Sequences
392,541 sequences
- cos(sinh(x)+arctan(x))=1-4/2!*x^2+24/4!*x^4-534/6!*x^6+27272/8!*x^8...A013061
cos(sinh(x)+arctan(x))=1-4/2!*x^2+24/4!*x^4-534/6!*x^6+27272/8!*x^8...
- sinh(sinh(x)+arctan(x))=2*x+7/3!*x^3+17/5!*x^5+1089/7!*x^7...A013062
sinh(sinh(x)+arctan(x))=2*x+7/3!*x^3+17/5!*x^5+1089/7!*x^7...
- tanh(sinh(x)+arctan(x))=2*x-17/3!*x^3+617/5!*x^5-48975/7!*x^7...A013063
tanh(sinh(x)+arctan(x))=2*x-17/3!*x^3+617/5!*x^5-48975/7!*x^7...
- arctanh(sinh(x)+arctan(x))=2*x+15/3!*x^3+713/5!*x^5+82481/7!*x^7...A013064
arctanh(sinh(x)+arctan(x))=2*x+15/3!*x^3+713/5!*x^5+82481/7!*x^7...
- cosh(sinh(x)+arctan(x))=1+4/2!*x^2+8/4!*x^4+214/6!*x^6-2120/8!*x^8...A013065
cosh(sinh(x)+arctan(x))=1+4/2!*x^2+8/4!*x^4+214/6!*x^6-2120/8!*x^8...
- sec(sinh(x)+arctan(x)) = 1 + 4/2!*x^2 + 72/4!*x^4 + 3414/6!*x^6 + 293944/8!*x^8 + ...A013066
sec(sinh(x)+arctan(x)) = 1 + 4/2!*x^2 + 72/4!*x^4 + 3414/6!*x^6 + 293944/8!*x^8 + ...
- sech(sinh(x)+arctan(x))=1-4/2!*x^2+88/4!*x^4-5014/6!*x^6...A013067
sech(sinh(x)+arctan(x))=1-4/2!*x^2+88/4!*x^4-5014/6!*x^6...
- Expansion of e.g.f. log(sinh(x) + cos(x)).A013068
Expansion of e.g.f. log(sinh(x) + cos(x)).
- Expansion of e.g.f.: exp(arcsinh(x)+log(x+1))=1+2*x+3/2!*x^2+3/3!*x^3-3/4!*x^4-15/5!*x^5...A013069
Expansion of e.g.f.: exp(arcsinh(x)+log(x+1))=1+2*x+3/2!*x^2+3/3!*x^3-3/4!*x^4-15/5!*x^5...
- sin(arcsinh(x)+log(x+1)) = 2*x-1/2!*x^2-7/3!*x^3+18/4!*x^4-5/5!*x^5...A013070
sin(arcsinh(x)+log(x+1)) = 2*x-1/2!*x^2-7/3!*x^3+18/4!*x^4-5/5!*x^5...
- Expansion of e.g.f. arcsin(arcsinh(x) + log(x+1)).A013071
Expansion of e.g.f. arcsin(arcsinh(x) + log(x+1)).
- tan(arcsinh(x)+log(x+1))=2*x-1/2!*x^2+17/3!*x^3-54/4!*x^4+685/5!*x^5...A013072
tan(arcsinh(x)+log(x+1))=2*x-1/2!*x^2+17/3!*x^3-54/4!*x^4+685/5!*x^5...
- Expansion of e.g.f. arctan(arcsinh(x) + log(x+1)).A013073
Expansion of e.g.f. arctan(arcsinh(x) + log(x+1)).
- cos(arcsinh(x)+log(x+1)) = 1-4/2!*x^2+6/3!*x^3+5/4!*x^4-10/5!*x^5...A013074
cos(arcsinh(x)+log(x+1)) = 1-4/2!*x^2+6/3!*x^3+5/4!*x^4-10/5!*x^5...
- Expansion of e.g.f. arcsinh(arcsinh(x) + log(x+1)).A013075
Expansion of e.g.f. arcsinh(arcsinh(x) + log(x+1)).
- Expansion of e.g.f. tanh(arcsinh(x) + log(x+1)).A013076
Expansion of e.g.f. tanh(arcsinh(x) + log(x+1)).
- arctanh(arcsinh(x)+log(x+1))=2*x-1/2!*x^2+17/3!*x^3-54/4!*x^4...A013077
arctanh(arcsinh(x)+log(x+1))=2*x-1/2!*x^2+17/3!*x^3-54/4!*x^4...
