Sequences
392,541 sequences
- a(n) = 5^n - 4^n.A005060
a(n) = 5^n - 4^n.
- a(n) = 4^n - 3^n.A005061
a(n) = 4^n - 3^n.
- a(n) = 6^n - 5^n.A005062
a(n) = 6^n - 5^n.
- Sum of squares of primes dividing n.A005063
Sum of squares of primes dividing n.
- Sum of cubes of primes dividing n.A005064
Sum of cubes of primes dividing n.
- Sum of 4th powers of primes dividing n.A005065
Sum of 4th powers of primes dividing n.
- Sum of squares of odd primes dividing n.A005066
Sum of squares of odd primes dividing n.
- Sum of cubes of odd primes dividing n.A005067
Sum of cubes of odd primes dividing n.
- Sum of 4th powers of odd primes dividing n.A005068
Sum of 4th powers of odd primes dividing n.
- Sum of odd primes dividing n.A005069
Sum of odd primes dividing n.
- Sum of primes == 1 (mod 3) dividing n.A005070
Sum of primes == 1 (mod 3) dividing n.
- Sum of squares of primes = 1 mod 3 dividing n.A005071
Sum of squares of primes = 1 mod 3 dividing n.
- Sum of cubes of primes = 1 mod 3 dividing n.A005072
Sum of cubes of primes = 1 mod 3 dividing n.
- Sum of 4th powers of primes = 1 mod 3 dividing n.A005073
Sum of 4th powers of primes = 1 mod 3 dividing n.
- Sum of primes = 2 mod 3 dividing n.A005074
Sum of primes = 2 mod 3 dividing n.
- Sum of squares of primes = 2 mod 3 dividing n.A005075
Sum of squares of primes = 2 mod 3 dividing n.
- Sum of cubes of primes = 2 mod 3 dividing n.A005076
Sum of cubes of primes = 2 mod 3 dividing n.
- Sum of 4th powers of primes = 2 mod 3 dividing n.A005077
Sum of 4th powers of primes = 2 mod 3 dividing n.
- Sum of primes = 1 mod 4 dividing n.A005078
Sum of primes = 1 mod 4 dividing n.
- Sum of squares of primes = 1 mod 4 dividing n.A005079
Sum of squares of primes = 1 mod 4 dividing n.
- Sum of cubes of primes = 1 mod 4 dividing n.A005080
Sum of cubes of primes = 1 mod 4 dividing n.
- Sum of 4th powers of primes = 1 mod 4 dividing n.A005081
Sum of 4th powers of primes = 1 mod 4 dividing n.
- Sum of primes = 3 mod 4 dividing n.A005082
Sum of primes = 3 mod 4 dividing n.
- Sum of squares of primes = 3 mod 4 dividing n.A005083
Sum of squares of primes = 3 mod 4 dividing n.
- Sum of cubes of primes = 3 mod 4 dividing n.A005084
Sum of cubes of primes = 3 mod 4 dividing n.
- Sum of 4th powers of primes = 3 mod 4 dividing n.A005085
Sum of 4th powers of primes = 3 mod 4 dividing n.
- Number of Fibonacci numbers 1,2,3,5,... dividing n.A005086
Number of Fibonacci numbers 1,2,3,5,... dividing n.
- Number of distinct odd primes dividing n.A005087
Number of distinct odd primes dividing n.
- Number of primes = 1 mod 3 dividing n.A005088
Number of primes = 1 mod 3 dividing n.
- Number of distinct primes == 1 (mod 4) dividing n.A005089
Number of distinct primes == 1 (mod 4) dividing n.
- Number of primes == 2 mod 3 dividing n.A005090
Number of primes == 2 mod 3 dividing n.
- Number of distinct primes = 3 mod 4 dividing n.A005091
Number of distinct primes = 3 mod 4 dividing n.
- Sum of Fibonacci numbers 1,2,3,5,... that divide n.A005092
Sum of Fibonacci numbers 1,2,3,5,... that divide n.
- Sum of squares of Fibonacci numbers 1,2,3,5,... that divide n.A005093
Sum of squares of Fibonacci numbers 1,2,3,5,... that divide n.
- Number of distinct primes of the form 4k+1 dividing n minus number of distinct primes of the form 4k+3 dividing n.A005094
Number of distinct primes of the form 4k+1 dividing n minus number of distinct primes of the form 4k+3 dividing n.
- a(n) = n! + n.A005095
a(n) = n! + n.
- a(n) = n! - n.A005096
a(n) = n! - n.
- (Odd primes - 1)/2.A005097
(Odd primes - 1)/2.
- Numbers k such that 4k + 1 is prime.A005098
Numbers k such that 4k + 1 is prime.
- (( Primes == -1 (mod 4) ) + 1)/4.A005099
(( Primes == -1 (mod 4) ) + 1)/4.
- Deficient numbers: numbers k such that sigma(k) < 2k.A005100
Deficient numbers: numbers k such that sigma(k) < 2k.
- Abundant numbers (sum of divisors of m exceeds 2m).A005101
Abundant numbers (sum of divisors of m exceeds 2m).
- Minimal determinant of any n-dimensional norm 2 lattice.A005102
Minimal determinant of any n-dimensional norm 2 lattice.
- Minimal determinant of n-dimensional norm 3 lattice.A005103
Minimal determinant of n-dimensional norm 3 lattice.
- Minimal determinant of n-dimensional norm 4 lattice.A005104
Minimal determinant of n-dimensional norm 4 lattice.
- Class 1+ primes: primes of the form 2^i*3^j - 1 with i, j >= 0.A005105
Class 1+ primes: primes of the form 2^i*3^j - 1 with i, j >= 0.
- Class 2+ primes (for definition see A005105).A005106
Class 2+ primes (for definition see A005105).
- Class 3+ primes (for definition see A005105).A005107
Class 3+ primes (for definition see A005105).
- Class 4+ primes (for definition see A005105).A005108
Class 4+ primes (for definition see A005105).
- Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.A005109
Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.