Sequences
392,541 sequences
- sin(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-10/6!*x^6-2872/8!*x^8...A012611
sin(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-10/6!*x^6-2872/8!*x^8...
- arcsin(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+230/6!*x^6+3848/8!*x^8...A012612
arcsin(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+230/6!*x^6+3848/8!*x^8...
- tan(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+350/6!*x^6+7208/8!*x^8...A012613
tan(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+350/6!*x^6+7208/8!*x^8...
- arctan(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-130/6!*x^6-6232/8!*x^8...A012614
arctan(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-130/6!*x^6-6232/8!*x^8...
- cos(arcsinh(x)*tan(x))=1-12/4!*x^4-120/6!*x^6-5040/8!*x^8...A012615
cos(arcsinh(x)*tan(x))=1-12/4!*x^4-120/6!*x^6-5040/8!*x^8...
- arcsinh(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-10/6!*x^6-2872/8!*x^8...A012616
arcsinh(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-10/6!*x^6-2872/8!*x^8...
- E.g.f.: tanh(arcsinh(x)*tan(x)) = 2/2!*x^2+4/4!*x^4-130/6!*x^6-6232/8!*x^8...A012617
E.g.f.: tanh(arcsinh(x)*tan(x)) = 2/2!*x^2+4/4!*x^4-130/6!*x^6-6232/8!*x^8...
- arctanh(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+350/6!*x^6+7208/8!*x^8...A012618
arctanh(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+350/6!*x^6+7208/8!*x^8...
- cosh(arcsinh(x)*tan(x))=1+12/4!*x^4+120/6!*x^6+8400/8!*x^8...A012619
cosh(arcsinh(x)*tan(x))=1+12/4!*x^4+120/6!*x^6+8400/8!*x^8...
- sec(arcsinh(x)*tan(x))=1+12/4!*x^4+120/6!*x^6+15120/8!*x^8...A012620
sec(arcsinh(x)*tan(x))=1+12/4!*x^4+120/6!*x^6+15120/8!*x^8...
- sech(arcsinh(x)*tan(x))=1-12/4!*x^4-120/6!*x^6+1680/8!*x^8...A012621
sech(arcsinh(x)*tan(x))=1-12/4!*x^4-120/6!*x^6+1680/8!*x^8...
- Expansion of e.g.f. exp(arcsinh(x)*arctan(x)) (even powers only).A012622
Expansion of e.g.f. exp(arcsinh(x)*arctan(x)) (even powers only).
- sin(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+118/6!*x^6+168/8!*x^8...A012623
sin(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+118/6!*x^6+168/8!*x^8...
- arcsin(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+358/6!*x^6-19992/8!*x^8...A012624
arcsin(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+358/6!*x^6-19992/8!*x^8...
- tan(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+478/6!*x^6-30072/8!*x^8...A012625
tan(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+478/6!*x^6-30072/8!*x^8...
- arctan(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4-2/6!*x^6+10248/8!*x^8...A012626
arctan(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4-2/6!*x^6+10248/8!*x^8...
- Expansion of e.g.f. cos(arcsinh(x)*arctan(x)) (only even powers).A012627
Expansion of e.g.f. cos(arcsinh(x)*arctan(x)) (only even powers).
- arcsinh(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+118/6!*x^6+168/8!*x^8...A012628
arcsinh(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+118/6!*x^6+168/8!*x^8...
- Expansion of e.g.f. tanh(arcsinh(x)*arctan(x)) (only even powers).A012629
Expansion of e.g.f. tanh(arcsinh(x)*arctan(x)) (only even powers).
- arctanh(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+478/6!*x^6-30072/8!*x^8...A012630
arctanh(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+478/6!*x^6-30072/8!*x^8...
- Expansion of e.g.f. cosh(arcsinh(x)*arctan(x)) (only even powers).A012631
Expansion of e.g.f. cosh(arcsinh(x)*arctan(x)) (only even powers).
- Expansion of e.g.f. sec(arcsinh(x)*arctan(x)) (only even powers).A012632
Expansion of e.g.f. sec(arcsinh(x)*arctan(x)) (only even powers).
- Expansion of e.g.f. sech(arcsinh(x)*arctan(x)) (only even powers).A012633
Expansion of e.g.f. sech(arcsinh(x)*arctan(x)) (only even powers).
- E.g.f.: exp(arcsinh(x)*cos(x))=1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4-15/5!*x^5...A012634
E.g.f.: exp(arcsinh(x)*cos(x))=1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4-15/5!*x^5...
- sin(arcsinh(x)*cos(x))=x-5/3!*x^3+65/5!*x^5-2221/7!*x^7+119873/9!*x^9...A012635
sin(arcsinh(x)*cos(x))=x-5/3!*x^3+65/5!*x^5-2221/7!*x^7+119873/9!*x^9...
- arcsin(arcsinh(x)*cos(x))=x-3/3!*x^3-7/5!*x^5+133/7!*x^7+21233/9!*x^9...A012636
arcsin(arcsinh(x)*cos(x))=x-3/3!*x^3-7/5!*x^5+133/7!*x^7+21233/9!*x^9...
- tan(arcsinh(x)*cos(x))=x-2/3!*x^3-40/5!*x^5+824/7!*x^7+34880/9!*x^9...A012637
tan(arcsinh(x)*cos(x))=x-2/3!*x^3-40/5!*x^5+824/7!*x^7+34880/9!*x^9...