- cosh(arcsinh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+27/4!*x^4-150/5!*x^5...A013078
cosh(arcsinh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+27/4!*x^4-150/5!*x^5...
- E.g.f.: sec(arcsinh(x)+log(x+1)) = 1 + 4/2!*x^2 - 6/3!*x^3 + 91/4!*x^4 - 470/5!*x^5 + ...A013079
E.g.f.: sec(arcsinh(x)+log(x+1)) = 1 + 4/2!*x^2 - 6/3!*x^3 + 91/4!*x^4 - 470/5!*x^5 + ...
- Expansion of e.g.f.: sech(arcsinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+69/4!*x^4-330/5!*x^5...A013080
Expansion of e.g.f.: sech(arcsinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+69/4!*x^4-330/5!*x^5...
- log(arcsinh(x)+exp(x))=2*x-3/2!*x^2+10/3!*x^3-50/4!*x^4+348/5!*x^5...A013081
log(arcsinh(x)+exp(x))=2*x-3/2!*x^2+10/3!*x^3-50/4!*x^4+348/5!*x^5...
- exp(arcsinh(x)+sin(x))=1+2*x+4/2!*x^2+6/3!*x^3-38/5!*x^5-96/6!*x^6...A013082
exp(arcsinh(x)+sin(x))=1+2*x+4/2!*x^2+6/3!*x^3-38/5!*x^5-96/6!*x^6...
- arcsin(arcsinh(x)+sin(x))=2*x+6/3!*x^3+218/5!*x^5+19894/7!*x^7...A013083
arcsin(arcsinh(x)+sin(x))=2*x+6/3!*x^3+218/5!*x^5+19894/7!*x^7...
- exp(arcsinh(x)+arcsin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+50/5!*x^5...A013084
exp(arcsinh(x)+arcsin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+50/5!*x^5...
- sin(arcsinh(x)+arcsin(x))=2*x-8/3!*x^3+50/5!*x^5-1640/7!*x^7...A013085
sin(arcsinh(x)+arcsin(x))=2*x-8/3!*x^3+50/5!*x^5-1640/7!*x^7...
- arcsin(arcsinh(x)+arcsin(x))=2*x+8/3!*x^3+306/5!*x^5+30312/7!*x^7...A013086
arcsin(arcsinh(x)+arcsin(x))=2*x+8/3!*x^3+306/5!*x^5+30312/7!*x^7...
- tan(arcsinh(x)+arcsin(x))=2*x+16/3!*x^3+530/5!*x^5+37840/7!*x^7...A013087
tan(arcsinh(x)+arcsin(x))=2*x+16/3!*x^3+530/5!*x^5+37840/7!*x^7...
- arctan(arcsinh(x)+arcsin(x))=2*x-16/3!*x^3+786/5!*x^5-95184/7!*x^7...A013088
arctan(arcsinh(x)+arcsin(x))=2*x-16/3!*x^3+786/5!*x^5-95184/7!*x^7...
- cos(arcsinh(x)+arcsin(x))=1-4/2!*x^2+16/4!*x^4-280/6!*x^6+8320/8!*x^8...A013089
cos(arcsinh(x)+arcsin(x))=1-4/2!*x^2+16/4!*x^4-280/6!*x^6+8320/8!*x^8...
- sec(arcsinh(x)+arcsin(x))=1+4/2!*x^2+80/4!*x^4+4120/6!*x^6...A013090
sec(arcsinh(x)+arcsin(x))=1+4/2!*x^2+80/4!*x^4+4120/6!*x^6...
- E.g.f.: exp(arcsinh(x)+tan(x)) = 1 + 2*x + 4/2!*x^2 + 9/3!*x^3 + 24/4!*x^4 + 97/5!*x^5 + ....A013091
E.g.f.: exp(arcsinh(x)+tan(x)) = 1 + 2*x + 4/2!*x^2 + 9/3!*x^3 + 24/4!*x^4 + 97/5!*x^5 + ....
- sin(arcsinh(x)+tan(x))=2*x-7/3!*x^3+17/5!*x^5-1761/7!*x^7...A013092
sin(arcsinh(x)+tan(x))=2*x-7/3!*x^3+17/5!*x^5-1761/7!*x^7...
- arcsin(arcsinh(x)+tan(x))=2*x+9/3!*x^3+353/5!*x^5+36127/7!*x^7...A013093
arcsin(arcsinh(x)+tan(x))=2*x+9/3!*x^3+353/5!*x^5+36127/7!*x^7...
