Sequences

392,541 sequences

Expansion of e.g.f. log(arcsin(x) + exp(x)).A012911
Expansion of e.g.f. log(arcsin(x) + exp(x)).
Expansion of e.g.f.: exp(arcsin(x)+sin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5...A012912
Expansion of e.g.f.: exp(arcsin(x)+sin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5...
Expansion of e.g.f. arcsin(arcsin(x)+sin(x)) (odd powers only).A012913
Expansion of e.g.f. arcsin(arcsin(x)+sin(x)) (odd powers only).
tan(arcsin(x)+sin(x))=2*x+16/3!*x^3+522/5!*x^5+36720/7!*x^7...A012914
tan(arcsin(x)+sin(x))=2*x+16/3!*x^3+522/5!*x^5+36720/7!*x^7...
arctan(arcsin(x)+sin(x))=2*x-16/3!*x^3+778/5!*x^5-93616/7!*x^7...A012915
arctan(arcsin(x)+sin(x))=2*x-16/3!*x^3+778/5!*x^5-93616/7!*x^7...
cos(arcsin(x)+sin(x))=1-4/2!*x^2+16/4!*x^4-184/6!*x^6+1152/8!*x^8...A012916
cos(arcsin(x)+sin(x))=1-4/2!*x^2+16/4!*x^4-184/6!*x^6+1152/8!*x^8...
sinh(arcsin(x) + sin(x)) = 2*x+8/3!*x^3+42/5!*x^5+1192/7!*x^7 ... .A012917
sinh(arcsin(x) + sin(x)) = 2*x+8/3!*x^3+42/5!*x^5+1192/7!*x^7 ... .
arcsinh(arcsin(x)+sin(x))=2*x-8/3!*x^3+298/5!*x^5-29416/7!*x^7...A012918
arcsinh(arcsin(x)+sin(x))=2*x-8/3!*x^3+298/5!*x^5-29416/7!*x^7...
tanh(arcsin(x)+sin(x))=2*x-16/3!*x^3+522/5!*x^5-36272/7!*x^7...A012919
tanh(arcsin(x)+sin(x))=2*x-16/3!*x^3+522/5!*x^5-36272/7!*x^7...
arctanh(arcsin(x)+sin(x))=2*x+16/3!*x^3+778/5!*x^5+94064/7!*x^7...A012920
arctanh(arcsin(x)+sin(x))=2*x+16/3!*x^3+778/5!*x^5+94064/7!*x^7...
cosh(arcsin(x)+sin(x))=1+4/2!*x^2+16/4!*x^4+184/6!*x^6+8320/8!*x^8...A012921
cosh(arcsin(x)+sin(x))=1+4/2!*x^2+16/4!*x^4+184/6!*x^6+8320/8!*x^8...
sec(arcsin(x)+sin(x))=1+4/2!*x^2+80/4!*x^4+4024/6!*x^6+380544/8!*x^8...A012922
sec(arcsin(x)+sin(x))=1+4/2!*x^2+80/4!*x^4+4024/6!*x^6+380544/8!*x^8...
sech(arcsin(x)+sin(x))=1-4/2!*x^2+80/4!*x^4-4024/6!*x^6+373376/8!*x^8...A012923
sech(arcsin(x)+sin(x))=1-4/2!*x^2+80/4!*x^4-4024/6!*x^6+373376/8!*x^8...
exp(tan(x)+log(x+1))=1+2*x+3/2!*x^2+6/3!*x^3+21/4!*x^4+82/5!*x^5...A012924
exp(tan(x)+log(x+1))=1+2*x+3/2!*x^2+6/3!*x^3+21/4!*x^4+82/5!*x^5...
Expansion of e.g.f. sin(tan(x)+log(x+1)).A012925
Expansion of e.g.f. sin(tan(x)+log(x+1)).
Expansion of e.g.f. arcsin(tan(x) + log(x+1)).A012926
Expansion of e.g.f. arcsin(tan(x) + log(x+1)).
Expansion of e.g.f. tan(tan(x) + log(x+1)).A012927
Expansion of e.g.f. tan(tan(x) + log(x+1)).
