Sequences

392,541 sequences

arctan(arctan(x)*exp(x)) = x + 2/2!*x^2 - 1/3!*x^3 - 28/4!*x^4 - 107/5!*x^5 + ...A012411
arctan(arctan(x)*exp(x)) = x + 2/2!*x^2 - 1/3!*x^3 - 28/4!*x^4 - 107/5!*x^5 + ...
cos(arctan(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-15/4!*x^4+20/5!*x^5...A012412
cos(arctan(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-15/4!*x^4+20/5!*x^5...
sinh(arctan(x)*exp(x)) = x + 2/2!*x^2 + 2/3!*x^3 + 8/4!*x^4 + 80/5!*x^5 +...A012413
sinh(arctan(x)*exp(x)) = x + 2/2!*x^2 + 2/3!*x^3 + 8/4!*x^4 + 80/5!*x^5 +...
Expansion of e.g.f. arcsinh(arctan(x) * exp(x)).A012414
Expansion of e.g.f. arcsinh(arctan(x) * exp(x)).
Expansion of e.g.f. tanh(arctan(x) * exp(x)).A012415
Expansion of e.g.f. tanh(arctan(x) * exp(x)).
arctanh(arctan(x)*exp(x))=x+2/2!*x^2+3/3!*x^3+20/4!*x^4+173/5!*x^5...A012416
arctanh(arctan(x)*exp(x))=x+2/2!*x^2+3/3!*x^3+20/4!*x^4+173/5!*x^5...
cosh(arctan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+17/4!*x^4+20/5!*x^5...A012417
cosh(arctan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+17/4!*x^4+20/5!*x^5...
Expansion of e.g.f.: sec(arctan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+100/5!*x^5...A012418
Expansion of e.g.f.: sec(arctan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+100/5!*x^5...
Expansion of e.g.f.: sech(arctan(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-11/4!*x^4+100/5!*x^5...A012419
Expansion of e.g.f.: sech(arctan(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-11/4!*x^4+100/5!*x^5...
exp(arctan(x)*sin(x))=1+2/2!*x^2-50/6!*x^6+56/8!*x^8+27178/10!*x^10...A012420
exp(arctan(x)*sin(x))=1+2/2!*x^2-50/6!*x^6+56/8!*x^8+27178/10!*x^10...
sin(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+70/6!*x^6+2856/8!*x^8...A012421
sin(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+70/6!*x^6+2856/8!*x^8...
arcsin(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+310/6!*x^6-17304/8!*x^8...A012422
arcsin(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+310/6!*x^6-17304/8!*x^8...
arctan(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4-50/6!*x^6+12936/8!*x^8...A012423
arctan(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4-50/6!*x^6+12936/8!*x^8...
Expansion of e.g.f. cos(arctan(x)*sin(x)) (only even powers).A012424
Expansion of e.g.f. cos(arctan(x)*sin(x)) (only even powers).
sinh(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+310/6!*x^6-17304/8!*x^8...A012425
sinh(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+310/6!*x^6-17304/8!*x^8...
arcsinh(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+70/6!*x^6+2856/8!*x^8...A012426
arcsinh(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+70/6!*x^6+2856/8!*x^8...
tanh(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4-50/6!*x^6+12936/8!*x^8...A012427
tanh(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4-50/6!*x^6+12936/8!*x^8...
arctanh(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+430/6!*x^6-27384/8!*x^8...A012428
arctanh(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+430/6!*x^6-27384/8!*x^8...
Expansion of e.g.f. cosh(arctan(x)*sin(x)) (only even powers).A012429
Expansion of e.g.f. cosh(arctan(x)*sin(x)) (only even powers).
Expansion of e.g.f. sec(arctan(x)*sin(x)) (only even powers).A012430
Expansion of e.g.f. sec(arctan(x)*sin(x)) (only even powers).
Expansion of e.g.f. sech(arctan(x)*sin(x)) (only even powers).A012431
Expansion of e.g.f. sech(arctan(x)*sin(x)) (only even powers).
exp(arctan(x)*arcsin(x))=1+2/2!*x^2+8/4!*x^4+158/6!*x^6+4104/8!*x^8...A012432
exp(arctan(x)*arcsin(x))=1+2/2!*x^2+8/4!*x^4+158/6!*x^6+4104/8!*x^8...
sin(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+38/6!*x^6-264/8!*x^8...A012433
sin(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+38/6!*x^6-264/8!*x^8...
arcsin(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+278/6!*x^6-6984/8!*x^8...A012434
arcsin(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+278/6!*x^6-6984/8!*x^8...
arctan(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4-82/6!*x^6+3096/8!*x^8...A012435
arctan(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4-82/6!*x^6+3096/8!*x^8...
cos(arctan(x)*arcsin(x))=1-12/4!*x^4+120/6!*x^6-7728/8!*x^8...A012436
cos(arctan(x)*arcsin(x))=1-12/4!*x^4+120/6!*x^6-7728/8!*x^8...
sinh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+278/6!*x^6-6984/8!*x^8...A012437
sinh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+278/6!*x^6-6984/8!*x^8...
arcsinh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+38/6!*x^6-264/8!*x^8...A012438
arcsinh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+38/6!*x^6-264/8!*x^8...
tanh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4-82/6!*x^6+3096/8!*x^8...A012439
tanh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4-82/6!*x^6+3096/8!*x^8...