- tan(arcsinh(x)+tan(x))=2*x+17/3!*x^3+617/5!*x^5+48303/7!*x^7...A013094
tan(arcsinh(x)+tan(x))=2*x+17/3!*x^3+617/5!*x^5+48303/7!*x^7...
- arctan(arcsinh(x)+tan(x))=2*x-15/3!*x^3+713/5!*x^5-83153/7!*x^7...A013095
arctan(arcsinh(x)+tan(x))=2*x-15/3!*x^3+713/5!*x^5-83153/7!*x^7...
- cos(arcsinh(x)+tan(x))=1-4/2!*x^2+8/4!*x^4-214/6!*x^6+8632/8!*x^8...A013096
cos(arcsinh(x)+tan(x))=1-4/2!*x^2+8/4!*x^4-214/6!*x^6+8632/8!*x^8...
- arcsinh(arcsinh(x)+tan(x))=2*x-7/3!*x^3+273/5!*x^5-25953/7!*x^7...A013097
arcsinh(arcsinh(x)+tan(x))=2*x-7/3!*x^3+273/5!*x^5-25953/7!*x^7...
- tanh(arcsinh(x)+tan(x)) = 2*x-15/3!*x^3+457/5!*x^5-30289/7!*x^7...A013098
tanh(arcsinh(x)+tan(x)) = 2*x-15/3!*x^3+457/5!*x^5-30289/7!*x^7...
- arctanh(arcsinh(x)+tan(x)) = 2*x+17/3!*x^3+873/5!*x^5+110127/7!*x^7...A013099
arctanh(arcsinh(x)+tan(x)) = 2*x+17/3!*x^3+873/5!*x^5+110127/7!*x^7...
- cosh(arcsinh(x)+tan(x))=1+4/2!*x^2+24/4!*x^4+534/6!*x^6+16520/8!*x^8...A013100
cosh(arcsinh(x)+tan(x))=1+4/2!*x^2+24/4!*x^4+534/6!*x^6+16520/8!*x^8...
- Expansion of sec(arcsinh(x) + tan(x)) (coefficients of even powers only).A013101
Expansion of sec(arcsinh(x) + tan(x)) (coefficients of even powers only).
- Expansion of e.g.f: sech(arcsinh(x)+tan(x)).A013102
Expansion of e.g.f: sech(arcsinh(x)+tan(x)).
- exp(arcsinh(x)+arctan(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-55/5!*x^5...A013103
exp(arcsinh(x)+arctan(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-55/5!*x^5...
- sin(arcsinh(x)+arctan(x))=2*x-11/3!*x^3+185/5!*x^5-6785/7!*x^7...A013104
sin(arcsinh(x)+arctan(x))=2*x-11/3!*x^3+185/5!*x^5-6785/7!*x^7...
- E.g.f.: arcsin(arcsinh(x)+arctan(x)) = 2*x + 5/3!*x^3 + 201/5!*x^5 + 16767/7!*x^7 +...A013105
E.g.f.: arcsin(arcsinh(x)+arctan(x)) = 2*x + 5/3!*x^3 + 201/5!*x^5 + 16767/7!*x^7 +...
- tan(arcsinh(x)+arctan(x))=2*x+13/3!*x^3+305/5!*x^5+15055/7!*x^7...A013106
tan(arcsinh(x)+arctan(x))=2*x+13/3!*x^3+305/5!*x^5+15055/7!*x^7...
- arctan(arcsinh(x)+arctan(x))=2*x-19/3!*x^3+1041/5!*x^5-141489/7!*x^7...A013107
arctan(arcsinh(x)+arctan(x))=2*x-19/3!*x^3+1041/5!*x^5-141489/7!*x^7...
- cos(arcsinh(x)+arctan(x))=1-4/2!*x^2+40/4!*x^4-1030/6!*x^6+51160/8!*x^8...A013108
cos(arcsinh(x)+arctan(x))=1-4/2!*x^2+40/4!*x^4-1030/6!*x^6+51160/8!*x^8...
- arcsinh(arcsinh(x)+arctan(x))=2*x-11/3!*x^3+441/5!*x^5-48897/7!*x^7...A013109
arcsinh(arcsinh(x)+arctan(x))=2*x-11/3!*x^3+441/5!*x^5-48897/7!*x^7...
- tanh(arcsinh(x)+arctan(x))=2*x-19/3!*x^3+785/5!*x^5-70705/7!*x^7...A013110
tanh(arcsinh(x)+arctan(x))=2*x-19/3!*x^3+785/5!*x^5-70705/7!*x^7...