Expansion of e.g.f.: cos(tan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-19/4!*x^4+20/5!*x^5...A012928
Expansion of e.g.f.: cos(tan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-19/4!*x^4+20/5!*x^5...
Expansion of e.g.f. sinh(tan(x) + log(x+1)).A012929
Expansion of e.g.f. sinh(tan(x) + log(x+1)).
arcsinh(tan(x)+log(x+1)) = 2*x-1/2!*x^2-4/3!*x^3+18/4!*x^4+138/5!*x^5...A012930
arcsinh(tan(x)+log(x+1)) = 2*x-1/2!*x^2-4/3!*x^3+18/4!*x^4+138/5!*x^5...
Tanh(tan(x)+log(x+1)) = 2*x - 1/2!*x^2 - 12/3!*x^3 + 42/4!*x^4 + 172/5!*x^5 - ...A012931
Tanh(tan(x)+log(x+1)) = 2*x - 1/2!*x^2 - 12/3!*x^3 + 42/4!*x^4 + 172/5!*x^5 - ...
Arctanh(tan(x)+log(x+1)) = 2*x - 1/2!*x^2 + 20/3!*x^3 - 54/4!*x^4 + 1188/5!*x^5 + ...A012932
Arctanh(tan(x)+log(x+1)) = 2*x - 1/2!*x^2 + 20/3!*x^3 - 54/4!*x^4 + 1188/5!*x^5 + ...
Expansion of e.g.f.: cosh(tan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+51/4!*x^4-180/5!*x^5...A012933
Expansion of e.g.f.: cosh(tan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+51/4!*x^4-180/5!*x^5...
Expansion of e.g.f.: sec(tan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+115/4!*x^4-500/5!*x^5...A012934
Expansion of e.g.f.: sec(tan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+115/4!*x^4-500/5!*x^5...
Expansion of e.g.f.: sech(tan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+45/4!*x^4-300/5!*x^5...A012935
Expansion of e.g.f.: sech(tan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+45/4!*x^4-300/5!*x^5...
Expansion of e.g.f.: exp(tan(x)+sin(x))=1+2*x+4/2!*x^2+9/3!*x^3+24/4!*x^4+89/5!*x^5...A012936
Expansion of e.g.f.: exp(tan(x)+sin(x))=1+2*x+4/2!*x^2+9/3!*x^3+24/4!*x^4+89/5!*x^5...
Expansion of e.g.f. sin(tan(x)+sin(x)) (odd powers only).A012937
Expansion of e.g.f. sin(tan(x)+sin(x)) (odd powers only).
arcsin(tan(x)+sin(x))=2*x+9/3!*x^3+345/5!*x^5+35679/7!*x^7...A012938
arcsin(tan(x)+sin(x))=2*x+9/3!*x^3+345/5!*x^5+35679/7!*x^7...
tan(tan(x)+sin(x))=2*x+17/3!*x^3+609/5!*x^5+47183/7!*x^7...A012939
tan(tan(x)+sin(x))=2*x+17/3!*x^3+609/5!*x^5+47183/7!*x^7...
Expansion of e.g.f. cos(tan(x)+sin(x)) (even powers only).A012940
Expansion of e.g.f. cos(tan(x)+sin(x)) (even powers only).
sinh(tan(x)+sin(x))=2*x+9/3!*x^3+89/5!*x^5+2527/7!*x^7...A012941
sinh(tan(x)+sin(x))=2*x+9/3!*x^3+89/5!*x^5+2527/7!*x^7...
arcsinh(tan(x)+sin(x))=2*x-7/3!*x^3+265/5!*x^5-25057/7!*x^7...A012942
arcsinh(tan(x)+sin(x))=2*x-7/3!*x^3+265/5!*x^5-25057/7!*x^7...
tanh(tan(x)+sin(x))=2*x-15/3!*x^3+449/5!*x^5-28721/7!*x^7...A012943
tanh(tan(x)+sin(x))=2*x-15/3!*x^3+449/5!*x^5-28721/7!*x^7...
