Sequences

392,541 sequences

tanh(sinh(x)*arctan(x))=2/2!*x^2-4/4!*x^4-130/6!*x^6+2200/8!*x^8...A012561
tanh(sinh(x)*arctan(x))=2/2!*x^2-4/4!*x^4-130/6!*x^6+2200/8!*x^8...
arctanh(sinh(x)*arctan(x)) = 2/2!*x^2 - 4/4!*x^4 + 350/6!*x^6 - 11240/8!*x^8 + ...A012562
arctanh(sinh(x)*arctan(x)) = 2/2!*x^2 - 4/4!*x^4 + 350/6!*x^6 - 11240/8!*x^8 + ...
cosh(sinh(x)*arctan(x))=1+12/4!*x^4-120/6!*x^6+8400/8!*x^8...A012563
cosh(sinh(x)*arctan(x))=1+12/4!*x^4-120/6!*x^6+8400/8!*x^8...
sec(sinh(x)*arctan(x))=1+12/4!*x^4-120/6!*x^6+15120/8!*x^8...A012564
sec(sinh(x)*arctan(x))=1+12/4!*x^4-120/6!*x^6+15120/8!*x^8...
sech(sinh(x)*arctan(x))=1-12/4!*x^4+120/6!*x^6+1680/8!*x^8...A012565
sech(sinh(x)*arctan(x))=1-12/4!*x^4+120/6!*x^6+1680/8!*x^8...
arcsin(sinh(x)*cos(x))=x-1/3!*x^3-15/5!*x^5-201/7!*x^7+1025/9!*x^9...A012566
arcsin(sinh(x)*cos(x))=x-1/3!*x^3-15/5!*x^5-201/7!*x^7+1025/9!*x^9...
E.g.f.: arctan(sinh(x)*cos(x)) = x - 4/3!*x^3 + 60/5!*x^5 - 2784/7!*x^7 + 225680/9!*x^9...A012567
E.g.f.: arctan(sinh(x)*cos(x)) = x - 4/3!*x^3 + 60/5!*x^5 - 2784/7!*x^7 + 225680/9!*x^9...
arctanh(sinh(x)*cos(x))=x-20/5!*x^5-560/7!*x^7-7920/9!*x^9...A012568
arctanh(sinh(x)*cos(x))=x-20/5!*x^5-560/7!*x^7-7920/9!*x^9...
sec(sinh(x)*cos(x))=1+1/2!*x^2-3/4!*x^4-123/6!*x^6-455/8!*x^8...A012569
sec(sinh(x)*cos(x))=1+1/2!*x^2-3/4!*x^4-123/6!*x^6-455/8!*x^8...
sech(sinh(x)*cos(x))=1-1/2!*x^2+13/4!*x^4-277/6!*x^6+12185/8!*x^8...A012570
sech(sinh(x)*cos(x))=1-1/2!*x^2+13/4!*x^4-277/6!*x^6+12185/8!*x^8...
Expansion of arcsin(sinh(x)*sinh(x)).A012571
Expansion of arcsin(sinh(x)*sinh(x)).
exp(arcsinh(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+16/4!*x^4-80/5!*x^5...A012572
exp(arcsinh(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+16/4!*x^4-80/5!*x^5...
Expansion of e.g.f. sin(arcsinh(x) * log(x+1)).A012573
Expansion of e.g.f. sin(arcsinh(x) * log(x+1)).
Expansion of e.g.f.: arcsin(arcsinh(x)*log(x+1)).A012574
Expansion of e.g.f.: arcsin(arcsinh(x)*log(x+1)).
tan(arcsinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5...A012575
tan(arcsinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5...
Expansion of e.g.f. arctan(arcsinh(x) * log(x+1)).A012576
Expansion of e.g.f. arctan(arcsinh(x) * log(x+1)).
cos(arcsinh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-210/6!*x^6+1260/7!*x^7...A012577
cos(arcsinh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-210/6!*x^6+1260/7!*x^7...
Expansion of e.g.f. arcsinh(arcsinh(x) * log(x+1)).A012578
Expansion of e.g.f. arcsinh(arcsinh(x) * log(x+1)).
Expansion of e.g.f. tanh(arcsinh(x) * log(x+1)).A012579
Expansion of e.g.f. tanh(arcsinh(x) * log(x+1)).
arctanh(arcsinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5...A012580
arctanh(arcsinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5...
cosh(arcsinh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+210/6!*x^6...A012581
cosh(arcsinh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+210/6!*x^6...
sec(arcsinh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+210/6!*x^6-1260/7!*x^7...A012582
sec(arcsinh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+210/6!*x^6-1260/7!*x^7...
Expansion of e.g.f.: sech(arcsinh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-210/6!*x^6...A012583
Expansion of e.g.f.: sech(arcsinh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-210/6!*x^6...
exp(arcsinh(x)*exp(x))=1+x+3/2!*x^2+9/3!*x^3+33/4!*x^4+145/5!*x^5...A012584
exp(arcsinh(x)*exp(x))=1+x+3/2!*x^2+9/3!*x^3+33/4!*x^4+145/5!*x^5...
sin(arcsinh(x)*exp(x)) = x+2/2!*x^2+1/3!*x^3-12/4!*x^4-75/5!*x^5...A012585
sin(arcsinh(x)*exp(x)) = x+2/2!*x^2+1/3!*x^3-12/4!*x^4-75/5!*x^5...
arcsin(arcsinh(x)*exp(x))=x+2/2!*x^2+3/3!*x^3+12/4!*x^4+93/5!*x^5...A012586
arcsin(arcsinh(x)*exp(x))=x+2/2!*x^2+3/3!*x^3+12/4!*x^4+93/5!*x^5...