- arctan(arcsinh(x)*cos(x))=x-6/3!*x^3+128/5!*x^5-7784/7!*x^7...A012638
arctan(arcsinh(x)*cos(x))=x-6/3!*x^3+128/5!*x^5-7784/7!*x^7...
- cos(arcsinh(x)*cos(x))=1-1/2!*x^2+17/4!*x^4-385/6!*x^6+15073/8!*x^8...A012639
cos(arcsinh(x)*cos(x))=1-1/2!*x^2+17/4!*x^4-385/6!*x^6+15073/8!*x^8...
- arcsinh(arcsinh(x)*cos(x))=x-5/3!*x^3+73/5!*x^5-3565/7!*x^7...A012640
arcsinh(arcsinh(x)*cos(x))=x-5/3!*x^3+73/5!*x^5-3565/7!*x^7...
- tanh(arcsinh(x)*cos(x))=x-6/3!*x^3+120/5!*x^5-6216/7!*x^7...A012641
tanh(arcsinh(x)*cos(x))=x-6/3!*x^3+120/5!*x^5-6216/7!*x^7...
- arctanh(arcsinh(x)*cos(x))=x-2/3!*x^3-32/5!*x^5+152/7!*x^7+48448/9!*x^9...A012642
arctanh(arcsinh(x)*cos(x))=x-2/3!*x^3-32/5!*x^5+152/7!*x^7+48448/9!*x^9...
- cosh(arcsinh(x)*cos(x))=1+1/2!*x^2-15/4!*x^4+225/6!*x^6-3423/8!*x^8...A012643
cosh(arcsinh(x)*cos(x))=1+1/2!*x^2-15/4!*x^4+225/6!*x^6-3423/8!*x^8...
- sec(arcsinh(x)*cos(x))=1+1/2!*x^2-11/4!*x^4-35/6!*x^6+7817/8!*x^8...A012644
sec(arcsinh(x)*cos(x))=1+1/2!*x^2-11/4!*x^4-35/6!*x^6+7817/8!*x^8...
- sech(arcsinh(x)*cos(x))=1-1/2!*x^2+21/4!*x^4-765/6!*x^6+53193/8!*x^8...A012645
sech(arcsinh(x)*cos(x))=1-1/2!*x^2+21/4!*x^4-765/6!*x^6+53193/8!*x^8...
- exp(arcsinh(x)*sinh(x))=1+2/2!*x^2+12/4!*x^4+160/6!*x^6+2576/8!*x^8...A012646
exp(arcsinh(x)*sinh(x))=1+2/2!*x^2+12/4!*x^4+160/6!*x^6+2576/8!*x^8...
- sin(arcsinh(x)*sinh(x))=2/2!*x^2-80/6!*x^6-1344/8!*x^8+14848/10!*x^10...A012647
sin(arcsinh(x)*sinh(x))=2/2!*x^2-80/6!*x^6-1344/8!*x^8+14848/10!*x^10...
- exp(arcsinh(x)*arcsinh(x))=1+2/2!*x^2+4/4!*x^4+8/6!*x^6-240/8!*x^8...A012648
exp(arcsinh(x)*arcsinh(x))=1+2/2!*x^2+4/4!*x^4+8/6!*x^6-240/8!*x^8...
- sin(arcsinh(x)*arcsinh(x))=2/2!*x^2-8/4!*x^4+8/6!*x^6+2112/8!*x^8...A012649
sin(arcsinh(x)*arcsinh(x))=2/2!*x^2-8/4!*x^4+8/6!*x^6+2112/8!*x^8...
- Expansion of e.g.f. sin(tanh(x) * log(x+1)).A012650
Expansion of e.g.f. sin(tanh(x) * log(x+1)).
- Expansion of e.g.f. arcsin(tanh(x) * log(x+1)).A012651
Expansion of e.g.f. arcsin(tanh(x) * log(x+1)).
- Expansion of e.g.f.: tan(tanh(x) * log(x+1)).A012652
Expansion of e.g.f.: tan(tanh(x) * log(x+1)).
- Expansion of e.g.f. arctan(tanh(x) * log(x+1)).A012653
Expansion of e.g.f. arctan(tanh(x) * log(x+1)).
- E.g.f.: sinh(tanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+280/6!*x^6...A012654
E.g.f.: sinh(tanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+280/6!*x^6...
- Expansion of e.g.f. arcsinh(tanh(x) * log(x+1)).A012655
Expansion of e.g.f. arcsinh(tanh(x) * log(x+1)).
- Expansion of e.g.f. tanh(tanh(x) * log(x+1)).A012656
Expansion of e.g.f. tanh(tanh(x) * log(x+1)).
- E.g.f.: sec(tanh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+90/6!*x^6-420/7!*x^7...A012657
E.g.f.: sec(tanh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+90/6!*x^6-420/7!*x^7...
- sech(tanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-90/6!*x^6+420/7!*x^7...A012658
sech(tanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-90/6!*x^6+420/7!*x^7...
- Expansion of e.g.f. arcsin(tanh(x) * exp(x)).A012659
Expansion of e.g.f. arcsin(tanh(x) * exp(x)).
- Expansion of e.g.f. arctan(tanh(x) * exp(x)).A012660
Expansion of e.g.f. arctan(tanh(x) * exp(x)).