Sequences

392,541 sequences

Expansion of e.g.f. sin(arctan(x) + log(x+1)).A012961
Expansion of e.g.f. sin(arctan(x) + log(x+1)).
Expansion of e.g.f. arcsin(arctan(x) + log(x+1)).A012962
Expansion of e.g.f. arcsin(arctan(x) + log(x+1)).
Expansion of e.g.f.: arctan(arctan(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+756/5!*x^5...A012963
Expansion of e.g.f.: arctan(arctan(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+756/5!*x^5...
Expansion of e.g.f.: cos(arctan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+13/4!*x^4-20/5!*x^5...A012964
Expansion of e.g.f.: cos(arctan(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(arctan(x) + log(x+1)).A012965
Expansion of e.g.f. sinh(arctan(x) + log(x+1)).
Expansion of e.g.f. arcsinh(arctan(x) + log(x+1)).A012966
Expansion of e.g.f. arcsinh(arctan(x) + log(x+1)).
E.g.f.: tanh(arctan(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+500/5!*x^5...A012967
E.g.f.: tanh(arctan(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+500/5!*x^5...
arctanh(arctan(x)+log(x+1))=2*x-1/2!*x^2+16/3!*x^3-54/4!*x^4+876/5!*x^5...A012968
arctanh(arctan(x)+log(x+1))=2*x-1/2!*x^2+16/3!*x^3-54/4!*x^4+876/5!*x^5...
Expansion of e.g.f.: cosh(arctan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+19/4!*x^4-140/5!*x^5...A012969
Expansion of e.g.f.: cosh(arctan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+19/4!*x^4-140/5!*x^5...
sec(arctan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+83/4!*x^4-460/5!*x^5...A012970
sec(arctan(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(arctan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+77/4!*x^4-340/5!*x^5...A012971
Expansion of e.g.f.: sech(arctan(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. log(arctan(x) + exp(x)).A012972
Expansion of e.g.f. log(arctan(x) + exp(x)).
exp(arctan(x)+sin(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-63/5!*x^5...A012973
exp(arctan(x)+sin(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-63/5!*x^5...
sin(arctan(x)+sin(x))=2*x-11/3!*x^3+177/5!*x^5-5889/7!*x^7...A012974
sin(arctan(x)+sin(x))=2*x-11/3!*x^3+177/5!*x^5-5889/7!*x^7...
arcsin(arctan(x)+sin(x))=2*x+5/3!*x^3+193/5!*x^5+16319/7!*x^7...A012975
arcsin(arctan(x)+sin(x))=2*x+5/3!*x^3+193/5!*x^5+16319/7!*x^7...
arctan(arctan(x)+sin(x))=2*x-19/3!*x^3+1033/5!*x^5-139921/7!*x^7...A012976
arctan(arctan(x)+sin(x))=2*x-19/3!*x^3+1033/5!*x^5-139921/7!*x^7...
cos(arctan(x)+sin(x))=1-4/2!*x^2+40/4!*x^4-934/6!*x^6+42648/8!*x^8...A012977
cos(arctan(x)+sin(x))=1-4/2!*x^2+40/4!*x^4-934/6!*x^6+42648/8!*x^8...
sinh(arctan(x)+sin(x))=2*x+5/3!*x^3-63/5!*x^5+1087/7!*x^7...A012978
sinh(arctan(x)+sin(x))=2*x+5/3!*x^3-63/5!*x^5+1087/7!*x^7...
arcsinh(arctan(x)+sin(x))=2*x-11/3!*x^3+433/5!*x^5-48001/7!*x^7...A012979
arcsinh(arctan(x)+sin(x))=2*x-11/3!*x^3+433/5!*x^5-48001/7!*x^7...
tanh(arctan(x)+sin(x))=2*x-19/3!*x^3+777/5!*x^5-69137/7!*x^7...A012980
tanh(arctan(x)+sin(x))=2*x-19/3!*x^3+777/5!*x^5-69137/7!*x^7...