arctanh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+398/6!*x^6-10344/8!*x^8...A012440
arctanh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+398/6!*x^6-10344/8!*x^8...
cosh(arctan(x)*arcsin(x))=1+12/4!*x^4-120/6!*x^6+11088/8!*x^8...A012441
cosh(arctan(x)*arcsin(x))=1+12/4!*x^4-120/6!*x^6+11088/8!*x^8...
sec(arctan(x)*arcsin(x))=1+12/4!*x^4-120/6!*x^6+17808/8!*x^8...A012442
sec(arctan(x)*arcsin(x))=1+12/4!*x^4-120/6!*x^6+17808/8!*x^8...
sech(arctan(x)*arcsin(x))=1-12/4!*x^4+120/6!*x^6-1008/8!*x^8...A012443
sech(arctan(x)*arcsin(x))=1-12/4!*x^4+120/6!*x^6-1008/8!*x^8...
exp(arctan(x)*tan(x))=1+2/2!*x^2+12/4!*x^4+280/6!*x^6+7952/8!*x^8...A012444
exp(arctan(x)*tan(x))=1+2/2!*x^2+12/4!*x^4+280/6!*x^6+7952/8!*x^8...
sin(arctan(x)*tan(x))=2/2!*x^2+40/6!*x^6-2688/8!*x^8-31712/10!*x^10...A012445
sin(arctan(x)*tan(x))=2/2!*x^2+40/6!*x^6-2688/8!*x^8-31712/10!*x^10...
arcsin(arctan(x)*tan(x))=2/2!*x^2+280/6!*x^6-2688/8!*x^8+1016608/10!*x^10...A012446
arcsin(arctan(x)*tan(x))=2/2!*x^2+280/6!*x^6-2688/8!*x^8+1016608/10!*x^10...
arctan(arctan(x)*tan(x))=2/2!*x^2-80/6!*x^6-2688/8!*x^8+260608/10!*x^10...A012447
arctan(arctan(x)*tan(x))=2/2!*x^2-80/6!*x^6-2688/8!*x^8+260608/10!*x^10...
cos(arctan(x)*tan(x))=1-12/4!*x^4-7280/8!*x^8+241920/10!*x^10...A012448
cos(arctan(x)*tan(x))=1-12/4!*x^4-7280/8!*x^8+241920/10!*x^10...
sinh(arctan(x)*tan(x))=2/2!*x^2+280/6!*x^6-2688/8!*x^8+774688/10!*x^10...A012449
sinh(arctan(x)*tan(x))=2/2!*x^2+280/6!*x^6-2688/8!*x^8+774688/10!*x^10...
arcsinh(arctan(x)*tan(x))=2/2!*x^2+40/6!*x^6-2688/8!*x^8+210208/10!*x^10...A012450
arcsinh(arctan(x)*tan(x))=2/2!*x^2+40/6!*x^6-2688/8!*x^8+210208/10!*x^10...
tanh(arctan(x)*tan(x))=2/2!*x^2-80/6!*x^6-2688/8!*x^8+18688/10!*x^10...A012451
tanh(arctan(x)*tan(x))=2/2!*x^2-80/6!*x^6-2688/8!*x^8+18688/10!*x^10...
arctanh(arctan(x)*tan(x))=2/2!*x^2+400/6!*x^6-2688/8!*x^8...A012452
arctanh(arctan(x)*tan(x))=2/2!*x^2+400/6!*x^6-2688/8!*x^8...
cosh(arctan(x)*tan(x))=1+12/4!*x^4+10640/8!*x^8-241920/10!*x^10...A012453
cosh(arctan(x)*tan(x))=1+12/4!*x^4+10640/8!*x^8-241920/10!*x^10...
sec(arctan(x)*tan(x))=1+12/4!*x^4+17360/8!*x^8-241920/10!*x^10...A012454
sec(arctan(x)*tan(x))=1+12/4!*x^4+17360/8!*x^8-241920/10!*x^10...
sech(arctan(x)*tan(x))=1-12/4!*x^4-560/8!*x^8+241920/10!*x^10...A012455
sech(arctan(x)*tan(x))=1-12/4!*x^4-560/8!*x^8+241920/10!*x^10...
exp((arctan(x))^2)=1+2/2!*x^2-4/4!*x^4+8/6!*x^6+912/8!*x^8...A012456
exp((arctan(x))^2)=1+2/2!*x^2-4/4!*x^4+8/6!*x^6+912/8!*x^8...
sin(arctan(x)^2)=2/2!*x^2-16/4!*x^4+248/6!*x^6-3456/8!*x^8...A012457
sin(arctan(x)^2)=2/2!*x^2-16/4!*x^4+248/6!*x^6-3456/8!*x^8...
Expansion of e.g.f. arcsin(arctan(x)^2), even powers only.A012458
Expansion of e.g.f. arcsin(arctan(x)^2), even powers only.
Expansion of e.g.f. arctan(arctan(x)*arctan(x)) (even powers only).A012459
Expansion of e.g.f. arctan(arctan(x)*arctan(x)) (even powers only).
cos(arctan(x)^2)=1-12/4!*x^4+480/6!*x^6-27888/8!*x^8...A012460
cos(arctan(x)^2)=1-12/4!*x^4+480/6!*x^6-27888/8!*x^8...