Sequences

392,541 sequences

arctanh(arcsinh(x)+arctan(x))=2*x+13/3!*x^3+561/5!*x^5+58959/7!*x^7...A013111
arctanh(arcsinh(x)+arctan(x))=2*x+13/3!*x^3+561/5!*x^5+58959/7!*x^7...
cosh(arcsinh(x)+arctan(x))=1+4/2!*x^2-8/4!*x^4+70/6!*x^6-920/8!*x^8...A013112
cosh(arcsinh(x)+arctan(x))=1+4/2!*x^2-8/4!*x^4+70/6!*x^6-920/8!*x^8...
sec(arcsinh(x)+arctan(x))=1+4/2!*x^2+56/4!*x^4+1990/6!*x^6...A013113
sec(arcsinh(x)+arctan(x))=1+4/2!*x^2+56/4!*x^4+1990/6!*x^6...
sech(arcsinh(x)+arctan(x))=1-4/2!*x^2+104/4!*x^4-6790/6!*x^6...A013114
sech(arcsinh(x)+arctan(x))=1-4/2!*x^2+104/4!*x^4-6790/6!*x^6...
log(arcsinh(x)+cos(x)) = x-2/2!*x^2+4/3!*x^3-16/4!*x^4+88/5!*x^5...A013115
log(arcsinh(x)+cos(x)) = x-2/2!*x^2+4/3!*x^3-16/4!*x^4+88/5!*x^5...
exp(arcsinh(x)+sinh(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5...A013116
exp(arcsinh(x)+sinh(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5...
exp(tanh(x)+log(x+1))=1+2*x+3/2!*x^2+2/3!*x^3-11/4!*x^4-38/5!*x^5...A013117
exp(tanh(x)+log(x+1))=1+2*x+3/2!*x^2+2/3!*x^3-11/4!*x^4-38/5!*x^5...
Expansion of e.g.f. sin(tanh(x) + log(x+1)).A013118
Expansion of e.g.f. sin(tanh(x) + log(x+1)).
E.g.f. arcsin(tanh(x)+log(x+1)) = 2*x - 1/2!*x^2 + 8/3!*x^3 - 30/4!*x^4 +- ...A013119
E.g.f. arcsin(tanh(x)+log(x+1)) = 2*x - 1/2!*x^2 + 8/3!*x^3 - 30/4!*x^4 +- ...
Expansion of e.g.f. tan(tanh(x) + log(x+1)).A013120
Expansion of e.g.f. tan(tanh(x) + log(x+1)).
Expansion of e.g.f. arctan(tanh(x) + log(x+1)).A013121
Expansion of e.g.f. arctan(tanh(x) + log(x+1)).
cos(tanh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+13/4!*x^4-20/5!*x^5...A013122
cos(tanh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+13/4!*x^4-20/5!*x^5...
Expansion of e.g.f. sinh(tanh(x) + log(x+1)).A013123
Expansion of e.g.f. sinh(tanh(x) + log(x+1)).
Expansion of e.g.f. arcsinh(tanh(x) + log(x+1)).A013124
Expansion of e.g.f. arcsinh(tanh(x) + log(x+1)).
Expansion of E.g.f.: tanh(tanh(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+492/5!*x^5...A013125
Expansion of E.g.f.: tanh(tanh(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+492/5!*x^5...
cosh(tanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+19/4!*x^4-140/5!*x^5...A013126
cosh(tanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+19/4!*x^4-140/5!*x^5...
Expansion of e.g.f.: sec(tanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+83/4!*x^4-460/5!*x^5...A013127
Expansion of e.g.f.: sec(tanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+83/4!*x^4-460/5!*x^5...
Expansion of e.g.f.: sech(tanh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+77/4!*x^4-340/5!*x^5...A013128
Expansion of e.g.f.: sech(tanh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+77/4!*x^4-340/5!*x^5...
