Sequences

392,541 sequences

arcsin(tan(arcsinh(x)))=x+2/3!*x^3+24/5!*x^5+720/7!*x^7+48000/9!*x^9...A012161
arcsin(tan(arcsinh(x)))=x+2/3!*x^3+24/5!*x^5+720/7!*x^7+48000/9!*x^9...
tan(tan(arcsinh(x)))=x+3/3!*x^3+41/5!*x^5+1187/7!*x^7+62129/9!*x^9...A012162
tan(tan(arcsinh(x)))=x+3/3!*x^3+41/5!*x^5+1187/7!*x^7+62129/9!*x^9...
cos(tan(arcsinh(x)))=1-1/2!*x^2-3/4!*x^4-21/6!*x^6+185/8!*x^8...A012163
cos(tan(arcsinh(x)))=1-1/2!*x^2-3/4!*x^4-21/6!*x^6+185/8!*x^8...
sinh(tan(arcsinh(x))) = x+2/3!*x^3+16/5!*x^5+216/7!*x^7+6400/9!*x^9...A012164
sinh(tan(arcsinh(x))) = x+2/3!*x^3+16/5!*x^5+216/7!*x^7+6400/9!*x^9...
tanh(tan(arcsinh(x)))=x-1/3!*x^3+1/5!*x^5-57/7!*x^7+4513/9!*x^9...A012165
tanh(tan(arcsinh(x)))=x-1/3!*x^3+1/5!*x^5-57/7!*x^7+4513/9!*x^9...
arctanh(tan(arcsinh(x))) = x+3/3!*x^3+49/5!*x^5+1915/7!*x^7+143905/9!*x^9...A012166
arctanh(tan(arcsinh(x))) = x+3/3!*x^3+49/5!*x^5+1915/7!*x^7+143905/9!*x^9...
cosh(tan(arcsinh(x)))=1+1/2!*x^2+5/4!*x^4+61/6!*x^6+937/8!*x^8...A012167
cosh(tan(arcsinh(x)))=1+1/2!*x^2+5/4!*x^4+61/6!*x^6+937/8!*x^8...
sec(tan(arcsinh(x)))=1+1/2!*x^2+9/4!*x^4+201/6!*x^6+7921/8!*x^8...A012168
sec(tan(arcsinh(x)))=1+1/2!*x^2+9/4!*x^4+201/6!*x^6+7921/8!*x^8...
sech(tan(arcsinh(x)))=1-1/2!*x^2+1/4!*x^4-1/6!*x^6+449/8!*x^8...A012169
sech(tan(arcsinh(x)))=1-1/2!*x^2+1/4!*x^4-1/6!*x^6+449/8!*x^8...
arcsin(tan(tanh(x)))=x+1/3!*x^3+1/5!*x^5+169/7!*x^7+5857/9!*x^9...A012170
arcsin(tan(tanh(x)))=x+1/3!*x^3+1/5!*x^5+169/7!*x^7+5857/9!*x^9...
arctanh(tan(tanh(x)))=x+2/3!*x^3+16/5!*x^5+496/7!*x^7+24064/9!*x^9...A012171
arctanh(tan(tanh(x)))=x+2/3!*x^3+16/5!*x^5+496/7!*x^7+24064/9!*x^9...
sec(tan(tanh(x)))=1+1/2!*x^2+5/4!*x^4+13/6!*x^6+41/8!*x^8...A012172
sec(tan(tanh(x)))=1+1/2!*x^2+5/4!*x^4+13/6!*x^6+41/8!*x^8...
sech(tan(tanh(x)))=1-1/2!*x^2+5/4!*x^4-13/6!*x^6-1751/8!*x^8...A012173
sech(tan(tanh(x)))=1-1/2!*x^2+5/4!*x^4-13/6!*x^6-1751/8!*x^8...
Expansion of e.g.f.: exp(tan(arctanh(x)))=1+x+1/2!*x^2+5/3!*x^3+17/4!*x^4+121/5!*x^5...A012174
Expansion of e.g.f.: exp(tan(arctanh(x)))=1+x+1/2!*x^2+5/3!*x^3+17/4!*x^4+121/5!*x^5...
sin(tan(arctanh(x)))=x+3/3!*x^3+41/5!*x^5+1019/7!*x^7+12305/9!*x^9...A012175
sin(tan(arctanh(x)))=x+3/3!*x^3+41/5!*x^5+1019/7!*x^7+12305/9!*x^9...
arcsin(tan(arctanh(x)))=x+5/3!*x^3+129/5!*x^5+7965/7!*x^7+910785/9!*x^9...A012176
arcsin(tan(arctanh(x)))=x+5/3!*x^3+129/5!*x^5+7965/7!*x^7+910785/9!*x^9...
