Sequences

392,541 sequences

Expansion of e.g.f. log(cos(x) + tan(x)).A013011
Expansion of e.g.f. log(cos(x) + tan(x)).
Expansion of e.g.f.: log(cos(x)+arctan(x))=x-2/2!*x^2+3/3!*x^3-12/4!*x^4+73/5!*x^5...A013012
Expansion of e.g.f.: log(cos(x)+arctan(x))=x-2/2!*x^2+3/3!*x^3-12/4!*x^4+73/5!*x^5...
exp(sinh(x)+log(x+1))=1+2*x+3/2!*x^2+5/3!*x^3+13/4!*x^4+37/5!*x^5...A013013
exp(sinh(x)+log(x+1))=1+2*x+3/2!*x^2+5/3!*x^3+13/4!*x^4+37/5!*x^5...
Expansion of e.g.f. sin(sinh(x) + log(x+1)).A013014
Expansion of e.g.f. sin(sinh(x) + log(x+1)).
Expansion of e.g.f.: arcsin(sinh(x)+log(x+1))=2*x-1/2!*x^2+11/3!*x^3-30/4!*x^4+463/5!*x^5...A013015
Expansion of e.g.f.: arcsin(sinh(x)+log(x+1))=2*x-1/2!*x^2+11/3!*x^3-30/4!*x^4+463/5!*x^5...
Expansion of e.g.f. tan(sinh(x) + log(x+1)).A013016
Expansion of e.g.f. tan(sinh(x) + log(x+1)).
Expansion of e.g.f.: arctan(sinh(x)+log(x+1))=2*x-1/2!*x^2-13/3!*x^3+42/4!*x^4+493/5!*x^5...A013017
Expansion of e.g.f.: arctan(sinh(x)+log(x+1))=2*x-1/2!*x^2-13/3!*x^3+42/4!*x^4+493/5!*x^5...
E.g.f.: cos(sinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-11/4!*x^4+10/5!*x^5...A013018
E.g.f.: cos(sinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-11/4!*x^4+10/5!*x^5...
Expansion of e.g.f. sinh(sinh(x) + log(x+1)).A013019
Expansion of e.g.f. sinh(sinh(x) + log(x+1)).
Expansion of e.g.f.: tanh(sinh(x)+log(x+1))=2*x-1/2!*x^2-13/3!*x^3+42/4!*x^4+237/5!*x^5...A013020
Expansion of e.g.f.: tanh(sinh(x)+log(x+1))=2*x-1/2!*x^2-13/3!*x^3+42/4!*x^4+237/5!*x^5...
Expansion of e.g.f. arctanh(sinh(x) + log(x+1)).A013021
Expansion of e.g.f. arctanh(sinh(x) + log(x+1)).
Expansion of e.g.f.: cosh(sinh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+43/4!*x^4-170/5!*x^5...A013022
Expansion of e.g.f.: cosh(sinh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+43/4!*x^4-170/5!*x^5...
sec(sinh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+107/4!*x^4-490/5!*x^5...A013023
sec(sinh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+107/4!*x^4-490/5!*x^5...
sech(sinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+53/4!*x^4-310/5!*x^5...A013024
sech(sinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+53/4!*x^4-310/5!*x^5...
Expansion of e.g.f. exp(sinh(x) + sin(x)).A013025
Expansion of e.g.f. exp(sinh(x) + sin(x)).
sin(sinh(x)+sin(x))=2*x-8/3!*x^3+34/5!*x^5-296/7!*x^7+4546/9!*x^9...A013026
sin(sinh(x)+sin(x))=2*x-8/3!*x^3+34/5!*x^5-296/7!*x^7+4546/9!*x^9...
arcsin(sinh(x)+sin(x))=2*x+8/3!*x^3+290/5!*x^5+28968/7!*x^7...A013027
arcsin(sinh(x)+sin(x))=2*x+8/3!*x^3+290/5!*x^5+28968/7!*x^7...
tan(sinh(x)+sin(x))=2*x+16/3!*x^3+514/5!*x^5+35152/7!*x^7...A013028
tan(sinh(x)+sin(x))=2*x+16/3!*x^3+514/5!*x^5+35152/7!*x^7...