Expansion of e.g.f.: exp(tanh(x)+sin(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-71/5!*x^5...A013129
Expansion of e.g.f.: exp(tanh(x)+sin(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-71/5!*x^5...
arcsin(tanh(x)+sin(x))=2*x+5/3!*x^3+185/5!*x^5+16095/7!*x^7...A013130
arcsin(tanh(x)+sin(x))=2*x+5/3!*x^3+185/5!*x^5+16095/7!*x^7...
Expansion of e.g.f.: exp(tanh(x)+arcsin(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+17/5!*x^5...A013131
Expansion of e.g.f.: exp(tanh(x)+arcsin(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+17/5!*x^5...
sin(tanh(x)+arcsin(x))=2*x-9/3!*x^3+97/5!*x^5-2975/7!*x^7...A013132
sin(tanh(x)+arcsin(x))=2*x-9/3!*x^3+97/5!*x^5-2975/7!*x^7...
Expansion of e.g.f.: exp(tanh(x)+tan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+64/5!*x^5...A013133
Expansion of e.g.f.: exp(tanh(x)+tan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+64/5!*x^5...
sin(tanh(x)+tan(x))=2*x-8/3!*x^3+64/5!*x^5-2816/7!*x^7+80896/9!*x^9...A013134
sin(tanh(x)+tan(x))=2*x-8/3!*x^3+64/5!*x^5-2816/7!*x^7+80896/9!*x^9...
arcsin(tanh(x)+tan(x))=2*x+8/3!*x^3+320/5!*x^5+31488/7!*x^7...A013135
arcsin(tanh(x)+tan(x))=2*x+8/3!*x^3+320/5!*x^5+31488/7!*x^7...
tan(tanh(x)+tan(x))=2*x+16/3!*x^3+544/5!*x^5+40192/7!*x^7...A013136
tan(tanh(x)+tan(x))=2*x+16/3!*x^3+544/5!*x^5+40192/7!*x^7...
arctan(tanh(x)+tan(x))=2*x-16/3!*x^3+800/5!*x^5-97536/7!*x^7...A013137
arctan(tanh(x)+tan(x))=2*x-16/3!*x^3+800/5!*x^5-97536/7!*x^7...
cos(tanh(x)+tan(x))=1-4/2!*x^2+16/4!*x^4-448/6!*x^6+14592/8!*x^8...A013138
cos(tanh(x)+tan(x))=1-4/2!*x^2+16/4!*x^4-448/6!*x^6+14592/8!*x^8...
sec(tanh(x)+tan(x))=1+4/2!*x^2+80/4!*x^4+4288/6!*x^6+426240/8!*x^8...A013139
sec(tanh(x)+tan(x))=1+4/2!*x^2+80/4!*x^4+4288/6!*x^6+426240/8!*x^8...
exp(tanh(x)+arctan(x))=1+2*x+4/2!*x^2+4/3!*x^3-16/4!*x^4-88/5!*x^5...A013140
exp(tanh(x)+arctan(x))=1+2*x+4/2!*x^2+4/3!*x^3-16/4!*x^4-88/5!*x^5...
sin(tanh(x)+arctan(x))=2*x-12/3!*x^3+232/5!*x^5-8960/7!*x^7...A013141
sin(tanh(x)+arctan(x))=2*x-12/3!*x^3+232/5!*x^5-8960/7!*x^7...
arcsin(tanh(x)+arctan(x))=2*x+4/3!*x^3+168/5!*x^5+13248/7!*x^7...A013142
arcsin(tanh(x)+arctan(x))=2*x+4/3!*x^3+168/5!*x^5+13248/7!*x^7...
tan(tanh(x)+arctan(x))=2*x+12/3!*x^3+232/5!*x^5+9184/7!*x^7...A013143
tan(tanh(x)+arctan(x))=2*x+12/3!*x^3+232/5!*x^5+9184/7!*x^7...
arctan(tanh(x)+arctan(x))=2*x-20/3!*x^3+1128/5!*x^5-158112/7!*x^7...A013144
arctan(tanh(x)+arctan(x))=2*x-20/3!*x^3+1128/5!*x^5-158112/7!*x^7...