tan(tan(arctanh(x)))=x+6/3!*x^3+176/5!*x^5+11792/7!*x^7...A012177
tan(tan(arctanh(x)))=x+6/3!*x^3+176/5!*x^5+11792/7!*x^7...
cos(tan(arctanh(x)))=1-1/2!*x^2-15/4!*x^4-561/6!*x^6-38623/8!*x^8...A012178
cos(tan(arctanh(x)))=1-1/2!*x^2-15/4!*x^4-561/6!*x^6-38623/8!*x^8...
sinh(tan(arctanh(x)))=x+5/3!*x^3+121/5!*x^5+6621/7!*x^7+636337/9!*x^9...A012179
sinh(tan(arctanh(x)))=x+5/3!*x^3+121/5!*x^5+6621/7!*x^7+636337/9!*x^9...
tanh(tan(arctanh(x)))=x+2/3!*x^3+16/5!*x^5+48/7!*x^7-29696/9!*x^9...A012180
tanh(tan(arctanh(x)))=x+2/3!*x^3+16/5!*x^5+48/7!*x^7-29696/9!*x^9...
arctanh(tan(arctanh(x))) = x + (6/3!)*x^3 + (184/5!)*x^5 + 13360/7!*x^7 + ...A012181
arctanh(tan(arctanh(x))) = x + (6/3!)*x^3 + (184/5!)*x^5 + 13360/7!*x^7 + ...
cosh(tan(arctanh(x)))=1+1/2!*x^2+17/4!*x^4+721/6!*x^6+56545/8!*x^8...A012182
cosh(tan(arctanh(x)))=1+1/2!*x^2+17/4!*x^4+721/6!*x^6+56545/8!*x^8...
sec(tan(arctanh(x)))=1+1/2!*x^2+21/4!*x^4+1101/6!*x^6+107209/8!*x^8...A012183
sec(tan(arctanh(x)))=1+1/2!*x^2+21/4!*x^4+1101/6!*x^6+107209/8!*x^8...
sech(tan(arctanh(x)))=1-1/2!*x^2-11/4!*x^4-301/6!*x^6-14839/8!*x^8...A012184
sech(tan(arctanh(x)))=1-1/2!*x^2-11/4!*x^4-301/6!*x^6-14839/8!*x^8...
Expansion of e.g.f.: exp(arctan(sin(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+16/5!*x^5...A012185
Expansion of e.g.f.: exp(arctan(sin(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+16/5!*x^5...
arcsin(arctan(sin(x)))=x-2/3!*x^3+24/5!*x^5-888/7!*x^7+60672/9!*x^9...A012186
arcsin(arctan(sin(x)))=x-2/3!*x^3+24/5!*x^5-888/7!*x^7+60672/9!*x^9...
arctan(arctan(sin(x)))=x-5/3!*x^3+129/5!*x^5-8133/7!*x^7+941601/9!*x^9...A012187
arctan(arctan(sin(x)))=x-5/3!*x^3+129/5!*x^5-8133/7!*x^7+941601/9!*x^9...
E.g.f. sinh(arctan(sin(x))) odd powers only.A012188
E.g.f. sinh(arctan(sin(x))) odd powers only.
arcsinh(arctan(sin(x)))=x-4/3!*x^3+84/5!*x^5-4488/7!*x^7+450768/9!*x^9...A012189
arcsinh(arctan(sin(x)))=x-4/3!*x^3+84/5!*x^5-4488/7!*x^7+450768/9!*x^9...
Expansion of e.g.f. tanh(arctan(sin(x))), odd powers only.A012190
Expansion of e.g.f. tanh(arctan(sin(x))), odd powers only.
arctanh(arctan(sin(x))) = x - 1/3!*x^3 + 9/5!*x^5 - 393/7!*x^7 + 25329/9!*x^9 - ...A012191
arctanh(arctan(sin(x))) = x - 1/3!*x^3 + 9/5!*x^5 - 393/7!*x^7 + 25329/9!*x^9 - ...
cosh(arctan(sin(x)))=1+1/2!*x^2-11/4!*x^4+301/6!*x^6-16631/8!*x^8...A012192
cosh(arctan(sin(x)))=1+1/2!*x^2-11/4!*x^4+301/6!*x^6-16631/8!*x^8...
sech(arctan(sin(x)))=1-1/2!*x^2+17/4!*x^4-721/6!*x^6+58337/8!*x^8...A012193
sech(arctan(sin(x)))=1-1/2!*x^2+17/4!*x^4-721/6!*x^6+58337/8!*x^8...
