Sequences

392,541 sequences

Smallest number m such that m^m+1 is divisible by n.A009661
Smallest number m such that m^m+1 is divisible by n.
Expansion of tan(sin(x))*cos(x).A009662
Expansion of tan(sin(x))*cos(x).
Expansion of tan(sin(x))*cosh(x).A009663
Expansion of tan(sin(x))*cosh(x).
Expansion of tan(sin(x))*exp(x).A009664
Expansion of tan(sin(x))*exp(x).
E.g.f. tan(sin(x))*sin(x) (even powers only).A009665
E.g.f. tan(sin(x))*sin(x) (even powers only).
Expansion of tan(sin(x))*sinh(x).A009666
Expansion of tan(sin(x))*sinh(x).
E.g.f. tan(sin(x))*x, even numbered terms only.A009667
E.g.f. tan(sin(x))*x, even numbered terms only.
Expansion of tan(sin(x))/cos(x).A009668
Expansion of tan(sin(x))/cos(x).
Expansion of tan(sin(x))/cosh(x).A009669
Expansion of tan(sin(x))/cosh(x).
E.g.f. tan(sin(x)*cos(x)) (odd powers only).A009670
E.g.f. tan(sin(x)*cos(x)) (odd powers only).
Expansion of e.g.f. tan(sin(x)*cosh(x)), odd powers only.A009671
Expansion of e.g.f. tan(sin(x)*cosh(x)), odd powers only.
Expansion of e.g.f. tan(sin(x)*exp(x)).A009672
Expansion of e.g.f. tan(sin(x)*exp(x)).
Expansion of tan(sin(x)*x).A009673
Expansion of tan(sin(x)*x).
Expansion of tan(sin(x)/cosh(x)).A009674
Expansion of tan(sin(x)/cosh(x)).
Tan(sin(x)^2) = 2/2!*x^2 - 8/4!*x^4 + 272/6!*x^6 - 13568/8!*x^8 + ...A009675
Tan(sin(x)^2) = 2/2!*x^2 - 8/4!*x^4 + 272/6!*x^6 - 13568/8!*x^8 + ...
Expansion of tan(sinh(log(1+x))).A009676
Expansion of tan(sinh(log(1+x))).
Expansion of e.g.f. tan(sinh(sin(x))), odd powers only.A009677
Expansion of e.g.f. tan(sinh(sin(x))), odd powers only.
Expansion of tan(sinh(tan(x))).A009678
Expansion of tan(sinh(tan(x))).
Number of partitions of {1, ..., 2n} into coprime pairs.A009679
Number of partitions of {1, ..., 2n} into coprime pairs.
E.g.f. tan(sinh(x))*cos(x) (odd powers only).A009680
E.g.f. tan(sinh(x))*cos(x) (odd powers only).
Expansion of tan(sinh(x))*exp(x).A009681
Expansion of tan(sinh(x))*exp(x).
Expansion of tan(sinh(x))*sin(x).A009682
Expansion of tan(sinh(x))*sin(x).
Expansion of tan(sinh(x))*x.A009683
Expansion of tan(sinh(x))*x.
Expansion of tan(sinh(x))/cos(x) (odd powers only).A009684
Expansion of tan(sinh(x))/cos(x) (odd powers only).
Expansion of e.g.f. tan(sinh(x)*cos(x)), odd powers only.A009685
Expansion of e.g.f. tan(sinh(x)*cos(x)), odd powers only.
Expansion of tan(sinh(x).exp(x)).A009686
Expansion of tan(sinh(x).exp(x)).
Expansion of e.g.f. tan(sinh(x)*sin(x))/2 in odd powers of x^2.A009687
Expansion of e.g.f. tan(sinh(x)*sin(x))/2 in odd powers of x^2.
Expansion of tan(sinh(x)/cos(x)).A009688
Expansion of tan(sinh(x)/cos(x)).
Expansion of tan(tan(log(1+x))).A009689
Expansion of tan(tan(log(1+x))).
Expansion of tan(tan(sin(x))).A009690
Expansion of tan(tan(sin(x))).
Expansion of tan(tan(sinh(x))) (odd powers only).A009691
Expansion of tan(tan(sinh(x))) (odd powers only).
Number of partitions of {1, 2, ..., 2n} into pairs whose differences are primes.A009692
Number of partitions of {1, 2, ..., 2n} into pairs whose differences are primes.
Expansion of tan(tan(tanh(x))).A009693
Expansion of tan(tan(tanh(x))).
a(n) = Product_{i=0..7} floor((n+i)/8).A009694
a(n) = Product_{i=0..7} floor((n+i)/8).
Expansion of tan(tan(x))*cos(x) (odd powers only).A009695
Expansion of tan(tan(x))*cos(x) (odd powers only).
Expansion of tan(tan(x))*cosh(x) (odd powers only).A009696
Expansion of tan(tan(x))*cosh(x) (odd powers only).
Expansion of tan(tan(x))*exp(x).A009697
Expansion of tan(tan(x))*exp(x).
Expansion of tan(tan(x))*sin(x).A009698
Expansion of tan(tan(x))*sin(x).
Expansion of tan(tan(x))*sinh(x).A009699
Expansion of tan(tan(x))*sinh(x).
Expansion of tan(tan(x))*x.A009700
Expansion of tan(tan(x))*x.
Expansion of e.g.f. tan(tan(x))/cos(x), odd powers only.A009701
Expansion of e.g.f. tan(tan(x))/cos(x), odd powers only.
Expansion of tan(tan(x))/cosh(x) (odd powers only).A009702
Expansion of tan(tan(x))/cosh(x) (odd powers only).
Expansion of tan(tan(x)*cosh(x)).A009703
Expansion of tan(tan(x)*cosh(x)).
Expansion of tan(tan(x).exp(x)).A009704
Expansion of tan(tan(x).exp(x)).
E.g.f. tan(tan(x)*sin(x)), even powers only.A009705
E.g.f. tan(tan(x)*sin(x)), even powers only.
tan(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4+382/6!*x^6+23352/8!*x^8...A009706
tan(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4+382/6!*x^6+23352/8!*x^8...
Expansion of e.g.f. tan(tan(x)*x) (even powers only).A009707
Expansion of e.g.f. tan(tan(x)*x) (even powers only).
Expansion of tan(tan(x)/cos(x)).A009708
Expansion of tan(tan(x)/cos(x)).
E.g.f. tan(tan(x)/cosh(x)), odd powers only.A009709
E.g.f. tan(tan(x)/cosh(x)), odd powers only.
E.g.f. tan(tan(x)^2) (even powers only).A009710
E.g.f. tan(tan(x)^2) (even powers only).