E.g.f.: cos(tanh(x)+arctan(x))=1-4/2!*x^2+48/4!*x^4-1344/6!*x^6+68096/8!*x^8...A013145
E.g.f.: cos(tanh(x)+arctan(x))=1-4/2!*x^2+48/4!*x^4-1344/6!*x^6+68096/8!*x^8...
sinh(tanh(x)+arctan(x))=2*x+4/3!*x^3-88/5!*x^5+2496/7!*x^7...A013146
sinh(tanh(x)+arctan(x))=2*x+4/3!*x^3-88/5!*x^5+2496/7!*x^7...
arcsinh(tanh(x)+arctan(x))=2*x-12/3!*x^3+488/5!*x^5-55552/7!*x^7...A013147
arcsinh(tanh(x)+arctan(x))=2*x-12/3!*x^3+488/5!*x^5-55552/7!*x^7...
tanh(tanh(x)+arctan(x))=2*x-20/3!*x^3+872/5!*x^5-82848/7!*x^7...A013148
tanh(tanh(x)+arctan(x))=2*x-20/3!*x^3+872/5!*x^5-82848/7!*x^7...
cosh(tanh(x)+arctan(x))=1+4/2!*x^2-16/4!*x^4+64/6!*x^6+4096/8!*x^8...A013149
cosh(tanh(x)+arctan(x))=1+4/2!*x^2-16/4!*x^4+64/6!*x^6+4096/8!*x^8...
sec(tanh(x)+arctan(x))=1+4/2!*x^2+48/4!*x^4+1344/6!*x^6+71680/8!*x^8...A013150
sec(tanh(x)+arctan(x))=1+4/2!*x^2+48/4!*x^4+1344/6!*x^6+71680/8!*x^8...
sech(tanh(x)+arctan(x))=1-4/2!*x^2+112/4!*x^4-7744/6!*x^6...A013151
sech(tanh(x)+arctan(x))=1-4/2!*x^2+112/4!*x^4-7744/6!*x^6...
E.g.f.: log(tanh(x)+cos(x))=x-2/2!*x^2+3/3!*x^3-12/4!*x^4+65/5!*x^5...A013152
E.g.f.: log(tanh(x)+cos(x))=x-2/2!*x^2+3/3!*x^3-12/4!*x^4+65/5!*x^5...
Expansion of e.g.f.: exp(tanh(x)+sinh(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+9/5!*x^5...A013153
Expansion of e.g.f.: exp(tanh(x)+sinh(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+9/5!*x^5...
exp(tanh(x)+arcsinh(x)) = 1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-63/5!*x^5...A013154
exp(tanh(x)+arcsinh(x)) = 1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-63/5!*x^5...
Expansion of e.g.f. exp(arctanh(x)+log(x+1)).A013155
Expansion of e.g.f. exp(arctanh(x)+log(x+1)).
sin(arctanh(x) + log(x+1)) = 2*x - 1/2!*x^2 - 4/3!*x^3 + 18/4!*x^4 - 110/5!*x^5 + ...A013156
sin(arctanh(x) + log(x+1)) = 2*x - 1/2!*x^2 - 4/3!*x^3 + 18/4!*x^4 - 110/5!*x^5 + ...
Expansion of e.g.f.: arcsin(arctanh(x)+log(x+1))=2*x-1/2!*x^2+12/3!*x^3-30/4!*x^4+526/5!*x^5...A013157
Expansion of e.g.f.: arcsin(arctanh(x)+log(x+1))=2*x-1/2!*x^2+12/3!*x^3-30/4!*x^4+526/5!*x^5...
Expansion of e.g.f. tan(arctanh(x) + log(x+1)).A013158
Expansion of e.g.f. tan(arctanh(x) + log(x+1)).
arctan(arctanh(x)+log(x+1))=2*x-1/2!*x^2-12/3!*x^3+42/4!*x^4+436/5!*x^5...A013159
arctan(arctanh(x)+log(x+1))=2*x-1/2!*x^2-12/3!*x^3+42/4!*x^4+436/5!*x^5...
cos(arctanh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-19/4!*x^4+20/5!*x^5...A013160
cos(arctanh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-19/4!*x^4+20/5!*x^5...