Sequences
392,541 sequences
- Inverse of 1652nd cyclotomic polynomial.A015661
Inverse of 1652nd cyclotomic polynomial.
- Inverse of 1653rd cyclotomic polynomial.A015662
Inverse of 1653rd cyclotomic polynomial.
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among pairs.A015663
Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among pairs.
- Expansion of e.g.f. theta_3^(1/2).A015664
Expansion of e.g.f. theta_3^(1/2).
- Expansion of e.g.f. theta_3^(3/2).A015665
Expansion of e.g.f. theta_3^(3/2).
- Expansion of e.g.f. theta_3^(5/2).A015666
Expansion of e.g.f. theta_3^(5/2).
- Expansion of e.g.f. theta_3^(7/2).A015667
Expansion of e.g.f. theta_3^(7/2).
- Inverse of 1659th cyclotomic polynomial.A015668
Inverse of 1659th cyclotomic polynomial.
- Expansion of e.g.f. theta_3^(9/2).A015669
Expansion of e.g.f. theta_3^(9/2).
- Inverse of 1661st cyclotomic polynomial.A015670
Inverse of 1661st cyclotomic polynomial.
- Expansion of e.g.f. theta_3^(11/2).A015671
Expansion of e.g.f. theta_3^(11/2).
- Expansion of e.g.f. theta_3^(13/2).A015672
Expansion of e.g.f. theta_3^(13/2).
- Expansion of e.g.f. theta_3^(15/2).A015673
Expansion of e.g.f. theta_3^(15/2).
- Inverse of 1665th cyclotomic polynomial.A015674
Inverse of 1665th cyclotomic polynomial.
- Expansion of e.g.f. theta_3^(17/2).A015675
Expansion of e.g.f. theta_3^(17/2).
- Expansion of e.g.f. theta_3^(19/2).A015676
Expansion of e.g.f. theta_3^(19/2).
- Expansion of e.g.f. theta_3^(21/2).A015677
Expansion of e.g.f. theta_3^(21/2).
- Expansion of e.g.f. theta_3^(23/2).A015678
Expansion of e.g.f. theta_3^(23/2).
- Expansion of e.g.f. theta_3^(25/2).A015679
Expansion of e.g.f. theta_3^(25/2).
- Expansion of e.g.f. theta_3^(-1/2).A015680
Expansion of e.g.f. theta_3^(-1/2).
- Inverse of 1672nd cyclotomic polynomial.A015681
Inverse of 1672nd cyclotomic polynomial.
- Expansion of e.g.f. theta_3^(-3/2).A015682
Expansion of e.g.f. theta_3^(-3/2).
- Expansion of e.g.f. theta_3^(-5/2).A015683
Expansion of e.g.f. theta_3^(-5/2).
- Expansion of e.g.f. theta_3^(-7/2).A015684
Expansion of e.g.f. theta_3^(-7/2).
- Expansion of e.g.f. theta_3^(-9/2).A015685
Expansion of e.g.f. theta_3^(-9/2).
- Inverse of 1677th cyclotomic polynomial.A015686
Inverse of 1677th cyclotomic polynomial.
- Expansion of e.g.f. theta_3^(-11/2).A015687
Expansion of e.g.f. theta_3^(-11/2).
- Inverse of 1679th cyclotomic polynomial.A015688
Inverse of 1679th cyclotomic polynomial.
- Inverse of 1680th cyclotomic polynomial.A015689
Inverse of 1680th cyclotomic polynomial.
- Expansion of e.g.f. theta_3^(-13/2).A015690
Expansion of e.g.f. theta_3^(-13/2).
- Expansion of e.g.f. theta_3^(-15/2).A015691
Expansion of e.g.f. theta_3^(-15/2).
- Inverse of 1683rd cyclotomic polynomial.A015692
Inverse of 1683rd cyclotomic polynomial.
- Expansion of e.g.f. theta_3^(-17/2).A015693
Expansion of e.g.f. theta_3^(-17/2).
- Expansion of e.g.f. theta_3^(-19/2).A015694
Expansion of e.g.f. theta_3^(-19/2).
- Expansion of e.g.f. theta_3^(-21/2).A015695
Expansion of e.g.f. theta_3^(-21/2).
- Expansion of e.g.f. theta_3^(-23/2).A015696
Expansion of e.g.f. theta_3^(-23/2).
- Expansion of e.g.f. theta_3^(-25/2).A015697
Expansion of e.g.f. theta_3^(-25/2).
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among pairs.A015698
Number of 5-tuples of different integers from [ 1,n ] with no common factors among pairs.
- Number of 5-tuples of different integers from [ 2,n ] with no common factors among pairs.A015699
Number of 5-tuples of different integers from [ 2,n ] with no common factors among pairs.
- Inverse of 1691st cyclotomic polynomial.A015700
Inverse of 1691st cyclotomic polynomial.
- From iteration of the Galton-Watson branching process.A015701
From iteration of the Galton-Watson branching process.
- Numbers k where phi(k) + sigma(k) increases to a record value.A015702
Numbers k where phi(k) + sigma(k) increases to a record value.
- Inverse of 1694th cyclotomic polynomial.A015703
Inverse of 1694th cyclotomic polynomial.
- a(n) is the smallest number m such that phi(m) + sigma(m) = n*m.A015704
a(n) is the smallest number m such that phi(m) + sigma(m) = n*m.
- Geometric mean of phi(n) and sigma(n) is an integer, n odd.A015705
Geometric mean of phi(n) and sigma(n) is an integer, n odd.
- Odd numbers k that divide phi(k)*sigma(k).A015706
Odd numbers k that divide phi(k)*sigma(k).
- Values of n where (phi(n) * sigma(n))/n is an integer and increases.A015707
Values of n where (phi(n) * sigma(n))/n is an integer and increases.
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.A015708
Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.
- Composite n such that phi(n) * sigma(n) is one less than a square.A015709
Composite n such that phi(n) * sigma(n) is one less than a square.
- Least k >= 0 such that phi(n) * sigma(n) + k^2 is a perfect square, or -1 if impossible.A015710
Least k >= 0 such that phi(n) * sigma(n) + k^2 is a perfect square, or -1 if impossible.