Sequences

392,541 sequences

Expansion of e.g.f. arcsinh(tanh(x) * exp(x)).A012661
Expansion of e.g.f. arcsinh(tanh(x) * exp(x)).
sec(tanh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+100/5!*x^5...A012662
sec(tanh(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(tanh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-11/4!*x^4+100/5!*x^5...A012663
Expansion of e.g.f.: sech(tanh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-11/4!*x^4+100/5!*x^5...
arcsinh(tanh(x)*sin(x))=2/2!*x^2-12/4!*x^4+22/6!*x^6+6888/8!*x^8...A012664
arcsinh(tanh(x)*sin(x))=2/2!*x^2-12/4!*x^4+22/6!*x^6+6888/8!*x^8...
exp(tanh(x)*arcsin(x))=1+2/2!*x^2+8/4!*x^4+110/6!*x^6+4552/8!*x^8...A012665
exp(tanh(x)*arcsin(x))=1+2/2!*x^2+8/4!*x^4+110/6!*x^6+4552/8!*x^8...
sinh(tanh(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+230/6!*x^6-3848/8!*x^8...A012666
sinh(tanh(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+230/6!*x^6-3848/8!*x^8...
Expansion of sin(tanh(x)*tan(x)).A012667
Expansion of sin(tanh(x)*tan(x)).
arcsin(tanh(x)*tan(x))=2/2!*x^2+232/6!*x^6+647072/10!*x^10...A012668
arcsin(tanh(x)*tan(x))=2/2!*x^2+232/6!*x^6+647072/10!*x^10...
Expansion of tan(tanh(x)*tan(x)).A012669
Expansion of tan(tanh(x)*tan(x)).
arctan(tanh(x)*tan(x))=2/2!*x^2-128/6!*x^6+253952/10!*x^10...A012670
arctan(tanh(x)*tan(x))=2/2!*x^2-128/6!*x^6+253952/10!*x^10...
sinh(tanh(x)*tan(x))=2/2!*x^2+232/6!*x^6+405152/10!*x^10...A012671
sinh(tanh(x)*tan(x))=2/2!*x^2+232/6!*x^6+405152/10!*x^10...
arcsinh(tanh(x)*tan(x)) = 2/2!*x^2-8/6!*x^6+82592/10!*x^10...A012672
arcsinh(tanh(x)*tan(x)) = 2/2!*x^2-8/6!*x^6+82592/10!*x^10...
Expansion of e.g.f. tanh(tanh(x)*tan(x)) (even powers only).A012673
Expansion of e.g.f. tanh(tanh(x)*tan(x)) (even powers only).
sec(tanh(x)*tan(x)) = 1+12/4!*x^4+14672/8!*x^8+120702912/12!*x^12...A012674
sec(tanh(x)*tan(x)) = 1+12/4!*x^4+14672/8!*x^8+120702912/12!*x^12...
sech(tanh(x)*tan(x))=1-12/4!*x^4+2128/8!*x^8+3482688/12!*x^12...A012675
sech(tanh(x)*tan(x))=1-12/4!*x^4+2128/8!*x^8+3482688/12!*x^12...
exp(tanh(x)*arctan(x))=1+2/2!*x^2-4/4!*x^4-40/6!*x^6+2704/8!*x^8...A012676
exp(tanh(x)*arctan(x))=1+2/2!*x^2-4/4!*x^4-40/6!*x^6+2704/8!*x^8...
sin(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+200/6!*x^6+1024/8!*x^8...A012677
sin(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+200/6!*x^6+1024/8!*x^8...
arcsin(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+440/6!*x^6-25856/8!*x^8...A012678
arcsin(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+440/6!*x^6-25856/8!*x^8...
tan(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+560/6!*x^6-39296/8!*x^8...A012679
tan(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+560/6!*x^6-39296/8!*x^8...
arctan(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+80/6!*x^6+14464/8!*x^8...A012680
arctan(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+80/6!*x^6+14464/8!*x^8...
cos(tanh(x)*arctan(x))=1-12/4!*x^4+480/6!*x^6-25200/8!*x^8...A012681
cos(tanh(x)*arctan(x))=1-12/4!*x^4+480/6!*x^6-25200/8!*x^8...
sinh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+440/6!*x^6-25856/8!*x^8...A012682
sinh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+440/6!*x^6-25856/8!*x^8...
arcsinh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+200/6!*x^6+1024/8!*x^8...A012683
arcsinh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+200/6!*x^6+1024/8!*x^8...
tanh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+80/6!*x^6+14464/8!*x^8...A012684
tanh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+80/6!*x^6+14464/8!*x^8...
cosh(tanh(x)*arctan(x))=1+12/4!*x^4-480/6!*x^6+28560/8!*x^8...A012685
cosh(tanh(x)*arctan(x))=1+12/4!*x^4-480/6!*x^6+28560/8!*x^8...
sec(tanh(x)*arctan(x))=1+12/4!*x^4-480/6!*x^6+35280/8!*x^8...A012686
sec(tanh(x)*arctan(x))=1+12/4!*x^4-480/6!*x^6+35280/8!*x^8...