E.g.f. (in x^2) is arctan(sinh(x)+sin(x)).A013029
E.g.f. (in x^2) is arctan(sinh(x)+sin(x)).
cos(sinh(x)+sin(x))=1-4/2!*x^2+16/4!*x^4-88/6!*x^6+1152/8!*x^8...A013030
cos(sinh(x)+sin(x))=1-4/2!*x^2+16/4!*x^4-88/6!*x^6+1152/8!*x^8...
sec(sinh(x)+sin(x))=1+4/2!*x^2+80/4!*x^4+3928/6!*x^6+359040/8!*x^8...A013031
sec(sinh(x)+sin(x))=1+4/2!*x^2+80/4!*x^4+3928/6!*x^6+359040/8!*x^8...
Expansion of e.g.f.: exp(sinh(x)+arcsin(x))=1+2*x+4/2!*x^2+10/3!*x^3+32/4!*x^4+122/5!*x^5...A013032
Expansion of e.g.f.: exp(sinh(x)+arcsin(x))=1+2*x+4/2!*x^2+10/3!*x^3+32/4!*x^4+122/5!*x^5...
sin(sinh(x)+arcsin(x))=2*x-6/3!*x^3-38/5!*x^5-182/7!*x^7-7118/9!*x^9...A013033
sin(sinh(x)+arcsin(x))=2*x-6/3!*x^3-38/5!*x^5-182/7!*x^7-7118/9!*x^9...
arcsin(sinh(x)+arcsin(x))=2*x+10/3!*x^3+378/5!*x^5+40506/7!*x^7...A013034
arcsin(sinh(x)+arcsin(x))=2*x+10/3!*x^3+378/5!*x^5+40506/7!*x^7...
tan(sinh(x)+arcsin(x))=2*x+18/3!*x^3+682/5!*x^5+55762/7!*x^7...A013035
tan(sinh(x)+arcsin(x))=2*x+18/3!*x^3+682/5!*x^5+55762/7!*x^7...
arctan(sinh(x)+arcsin(x))=2*x-14/3!*x^3+618/5!*x^5-67854/7!*x^7...A013036
arctan(sinh(x)+arcsin(x))=2*x-14/3!*x^3+618/5!*x^5-67854/7!*x^7...
cos(sinh(x)+arcsin(x))=1-4/2!*x^2+96/6!*x^6+896/8!*x^8-9344/10!*x^10...A013037
cos(sinh(x)+arcsin(x))=1-4/2!*x^2+96/6!*x^6+896/8!*x^8-9344/10!*x^10...
sinh(sinh(x)+arcsin(x))=2*x+10/3!*x^3+122/5!*x^5+2874/7!*x^7...A013038
sinh(sinh(x)+arcsin(x))=2*x+10/3!*x^3+122/5!*x^5+2874/7!*x^7...
tanh(sinh(x)+arcsin(x))=2*x-14/3!*x^3+362/5!*x^5-19470/7!*x^7...A013039
tanh(sinh(x)+arcsin(x))=2*x-14/3!*x^3+362/5!*x^5-19470/7!*x^7...
arctanh(sinh(x)+arcsin(x))=2*x+18/3!*x^3+938/5!*x^5+122066/7!*x^7...A013040
arctanh(sinh(x)+arcsin(x))=2*x+18/3!*x^3+938/5!*x^5+122066/7!*x^7...
cosh(sinh(x)+arcsin(x))=1+4/2!*x^2+32/4!*x^4+544/6!*x^6+17536/8!*x^8...A013041
cosh(sinh(x)+arcsin(x))=1+4/2!*x^2+32/4!*x^4+544/6!*x^6+17536/8!*x^8...
sec(sinh(x)+arcsin(x))=1+4/2!*x^2+96/4!*x^4+5664/6!*x^6+622720/8!*x^8...A013042
sec(sinh(x)+arcsin(x))=1+4/2!*x^2+96/4!*x^4+5664/6!*x^6+622720/8!*x^8...
sech(sinh(x)+arcsin(x))=1-4/2!*x^2+64/4!*x^4-2464/6!*x^6...A013043
sech(sinh(x)+arcsin(x))=1-4/2!*x^2+64/4!*x^4-2464/6!*x^6...
