Sequences

392,541 sequences

Expansion of e.g.f.: 1/cos(tanh(x)) (even-indexed coefficients only).A009011
Expansion of e.g.f.: 1/cos(tanh(x)) (even-indexed coefficients only).
Ordered long legs of Pythagorean triangles.A009012
Ordered long legs of Pythagorean triangles.
Expansion of E.g.f.: 1/(cosh(x)*cos(x)) (only powers that are multiples of 4).A009013
Expansion of E.g.f.: 1/(cosh(x)*cos(x)) (only powers that are multiples of 4).
Expansion of E.g.f.: (1 + x)/(1 + x + x^2/2).A009014
Expansion of E.g.f.: (1 + x)/(1 + x + x^2/2).
Expansion of e.g.f.: cos(x*cos(x)) (even powers only).A009015
Expansion of e.g.f.: cos(x*cos(x)) (even powers only).
Expansion of E.g.f.: cos(cosh(x)*x) (even powers only).A009016
Expansion of E.g.f.: cos(cosh(x)*x) (even powers only).
Expansion of e.g.f. cos(x*exp(x)).A009017
Expansion of e.g.f. cos(x*exp(x)).
Expansion of e.g.f.: cos(log(1+log(1+x))).A009018
Expansion of e.g.f.: cos(log(1+log(1+x))).
Expansion of cos(log(1 + sin(x))).A009019
Expansion of cos(log(1 + sin(x))).
Expansion of e.g.f.: cos(log(1 + sinh(x))).A009020
Expansion of e.g.f.: cos(log(1 + sinh(x))).
Expansion of e.g.f. cos(log(1+tan(x))).A009021
Expansion of e.g.f. cos(log(1+tan(x))).
Expansion of e.g.f. cos(log(1+tanh(x))).A009022
Expansion of e.g.f. cos(log(1+tanh(x))).
Long legs of Pythagorean triangles.A009023
Long legs of Pythagorean triangles.
Expansion of e.g.f.: x*cos(log(1+x)).A009024
Expansion of e.g.f.: x*cos(log(1+x)).
Expansion of e.g.f.: cos(log(1+x))/cos(x).A009025
Expansion of e.g.f.: cos(log(1+x))/cos(x).
Expansion of cos(log(1+x))/cosh(x).A009026
Expansion of cos(log(1+x))/cosh(x).
Expansion of cos(log(1+x))/exp(x).A009027
Expansion of cos(log(1+x))/exp(x).
Expansion of cos(log(1+x)*cos(x)).A009028
Expansion of cos(log(1+x)*cos(x)).
Expansion of cos(log(1+x)*cosh(x)).A009029
Expansion of cos(log(1+x)*cosh(x)).
Expansion of e.g.f. cos(log(1+x)*exp(x)).A009030
Expansion of e.g.f. cos(log(1+x)*exp(x)).
Expansion of cos(x*log(1+x)).A009031
Expansion of cos(x*log(1+x)).
Expansion of cos(log(1+x)/cos(x)).A009032
Expansion of cos(log(1+x)/cos(x)).
Expansion of e.g.f.: cos(log(1+x)/cosh(x)).A009033
Expansion of e.g.f.: cos(log(1+x)/cosh(x)).
Expansion of e.g.f. cos(log(1+x)/exp(x)).A009034
Expansion of e.g.f. cos(log(1+x)/exp(x)).
Expansion of e.g.f.: cos(log(1+x)^2).A009035
Expansion of e.g.f.: cos(log(1+x)^2).
Expansion of cos(sin(log(1+x))).A009036
Expansion of cos(sin(log(1+x))).
Expansion of E.g.f. cos(sin(sin(x))), even powers only.A009037
Expansion of E.g.f. cos(sin(sin(x))), even powers only.
Expansion of E.g.f. cos(sin(sinh(x))), even powers only.A009038
Expansion of E.g.f. cos(sin(sinh(x))), even powers only.
Expansion of E.g.f. cos(sin(tan(x))), even powers only.A009039
Expansion of E.g.f. cos(sin(tan(x))), even powers only.
Expansion of E.g.f. cos(sin(tanh(x))), even powers only.A009040
Expansion of E.g.f. cos(sin(tanh(x))), even powers only.
Ordered legs of Pythagorean triangles.A009041
Ordered legs of Pythagorean triangles.
Expansion of x*cos(sin(x)), odd terms only.A009042
Expansion of x*cos(sin(x)), odd terms only.
Expansion of cos(sin(x))/cos(x), even terms only.A009043
Expansion of cos(sin(x))/cos(x), even terms only.
Expansion of cos(sin(x))/cosh(x), even terms only.A009044
Expansion of cos(sin(x))/cosh(x), even terms only.
Expansion of cos(sin(x))/exp(x).A009045
Expansion of cos(sin(x))/exp(x).
Expansion of cos(sin(x)*cos(x)), even terms only.A009046
Expansion of cos(sin(x)*cos(x)), even terms only.
Expansion of cos(sin(x)*cosh(x)), even terms only.A009047
Expansion of cos(sin(x)*cosh(x)), even terms only.
Expansion of e.g.f. cos(sin(x)*exp(x)).A009048
Expansion of e.g.f. cos(sin(x)*exp(x)).
Expansion of cos(sin(x)*log(1+x)).A009049
Expansion of cos(sin(x)*log(1+x)).
Expansion of e.g.f. cos(x*sin(x)) (even power only).A009050
Expansion of e.g.f. cos(x*sin(x)) (even power only).
Expansion of e.g.f. cos(sin(x)/cosh(x)), even powers only.A009051
Expansion of e.g.f. cos(sin(x)/cosh(x)), even powers only.
Expansion of e.g.f. cos(sin(x)^2), even terms only.A009052
Expansion of e.g.f. cos(sin(x)^2), even terms only.
Expansion of e.g.f. cos(sinh(log(1+x))).A009053
Expansion of e.g.f. cos(sinh(log(1+x))).
Expansion of e.g.f. cos(sinh(sin(x))), even terms only.A009054
Expansion of e.g.f. cos(sinh(sin(x))), even terms only.
Expansion of e.g.f. cos(sinh(tan(x))), even terms only.A009055
Expansion of e.g.f. cos(sinh(tan(x))), even terms only.
Numbers >= 3.A009056
Numbers >= 3.
Expansion of e.g.f. x*cos(sinh(x)) (odd powers only).A009057
Expansion of e.g.f. x*cos(sinh(x)) (odd powers only).
Expansion of e.g.f. cos(sinh(x))/cos(x), even terms only.A009058
Expansion of e.g.f. cos(sinh(x))/cos(x), even terms only.
Expansion of e.g.f. cos(sinh(x))/exp(x).A009059
Expansion of e.g.f. cos(sinh(x))/exp(x).
Expansion of e.g.f. cos(sinh(x)*cos(x)), even terms only.A009060
Expansion of e.g.f. cos(sinh(x)*cos(x)), even terms only.