E.g.f.: arctanh(tan(x)+sin(x))=2*x+17/3!*x^3+865/5!*x^5+109007/7!*x^7...A012944
E.g.f.: arctanh(tan(x)+sin(x))=2*x+17/3!*x^3+865/5!*x^5+109007/7!*x^7...
cosh(tan(x)+sin(x))=1+4/2!*x^2+24/4!*x^4+438/6!*x^6+16072/8!*x^8...A012945
cosh(tan(x)+sin(x))=1+4/2!*x^2+24/4!*x^4+438/6!*x^6+16072/8!*x^8...
sec(tan(x)+sin(x))=1+4/2!*x^2+88/4!*x^4+4918/6!*x^6+512840/8!*x^8...A012946
sec(tan(x)+sin(x))=1+4/2!*x^2+88/4!*x^4+4918/6!*x^6+512840/8!*x^8...
sech(tan(x)+sin(x))=1-4/2!*x^2+72/4!*x^4-3318/6!*x^6+283640/8!*x^8...A012947
sech(tan(x)+sin(x))=1-4/2!*x^2+72/4!*x^4-3318/6!*x^6+283640/8!*x^8...
Expansion of e.g.f.: exp(tan(x)+arcsin(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+177/5!*x^5...A012948
Expansion of e.g.f.: exp(tan(x)+arcsin(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+177/5!*x^5...
Expansion of e.g.f. sin(tan(x)+arcsin(x)) (odd powers only).A012949
Expansion of e.g.f. sin(tan(x)+arcsin(x)) (odd powers only).
a(n) = (2n+1)! * [x^(2n+1)]; expansion of arcsin(tan(x)+arcsin(x)).A012950
a(n) = (2n+1)! * [x^(2n+1)]; expansion of arcsin(tan(x)+arcsin(x)).
tan(tan(x)+arcsin(x))=2*x+19/3!*x^3+777/5!*x^5+68913/7!*x^7...A012951
tan(tan(x)+arcsin(x))=2*x+19/3!*x^3+777/5!*x^5+68913/7!*x^7...
cos(tan(x)+arcsin(x))=1-4/2!*x^2-8/4!*x^4+26/6!*x^6+4008/8!*x^8...A012952
cos(tan(x)+arcsin(x))=1-4/2!*x^2-8/4!*x^4+26/6!*x^6+4008/8!*x^8...
sinh(tan(x)+arcsin(x))=2*x+11/3!*x^3+177/5!*x^5+5665/7!*x^7...A012953
sinh(tan(x)+arcsin(x))=2*x+11/3!*x^3+177/5!*x^5+5665/7!*x^7...
arcsinh(tan(x)+arcsin(x))=2*x-5/3!*x^3+193/5!*x^5-16543/7!*x^7...A012954
arcsinh(tan(x)+arcsin(x))=2*x-5/3!*x^3+193/5!*x^5-16543/7!*x^7...
tanh(tan(x)+arcsin(x))=2*x-13/3!*x^3+297/5!*x^5-14159/7!*x^7...A012955
tanh(tan(x)+arcsin(x))=2*x-13/3!*x^3+297/5!*x^5-14159/7!*x^7...
arctanh(tan(x)+arcsin(x))=2*x+19/3!*x^3+1033/5!*x^5+139697/7!*x^7...A012956
arctanh(tan(x)+arcsin(x))=2*x+19/3!*x^3+1033/5!*x^5+139697/7!*x^7...
cosh(tan(x)+arcsin(x))=1+4/2!*x^2+40/4!*x^4+934/6!*x^6+39064/8!*x^8...A012957
cosh(tan(x)+arcsin(x))=1+4/2!*x^2+40/4!*x^4+934/6!*x^6+39064/8!*x^8...
sec(tan(x)+arcsin(x))=1+4/2!*x^2+104/4!*x^4+6694/6!*x^6+801048/8!*x^8...A012958
sec(tan(x)+arcsin(x))=1+4/2!*x^2+104/4!*x^4+6694/6!*x^6+801048/8!*x^8...
sech(tan(x)+arcsin(x))=1-4/2!*x^2+56/4!*x^4-1894/6!*x^6+120872/8!*x^8...A012959
sech(tan(x)+arcsin(x))=1-4/2!*x^2+56/4!*x^4-1894/6!*x^6+120872/8!*x^8...
Expansion of e.g.f. exp(arctan(x)+log(x+1)).A012960
Expansion of e.g.f. exp(arctan(x)+log(x+1)).