exp(sinh(x)+tan(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+169/5!*x^5...A013044
exp(sinh(x)+tan(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+169/5!*x^5...
sin(sinh(x)+tan(x))=2*x-5/3!*x^3-71/5!*x^5-863/7!*x^7-11207/9!*x^9...A013045
sin(sinh(x)+tan(x))=2*x-5/3!*x^3-71/5!*x^5-863/7!*x^7-11207/9!*x^9...
arcsin(sinh(x)+tan(x))=2*x+11/3!*x^3+425/5!*x^5+46881/7!*x^7...A013046
arcsin(sinh(x)+tan(x))=2*x+11/3!*x^3+425/5!*x^5+46881/7!*x^7...
tan(sinh(x)+tan(x))=2*x+19/3!*x^3+769/5!*x^5+67345/7!*x^7...A013047
tan(sinh(x)+tan(x))=2*x+19/3!*x^3+769/5!*x^5+67345/7!*x^7...
arctan(sinh(x)+tan(x))=2*x-13/3!*x^3+545/5!*x^5-56943/7!*x^7...A013048
arctan(sinh(x)+tan(x))=2*x-13/3!*x^3+545/5!*x^5-56943/7!*x^7...
cos(sinh(x)+tan(x))=1-4/2!*x^2-8/4!*x^4+122/6!*x^6+5352/8!*x^8...A013049
cos(sinh(x)+tan(x))=1-4/2!*x^2-8/4!*x^4+122/6!*x^6+5352/8!*x^8...
sinh(sinh(x)+tan(x))=2*x+11/3!*x^3+169/5!*x^5+4769/7!*x^7...A013050
sinh(sinh(x)+tan(x))=2*x+11/3!*x^3+169/5!*x^5+4769/7!*x^7...
Expansion of e.g.f. tanh(sinh(x)+tan(x)) (odd powers only).A013051
Expansion of e.g.f. tanh(sinh(x)+tan(x)) (odd powers only).
arctanh(sinh(x)+tan(x))=2*x+19/3!*x^3+1025/5!*x^5+138129/7!*x^7...A013052
arctanh(sinh(x)+tan(x))=2*x+19/3!*x^3+1025/5!*x^5+138129/7!*x^7...
cosh(sinh(x)+tan(x))=1+4/2!*x^2+40/4!*x^4+838/6!*x^6+30552/8!*x^8...A013053
cosh(sinh(x)+tan(x))=1+4/2!*x^2+40/4!*x^4+838/6!*x^6+30552/8!*x^8...
sec(sinh(x)+tan(x))=1+4/2!*x^2+104/4!*x^4+6598/6!*x^6+778200/8!*x^8...A013054
sec(sinh(x)+tan(x))=1+4/2!*x^2+104/4!*x^4+6598/6!*x^6+778200/8!*x^8...
sech(sinh(x)+tan(x))=1-4/2!*x^2+56/4!*x^4-1798/6!*x^6+107880/8!*x^8...A013055
sech(sinh(x)+tan(x))=1-4/2!*x^2+56/4!*x^4-1798/6!*x^6+107880/8!*x^8...
exp(sinh(x)+arctan(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+17/5!*x^5...A013056
exp(sinh(x)+arctan(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+17/5!*x^5...
sin(sinh(x)+arctan(x))=2*x-9/3!*x^3+97/5!*x^5-3647/7!*x^7...A013057
sin(sinh(x)+arctan(x))=2*x-9/3!*x^3+97/5!*x^5-3647/7!*x^7...
arcsin(sinh(x)+arctan(x))=2*x+7/3!*x^3+273/5!*x^5+25281/7!*x^7...A013058
arcsin(sinh(x)+arctan(x))=2*x+7/3!*x^3+273/5!*x^5+25281/7!*x^7...
tan(sinh(x)+arctan(x))=2*x+15/3!*x^3+457/5!*x^5+29617/7!*x^7...A013059
tan(sinh(x)+arctan(x))=2*x+15/3!*x^3+457/5!*x^5+29617/7!*x^7...
arctan(sinh(x)+arctan(x))=2*x-17/3!*x^3+873/5!*x^5-110799/7!*x^7...A013060
arctan(sinh(x)+arctan(x))=2*x-17/3!*x^3+873/5!*x^5-110799/7!*x^7...