sech(tanh(x)*arctan(x))=1-12/4!*x^4+480/6!*x^6-18480/8!*x^8...A012687
sech(tanh(x)*arctan(x))=1-12/4!*x^4+480/6!*x^6-18480/8!*x^8...
arcsin(tanh(x)*cos(x))=x-4/3!*x^3+576/7!*x^7+8960/9!*x^9...A012688
arcsin(tanh(x)*cos(x))=x-4/3!*x^3+576/7!*x^7+8960/9!*x^9...
arctan(tanh(x)*cos(x))=x-7/3!*x^3+165/5!*x^5-10827/7!*x^7...A012689
arctan(tanh(x)*cos(x))=x-7/3!*x^3+165/5!*x^5-10827/7!*x^7...
arcsinh(tanh(x)*cos(x))=x-6/3!*x^3+100/5!*x^5-5096/7!*x^7...A012690
arcsinh(tanh(x)*cos(x))=x-6/3!*x^3+100/5!*x^5-5096/7!*x^7...
sec(tanh(x)*cos(x))=1+1/2!*x^2-15/4!*x^4+57/6!*x^6+13825/8!*x^8...A012691
sec(tanh(x)*cos(x))=1+1/2!*x^2-15/4!*x^4+57/6!*x^6+13825/8!*x^8...
sech(tanh(x)*cos(x))=1-1/2!*x^2+25/4!*x^4-1057/6!*x^6+81905/8!*x^8...A012692
sech(tanh(x)*cos(x))=1-1/2!*x^2+25/4!*x^4-1057/6!*x^6+81905/8!*x^8...
arctan(tanh(x)*sinh(x))=2/2!*x^2-4/4!*x^4-178/6!*x^6+5336/8!*x^8...A012693
arctan(tanh(x)*sinh(x))=2/2!*x^2-4/4!*x^4-178/6!*x^6+5336/8!*x^8...
exp(tanh(x)*arcsinh(x))=1+2/2!*x^2-50/6!*x^6+1400/8!*x^8-35222/10!*x^10...A012694
exp(tanh(x)*arcsinh(x))=1+2/2!*x^2-50/6!*x^6+1400/8!*x^8-35222/10!*x^10...
arctan(tanh(x)*arcsinh(x))=2/2!*x^2-12/4!*x^4-50/6!*x^6+14280/8!*x^8...A012695
arctan(tanh(x)*arcsinh(x))=2/2!*x^2-12/4!*x^4-50/6!*x^6+14280/8!*x^8...
arctan(tanh(x)*tanh(x))=2/2!*x^2-16/4!*x^4+32/6!*x^6+18944/8!*x^8...A012696
arctan(tanh(x)*tanh(x))=2/2!*x^2-16/4!*x^4+32/6!*x^6+18944/8!*x^8...
Expansion of e.g.f.: exp(arctanh(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+28/4!*x^4-110/5!*x^5...A012697
Expansion of e.g.f.: exp(arctanh(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+28/4!*x^4-110/5!*x^5...
E.g.f.: sin(arctanh(x)*log(x+1)) = 2/2!*x^2 - 3/3!*x^3 + 16/4!*x^4 - 50/5!*x^5 + ...A012698
E.g.f.: sin(arctanh(x)*log(x+1)) = 2/2!*x^2 - 3/3!*x^3 + 16/4!*x^4 - 50/5!*x^5 + ...
Expansion of e.g.f. arcsin(arctanh(x) * log(x+1)).A012699
Expansion of e.g.f. arcsin(arctanh(x) * log(x+1)).
Expansion of e.g.f. tan(arctanh(x) * log(x+1)).A012700
Expansion of e.g.f. tan(arctanh(x) * log(x+1)).
arctan(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...A012701
arctan(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...
Expansion of e.g.f.: cos(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6+3780/7!*x^7...A012702
Expansion of e.g.f.: cos(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6+3780/7!*x^7...
Expansion of e.g.f.: sinh(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...A012703
Expansion of e.g.f.: sinh(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...
arcsinh(arctanh(x)*log(x+1)) = 2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...A012704
arcsinh(arctanh(x)*log(x+1)) = 2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...
arctanh(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...A012705
arctanh(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...
Expansion of e.g.f.: cosh(arctanh(x)*log(x+1)) = 1+12/4!*x^4-60/5!*x^5+570/6!*x^6...A012706
Expansion of e.g.f.: cosh(arctanh(x)*log(x+1)) = 1+12/4!*x^4-60/5!*x^5+570/6!*x^6...
Expansion of e.g.f.: sec(arctanh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+570/6!*x^6-3780/7!*x^7...A012707
Expansion of e.g.f.: sec(arctanh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+570/6!*x^6-3780/7!*x^7...
Expansion of e.g.f.: sech(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6...A012708
Expansion of e.g.f.: sech(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6...
exp(arctanh(x)*exp(x))=1+x+3/2!*x^2+12/3!*x^3+57/4!*x^4+340/5!*x^5...A012709
exp(arctanh(x)*exp(x))=1+x+3/2!*x^2+12/3!*x^3+57/4!*x^4+340/5!*x^5...
Expansion of e.g.f. sin(arctanh(x) * exp(x)).A012710
Expansion of e.g.f. sin(arctanh(x) * exp(x)).