=1} (1 - x^k)^21.at n=7A010827
• a(n) = Sum_{d|n} sigma(n/d)*d^3.at n=27A027847
• Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,1.at n=5A033126
• Positive numbers having the same set of digits in base 2 and base 8.at n=40A037413
• Sums of 4 distinct powers of 8.at n=7A038486
• Odd numbers k such that the number of 1's in binary representation of k equals omega(k), the number of distinct primes in the factorization of k.at n=34A071595
• a(n) = 1 + n^2 + n^3 + n^5.at n=7A123650
• Odd infinitary abundant numbers.at n=21A127666
• Number of (n+5) X 10 0..1 matrices with each 6 X 6 subblock idempotent.at n=12A224574
• Numbers n such that Sum_{i = 1..q} 1/d(i) is an integer where d(i) are the divisors of n for some q and n is primitive (the set {d(1), d(2), ..., d(q)} appears only once).at n=15A226853
• a(n) = coefficient of x^n in the expansion of Product_{k>=1} (1-x^k)^(3*n).at n=7A262539
• Bisection of A262539.at n=3A262541
• The least common multiple of 1 + n^2 and 1 + n^3.at n=8A281661
• Odd bi-unitary abundant numbers: odd numbers k such that bsigma(k) > 2*k, where bsigma is the sum of the bi-unitary divisors function (A188999).at n=24A293186
• Odd bi-unitary abundant numbers with a record small gap to the next term odd bi-unitary abundant number.at n=5A294027
• G.f. A(x) satisfies: A(x) = (1 + x) * A(x^2)*A(x^3)*A(x^5)* ... *A(x^prime(k))* ...at n=53A308272
• Odd infinitary abundant numbers whose infinitary abundancy is closer to 2 than that of any smaller odd infinitary abundant number.at n=2A335055
• Primitive abundant numbers version 2 (abundant numbers all of whose proper divisors are deficient numbers) and increasing any prime factor in the prime factorization gives a non-abundant number when factored back.at n=30A335557
• a(n) = Sum_{d|n} sigma(d)^3.at n=20A344044