arctanh(arctan(x)+sin(x))=2*x+13/3!*x^3+553/5!*x^5+57839/7!*x^7...A012981
arctanh(arctan(x)+sin(x))=2*x+13/3!*x^3+553/5!*x^5+57839/7!*x^7...
cosh(arctan(x)+sin(x))=1+4/2!*x^2-8/4!*x^4-26/6!*x^6+424/8!*x^8...A012982
cosh(arctan(x)+sin(x))=1+4/2!*x^2-8/4!*x^4-26/6!*x^6+424/8!*x^8...
sec(arctan(x)+sin(x))=1+4/2!*x^2+56/4!*x^4+1894/6!*x^6+117288/8!*x^8...A012983
sec(arctan(x)+sin(x))=1+4/2!*x^2+56/4!*x^4+1894/6!*x^6+117288/8!*x^8...
sech(arctan(x)+sin(x))=1-4/2!*x^2+104/4!*x^4-6694/6!*x^6...A012984
sech(arctan(x)+sin(x))=1-4/2!*x^2+104/4!*x^4-6694/6!*x^6...
exp(arctan(x)+arcsin(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+25/5!*x^5...A012985
exp(arctan(x)+arcsin(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+25/5!*x^5...
sin(arctan(x)+arcsin(x))=2*x-9/3!*x^3+105/5!*x^5-4095/7!*x^7...A012986
sin(arctan(x)+arcsin(x))=2*x-9/3!*x^3+105/5!*x^5-4095/7!*x^7...
arcsin(arctan(x)+arcsin(x))=2*x+7/3!*x^3+281/5!*x^5+26177/7!*x^7...A012987
arcsin(arctan(x)+arcsin(x))=2*x+7/3!*x^3+281/5!*x^5+26177/7!*x^7...
Expansion of e.g.f. arctan(arctan(x)+arcsin(x)) (odd powers only).A012988
Expansion of e.g.f. arctan(arctan(x)+arcsin(x)) (odd powers only).
Expansion of e.g.f. cos(arctan(x) + arcsin(x)) = ((1-x^2)^(1/2) - x^2)/(1+x^2)^(1/2), even powers only.A012989
Expansion of e.g.f. cos(arctan(x) + arcsin(x)) = ((1-x^2)^(1/2) - x^2)/(1+x^2)^(1/2), even powers only.
sinh(arctan(x)+arcsin(x))=2*x+7/3!*x^3+25/5!*x^5+1985/7!*x^7...A012990
sinh(arctan(x)+arcsin(x))=2*x+7/3!*x^3+25/5!*x^5+1985/7!*x^7...
arcsinh(arctan(x)+arcsin(x))=2*x-9/3!*x^3+361/5!*x^5-37247/7!*x^7...A012991
arcsinh(arctan(x)+arcsin(x))=2*x-9/3!*x^3+361/5!*x^5-37247/7!*x^7...
tanh(arctan(x)+arcsin(x))=2*x-17/3!*x^3+625/5!*x^5-50095/7!*x^7...A012992
tanh(arctan(x)+arcsin(x))=2*x-17/3!*x^3+625/5!*x^5-50095/7!*x^7...
arctanh(arctan(x)+arcsin(x))=2*x+15/3!*x^3+721/5!*x^5+84049/7!*x^7...A012993
arctanh(arctan(x)+arcsin(x))=2*x+15/3!*x^3+721/5!*x^5+84049/7!*x^7...
cosh(arctan(x)+arcsin(x))=1+4/2!*x^2+8/4!*x^4+310/6!*x^6+4600/8!*x^8...A012994
cosh(arctan(x)+arcsin(x))=1+4/2!*x^2+8/4!*x^4+310/6!*x^6+4600/8!*x^8...
sec(arctan(x)+arcsin(x))=1+4/2!*x^2+72/4!*x^4+3510/6!*x^6+315000/8!*x^8...A012995
sec(arctan(x)+arcsin(x))=1+4/2!*x^2+72/4!*x^4+3510/6!*x^6+315000/8!*x^8...
sech(arctan(x)+arcsin(x))=1-4/2!*x^2+88/4!*x^4-5110/6!*x^6...A012996
sech(arctan(x)+arcsin(x))=1-4/2!*x^2+88/4!*x^4-5110/6!*x^6...
