Sequences

392,541 sequences

Expansion of e.g.f. tan(x)/cosh(sin(x)), odd powers only.A009761
Expansion of e.g.f. tan(x)/cosh(sin(x)), odd powers only.
Expansion of tan(x)/cosh(tan(x)).A009762
Expansion of tan(x)/cosh(tan(x)).
a(n) is (n+1)!*(n+2)! times coefficient of x^n in (log(1-x))^-1.A009763
a(n) is (n+1)!*(n+2)! times coefficient of x^n in (log(1-x))^-1.
Expansion of e.g.f. tan(x)^2 (even powers only).A009764
Expansion of e.g.f. tan(x)^2 (even powers only).
Expansion of tan(x/cos(x)).A009765
Expansion of tan(x/cos(x)).
Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = Sum_{j=0..k} T(n-1,j).A009766
Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = Sum_{j=0..k} T(n-1,j).
Expansion of e.g.f. tan(x^2)/2 in odd powers of x^2.A009767
Expansion of e.g.f. tan(x^2)/2 in odd powers of x^2.
Expansion of e.g.f. tanh(exp(x)*x).A009768
Expansion of e.g.f. tanh(exp(x)*x).
Expansion of tanh(log(1+1/x)).A009769
Expansion of tanh(log(1+1/x)).
Expansion of tanh(log(1+log(1+x))).A009770
Expansion of tanh(log(1+log(1+x))).
Expansion of tanh(log(1+sin(x))).A009771
Expansion of tanh(log(1+sin(x))).
Expansion of tanh(log(1+sinh(x))).A009772
Expansion of tanh(log(1+sinh(x))).
Expansion of tanh(log(1+tan(x))).A009773
Expansion of tanh(log(1+tan(x))).
Expansion of e.g.f.: tanh(log(1+tanh(x))).A009774
Expansion of e.g.f.: tanh(log(1+tanh(x))).
Exponential generating function is tanh(log(1+x)).A009775
Exponential generating function is tanh(log(1+x)).
E.g.f.: tanh(log(1+x))*cos(x).A009776
E.g.f.: tanh(log(1+x))*cos(x).
E.g.f. tanh(log(1+x))*cosh(x).A009777
E.g.f. tanh(log(1+x))*cosh(x).
Expansion of e.g.f.: tanh(log(1+x))*exp(x).A009778
Expansion of e.g.f.: tanh(log(1+x))*exp(x).
Expansion of e.g.f.: tanh(log(1+x))*log(1+x).A009779
Expansion of e.g.f.: tanh(log(1+x))*log(1+x).
Expansion of tanh(log(1+x))/cos(x).A009780
Expansion of tanh(log(1+x))/cos(x).
Expansion of e.g.f.: tanh(log(1+x))/cosh(x).A009781
Expansion of e.g.f.: tanh(log(1+x))/cosh(x).
E.g.f.: expansion of tanh(log(1+x))/exp(x).A009782
E.g.f.: expansion of tanh(log(1+x))/exp(x).
Expansion of e.g.f.: tanh(log(1+x)*cos(x)).A009783
Expansion of e.g.f.: tanh(log(1+x)*cos(x)).
Expansion of tanh(log(1+x)*cosh(x)).A009784
Expansion of tanh(log(1+x)*cosh(x)).
Expansion of tanh(log(1+x)*exp(x)).A009785
Expansion of tanh(log(1+x)*exp(x)).
Expansion of tanh(log(1+x)/cos(x)).A009786
Expansion of tanh(log(1+x)/cos(x)).
Expansion of tanh(log(1+x)/cosh(x)).A009787
Expansion of tanh(log(1+x)/cosh(x)).
Expansion of e.g.f.: tanh(log(1+x)/exp(x)).A009788
Expansion of e.g.f.: tanh(log(1+x)/exp(x)).
Expansion of e.g.f.: tanh(log(1+x)^2).A009789
Expansion of e.g.f.: tanh(log(1+x)^2).
Expansion of tanh(sin(log(1+x))).A009790
Expansion of tanh(sin(log(1+x))).
E.g.f. tanh(sin(sin(x))) (odd powers only).A009791
E.g.f. tanh(sin(sin(x))) (odd powers only).
Expansion of tanh(sin(tan(x))).A009792
Expansion of tanh(sin(tan(x))).
Expansion of tanh(sin(x))*cos(x).A009793
Expansion of tanh(sin(x))*cos(x).
Expansion of tanh(sin(x))*exp(x).A009794
Expansion of tanh(sin(x))*exp(x).
Expansion of tanh(sin(x))*sin(x).A009795
Expansion of tanh(sin(x))*sin(x).
Expansion of tanh(sin(x))*tan(x).A009796
Expansion of tanh(sin(x))*tan(x).
Expansion of tanh(sin(x))/cos(x) (odd powers only).A009797
Expansion of tanh(sin(x))/cos(x) (odd powers only).
E.g.f. tanh(sin(x)*cos(x)) (odd powers only).A009798
E.g.f. tanh(sin(x)*cos(x)) (odd powers only).
E.g.f. tanh(sin(x)*exp(x)).A009799
E.g.f. tanh(sin(x)*exp(x)).
Expansion of tanh(sin(x)*x).A009800
Expansion of tanh(sin(x)*x).
E.g.f. tanh(sin(x)*sin(x)) (even powers only).A009801
E.g.f. tanh(sin(x)*sin(x)) (even powers only).
Expansion of tanh(sinh(log(1+x))).A009802
Expansion of tanh(sinh(log(1+x))).
Expansion of tanh(sinh(x))*exp(x).A009803
Expansion of tanh(sinh(x))*exp(x).
Expansion of tanh(sinh(x)*exp(x)).A009804
Expansion of tanh(sinh(x)*exp(x)).
Expansion of e.g.f. tanh(sinh(x)*sin(x))/2 in odd powers of x^2.A009805
Expansion of e.g.f. tanh(sinh(x)*sin(x))/2 in odd powers of x^2.
Expansion of tanh(tan(log(1+x))).A009806
Expansion of tanh(tan(log(1+x))).
Expansion of tanh(tan(sin(x))).A009807
Expansion of tanh(tan(sin(x))).
Expansion of tanh(tan(tan(x))).A009808
Expansion of tanh(tan(tan(x))).
Expansion of tanh(tan(x))*cos(x).A009809
Expansion of tanh(tan(x))*cos(x).
Expansion of e.g.f.: tanh(tan(x))*exp(x).A009810
Expansion of e.g.f.: tanh(tan(x))*exp(x).