Sequences
392,541 sequences
- n written in fractional base 10/6.A024661
n written in fractional base 10/6.
- n written in fractional base 10/7.A024662
n written in fractional base 10/7.
- n written in fractional base 10/8.A024663
n written in fractional base 10/8.
- n written in fractional base 10/9.A024664
n written in fractional base 10/9.
- Positions of even numbers in A003325.A024665
Positions of even numbers in A003325.
- Positions of odd numbers in A003325.A024666
Positions of odd numbers in A003325.
- a(n) = position of 2*n^3 in A003325.A024667
a(n) = position of 2*n^3 in A003325.
- Position of 1 + n^3 in A003325.A024668
Position of 1 + n^3 in A003325.
- Position of n^3 + (n+1)^3 in A003325.A024669
Position of n^3 + (n+1)^3 in A003325.
- Numbers that are sums of 2 distinct positive cubes.A024670
Numbers that are sums of 2 distinct positive cubes.
- Positions of even numbers in A024670 (distinct sums of cubes of distinct positive integers).A024671
Positions of even numbers in A024670 (distinct sums of cubes of distinct positive integers).
- Positions of odd numbers in A024670 (distinct sums of cubes of distinct positive integers).A024672
Positions of odd numbers in A024670 (distinct sums of cubes of distinct positive integers).
- Position of 1 + n^3 in A024670 (distinct sums of cubes of distinct positive integers).A024673
Position of 1 + n^3 in A024670 (distinct sums of cubes of distinct positive integers).
- a(n) = position of n^3 + (n+1)^3 in A024670 (distinct sums of cubes of distinct positive integers).A024674
a(n) = position of n^3 + (n+1)^3 in A024670 (distinct sums of cubes of distinct positive integers).
- Average of two consecutive odd primes.A024675
Average of two consecutive odd primes.
- a(n) is the number of prime divisors (counted by multiplicity) of A024675(n).A024676
a(n) is the number of prime divisors (counted by multiplicity) of A024675(n).
- Smallest prime divisor of n-th terms of sequence A024675 (averages of two consecutive odd primes).A024677
Smallest prime divisor of n-th terms of sequence A024675 (averages of two consecutive odd primes).
- a(n) is the position of (prime(n+1) + prime(n+2))/2 in the ordered nonprimes.A024678
a(n) is the position of (prime(n+1) + prime(n+2))/2 in the ordered nonprimes.
- Positions of primes in A003136 (ordered distinct numbers i^2 - i*j + j^2).A024679
Positions of primes in A003136 (ordered distinct numbers i^2 - i*j + j^2).
- Number of ways prime(n) is a sum of 3 odd nonprimes r,s,t satisfying 1 <= r < s < t.A024680
Number of ways prime(n) is a sum of 3 odd nonprimes r,s,t satisfying 1 <= r < s < t.
- a(n) = number of ways p(n) is a sum of 3 odd nonprimes r,s,t satisfying 9 <= r < s < t.A024681
a(n) = number of ways p(n) is a sum of 3 odd nonprimes r,s,t satisfying 9 <= r < s < t.
- a(n) = number of ways p(n) is a sum of 3 odd nonprimes r,s,t satisfying 15 <= r < s < t.A024682
a(n) = number of ways p(n) is a sum of 3 odd nonprimes r,s,t satisfying 15 <= r < s < t.
- a(n) is the number of ways prime(n) is a sum of two composite numbers r,s satisfying r < s.A024683
a(n) is the number of ways prime(n) is a sum of two composite numbers r,s satisfying r < s.
- Number of ways prime(n) is a sum of three distinct primes.A024684
Number of ways prime(n) is a sum of three distinct primes.
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence).A024685
a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence).
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence).A024686
s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence).
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A000201 (lower Wythoff sequence), t = A023533.A024687
a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A000201 (lower Wythoff sequence), t = A023533.
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence), t = A014306.A024688
s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence), t = A014306.
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A001950 (upper Wythoff sequence).A024689
a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A001950 (upper Wythoff sequence).
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A001950 (upper Wythoff sequence), t = A023533.A024690
a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A001950 (upper Wythoff sequence), t = A023533.
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A001950 (upper Wythoff sequence), t = A014306.A024691
s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A001950 (upper Wythoff sequence), t = A014306.
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = floor((n+1)/2), s = A023533.A024692
a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = floor((n+1)/2), s = A023533.
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A023533, t = A014306.A024693
a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A023533, t = A014306.
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A023533, t = A000040.A024694
a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A023533, t = A000040.
- s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A014306.A024695
s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A014306.
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A014306, t = (primes).A024696
a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A014306, t = (primes).
- a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes.A024697
a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes.
- a(n) = (prime(n+1) - 1)/4 if this is an integer or (prime(n+1) + 1)/4 otherwise.A024698
a(n) = (prime(n+1) - 1)/4 if this is an integer or (prime(n+1) + 1)/4 otherwise.
- a(n) = (prime(n+2)-1)/6 if this is an integer or (prime(n+2)+ 1)/6 otherwise.A024699
a(n) = (prime(n+2)-1)/6 if this is an integer or (prime(n+2)+ 1)/6 otherwise.
- a(n) = (prime(n+2)^2 - 1)/3.A024700
a(n) = (prime(n+2)^2 - 1)/3.
- a(n) = (-1 + prime(n+1)^2)/4.A024701
a(n) = (-1 + prime(n+1)^2)/4.
- a(n) = (prime(n)^2 - 1)/24.A024702
a(n) = (prime(n)^2 - 1)/24.
- Prime divisors, including repetitions, of n-th term of A024702.A024703
Prime divisors, including repetitions, of n-th term of A024702.
- Positions of even numbers in A024702.A024704
Positions of even numbers in A024702.
- Positions of odd numbers in A024702.A024705
Positions of odd numbers in A024702.
- Positions of multiples of 3 in A024702.A024706
Positions of multiples of 3 in A024702.
- Positions of multiples of 5 in A024702.A024707
Positions of multiples of 5 in A024702.
- Number of distinct prime divisors of n-th term of A024702.A024708
Number of distinct prime divisors of n-th term of A024702.
- Least prime divisor of A024702(n).A024709
Least prime divisor of A024702(n).
- Greatest prime divisor of A024702(n).A024710
Greatest prime divisor of A024702(n).