Expansion of e.g.f.: exp(arctan(x)+tan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+72/5!*x^5...A012997
Expansion of e.g.f.: exp(arctan(x)+tan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+72/5!*x^5...
sin(arctan(x)+tan(x))=2*x-8/3!*x^3+72/5!*x^5-3936/7!*x^7...A012998
sin(arctan(x)+tan(x))=2*x-8/3!*x^3+72/5!*x^5-3936/7!*x^7...
arcsin(arctan(x)+tan(x))=2*x+8/3!*x^3+328/5!*x^5+31712/7!*x^7...A012999
arcsin(arctan(x)+tan(x))=2*x+8/3!*x^3+328/5!*x^5+31712/7!*x^7...
arctan(arctan(x)+tan(x))=2*x-16/3!*x^3+808/5!*x^5-99328/7!*x^7...A013000
arctan(arctan(x)+tan(x))=2*x-16/3!*x^3+808/5!*x^5-99328/7!*x^7...
cos(arctan(x)+tan(x))=1-4/2!*x^2+16/4!*x^4-544/6!*x^6+25344/8!*x^8...A013001
cos(arctan(x)+tan(x))=1-4/2!*x^2+16/4!*x^4-544/6!*x^6+25344/8!*x^8...
sinh(arctan(x)+tan(x))=2*x+8/3!*x^3+72/5!*x^5+3040/7!*x^7...A013002
sinh(arctan(x)+tan(x))=2*x+8/3!*x^3+72/5!*x^5+3040/7!*x^7...
arcsinh(arctan(x)+tan(x))=2*x-8/3!*x^3+328/5!*x^5-32608/7!*x^7...A013003
arcsinh(arctan(x)+tan(x))=2*x-8/3!*x^3+328/5!*x^5-32608/7!*x^7...
tanh(arctan(x)+tan(x))=2*x-16/3!*x^3+552/5!*x^5-41984/7!*x^7...A013004
tanh(arctan(x)+tan(x))=2*x-16/3!*x^3+552/5!*x^5-41984/7!*x^7...
arctanh(arctan(x)+tan(x))=2*x+16/3!*x^3+808/5!*x^5+98432/7!*x^7...A013005
arctanh(arctan(x)+tan(x))=2*x+16/3!*x^3+808/5!*x^5+98432/7!*x^7...
cosh(arctan(x)+tan(x))=1+4/2!*x^2+16/4!*x^4+544/6!*x^6+11008/8!*x^8...A013006
cosh(arctan(x)+tan(x))=1+4/2!*x^2+16/4!*x^4+544/6!*x^6+11008/8!*x^8...
sec(arctan(x)+tan(x))=1+4/2!*x^2+80/4!*x^4+4384/6!*x^6+436992/8!*x^8...A013007
sec(arctan(x)+tan(x))=1+4/2!*x^2+80/4!*x^4+4384/6!*x^6+436992/8!*x^8...
sech(arctan(x)+tan(x))=1-4/2!*x^2+80/4!*x^4-4384/6!*x^6+451328/8!*x^8...A013008
sech(arctan(x)+tan(x))=1-4/2!*x^2+80/4!*x^4-4384/6!*x^6+451328/8!*x^8...
Expansion of e.g.f. log(cos(x) + log(x+1)).A013009
Expansion of e.g.f. log(cos(x) + log(x+1)).
Expansion of e.g.f. log(cos(x) + arcsin(x)).A013010
Expansion of e.g.f. log(cos(x) + arcsin(x)).