exp(arctan(arcsin(x)))=1+x+1/2!*x^2-3/4!*x^4+4/5!*x^5+69/6!*x^6...A012194
exp(arctan(arcsin(x)))=1+x+1/2!*x^2-3/4!*x^4+4/5!*x^5+69/6!*x^6...
arcsin(arctan(arcsin(x)))=x+12/5!*x^5+80/7!*x^7+13776/9!*x^9...A012195
arcsin(arctan(arcsin(x)))=x+12/5!*x^5+80/7!*x^7+13776/9!*x^9...
arctan(arctan(arcsin(x)))=x-3/3!*x^3+57/5!*x^5-2419/7!*x^7+198801/9!*x^9...A012196
arctan(arctan(arcsin(x)))=x-3/3!*x^3+57/5!*x^5-2419/7!*x^7+198801/9!*x^9...
sinh(arctan(arcsin(x)))=x+4/5!*x^5+136/7!*x^7+1744/9!*x^9+652864/11!*x^11...A012197
sinh(arctan(arcsin(x)))=x+4/5!*x^5+136/7!*x^7+1744/9!*x^9+652864/11!*x^11...
arcsinh(arctan(arcsin(x)))=x-2/3!*x^3+32/5!*x^5-1056/7!*x^7+77696/9!*x^9...A012198
arcsinh(arctan(arcsin(x)))=x-2/3!*x^3+32/5!*x^5-1056/7!*x^7+77696/9!*x^9...
tanh(arctan(arcsin(x)))=x-3/3!*x^3+49/5!*x^5-1691/7!*x^7+108961/9!*x^9...A012199
tanh(arctan(arcsin(x)))=x-3/3!*x^3+49/5!*x^5-1691/7!*x^7+108961/9!*x^9...
arctanh(arctan(arcsin(x))) = x + 1/3!*x^3 + 17/5!*x^5 + 393/7!*x^7 + 25601/9!*x^9 + ...A012200
arctanh(arctan(arcsin(x))) = x + 1/3!*x^3 + 17/5!*x^5 + 393/7!*x^7 + 25601/9!*x^9 + ...
cosh(arctan(arcsin(x)))=1+1/2!*x^2-3/4!*x^4+69/6!*x^6-1159/8!*x^8...A012201
cosh(arctan(arcsin(x)))=1+1/2!*x^2-3/4!*x^4+69/6!*x^6-1159/8!*x^8...
sech(arctan(arcsin(x)))=1-1/2!*x^2+9/4!*x^4-249/6!*x^6+11953/8!*x^8...A012202
sech(arctan(arcsin(x)))=1-1/2!*x^2+9/4!*x^4-249/6!*x^6+11953/8!*x^8...
E.g.f.: exp(arctan(arctan(x))) = 1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4+49/5!*x^5...A012203
E.g.f.: exp(arctan(arctan(x))) = 1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4+49/5!*x^5...
arcsin(arctan(arctan(x)))=x-3/3!*x^3+57/5!*x^5-2755/7!*x^7+251601/9!*x^9...A012204
arcsin(arctan(arctan(x)))=x-3/3!*x^3+57/5!*x^5-2755/7!*x^7+251601/9!*x^9...
arctan(arctan(arctan(x)))=x-6/3!*x^3+192/5!*x^5-14704/7!*x^7...A012205
arctan(arctan(arctan(x)))=x-6/3!*x^3+192/5!*x^5-14704/7!*x^7...
sinh(arctan(arctan(x)))=x-3/3!*x^3+49/5!*x^5-1859/7!*x^7+119617/9!*x^9...A012206
sinh(arctan(arctan(x)))=x-3/3!*x^3+49/5!*x^5-1859/7!*x^7+119617/9!*x^9...
arcsinh(arctan(arctan(x)))=x-5/3!*x^3+137/5!*x^5-9141/7!*x^7...A012207
arcsinh(arctan(arctan(x)))=x-5/3!*x^3+137/5!*x^5-9141/7!*x^7...
tanh(arctan(arctan(x)))=x-6/3!*x^3+184/5!*x^5-13136/7!*x^7...A012208
tanh(arctan(arctan(x)))=x-6/3!*x^3+184/5!*x^5-13136/7!*x^7...
arctanh(arctan(arctan(x)))=x-2/3!*x^3+32/5!*x^5-1392/7!*x^7+118400/9!*x^9...A012209
arctanh(arctan(arctan(x)))=x-2/3!*x^3+32/5!*x^5-1392/7!*x^7+118400/9!*x^9...
cosh(arctan(arctan(x)))=1+1/2!*x^2-15/4!*x^4+609/6!*x^6-48031/8!*x^8...A012210
cosh(arctan(arctan(x)))=1+1/2!*x^2-15/4!*x^4+609/6!*x^6-48031/8!*x^8...