E.g.f.: tan(arcsinh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3+24/4!*x^4+180/5!*x^5...A012587
E.g.f.: tan(arcsinh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3+24/4!*x^4+180/5!*x^5...
Expansion of e.g.f. arctan(arcsinh(x) * exp(x)).A012588
Expansion of e.g.f. arctan(arcsinh(x) * exp(x)).
cos(arcsinh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-19/4!*x^4-20/5!*x^5...A012589
cos(arcsinh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-19/4!*x^4-20/5!*x^5...
Expansion of e.g.f. arcsinh(arcsinh(x) * exp(x)).A012590
Expansion of e.g.f. arcsinh(arcsinh(x) * exp(x)).
tanh(arcsinh(x)*exp(x)) = x+2/2!*x^2-24/4!*x^4-140/5!*x^5-200/6!*x^6...A012591
tanh(arcsinh(x)*exp(x)) = x+2/2!*x^2-24/4!*x^4-140/5!*x^5-200/6!*x^6...
arctanh(arcsinh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3+24/4!*x^4+188/5!*x^5...A012592
arctanh(arcsinh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3+24/4!*x^4+188/5!*x^5...
cosh(arcsinh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+60/5!*x^5...A012593
cosh(arcsinh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+60/5!*x^5...
sec(arcsinh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+25/4!*x^4+140/5!*x^5...A012594
sec(arcsinh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+25/4!*x^4+140/5!*x^5...
sech(arcsinh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-15/4!*x^4+60/5!*x^5...A012595
sech(arcsinh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-15/4!*x^4+60/5!*x^5...
exp(arcsinh(x)*sin(x))=1+2/2!*x^2+4/4!*x^4-40/6!*x^6-688/8!*x^8...A012596
exp(arcsinh(x)*sin(x))=1+2/2!*x^2+4/4!*x^4-40/6!*x^6-688/8!*x^8...
arcsinh(arcsinh(x)*sin(x))=2/2!*x^2-8/4!*x^4-40/6!*x^6+4352/8!*x^8...A012597
arcsinh(arcsinh(x)*sin(x))=2/2!*x^2-8/4!*x^4-40/6!*x^6+4352/8!*x^8...
Expansion of e.g.f. exp(arcsinh(x)*arcsin(x)).A012598
Expansion of e.g.f. exp(arcsinh(x)*arcsin(x)).
sin(arcsinh(x)*arcsin(x))=2/2!*x^2-32/6!*x^6-4608/10!*x^10...A012599
sin(arcsinh(x)*arcsin(x))=2/2!*x^2-32/6!*x^6-4608/10!*x^10...
E.g.f.: arcsin(arcsinh(x)*arcsin(x)) = 2/2!*x^2+208/6!*x^6+680832/10!*x^10...A012600
E.g.f.: arcsin(arcsinh(x)*arcsin(x)) = 2/2!*x^2+208/6!*x^6+680832/10!*x^10...
tan(arcsinh(x)*arcsin(x))=2/2!*x^2+328/6!*x^6+1114272/10!*x^10...A012601
tan(arcsinh(x)*arcsin(x))=2/2!*x^2+328/6!*x^6+1114272/10!*x^10...
arctan(arcsinh(x)*arcsin(x))=2/2!*x^2-152/6!*x^6+469152/10!*x^10...A012602
arctan(arcsinh(x)*arcsin(x))=2/2!*x^2-152/6!*x^6+469152/10!*x^10...
cos(arcsinh(x)*arcsin(x))=1-12/4!*x^4-3248/8!*x^8-19157952/12!*x^12...A012603
cos(arcsinh(x)*arcsin(x))=1-12/4!*x^4-3248/8!*x^8-19157952/12!*x^12...
arcsinh(arcsinh(x)*arcsin(x))=2/2!*x^2-32/6!*x^6+237312/10!*x^10...A012604
arcsinh(arcsinh(x)*arcsin(x))=2/2!*x^2-32/6!*x^6+237312/10!*x^10...
tanh(arcsinh(x)*arcsin(x))=2/2!*x^2-152/6!*x^6+227232/10!*x^10...A012605
tanh(arcsinh(x)*arcsin(x))=2/2!*x^2-152/6!*x^6+227232/10!*x^10...
arctanh(arcsinh(x)*arcsin(x))=2/2!*x^2+328/6!*x^6+1356192/10!*x^10...A012606
arctanh(arcsinh(x)*arcsin(x))=2/2!*x^2+328/6!*x^6+1356192/10!*x^10...
Expansion of e.g.f. cosh(arcsinh(x)*arcsin(x)) in powers of x^4.A012607
Expansion of e.g.f. cosh(arcsinh(x)*arcsin(x)) in powers of x^4.
Expansion of e.g.f. sec(arcsinh(x)*arcsin(x)), powers of x^4 only.A012608
Expansion of e.g.f. sec(arcsinh(x)*arcsin(x)), powers of x^4 only.
Expansion of e.g.f. sech(arcsinh(x)*arcsin(x)) in powers of x^4.A012609
Expansion of e.g.f. sech(arcsinh(x)*arcsin(x)) in powers of x^4.
Expansion of e.g.f. exp(arcsinh(x)*tan(x)) (even powers only).A012610
Expansion of e.g.f. exp(arcsinh(x)*tan(x)) (even powers only).