Sequences

392,541 sequences

sin(sin(x)-arctan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-40599/9!*x^9...A013361
sin(sin(x)-arctan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-40599/9!*x^9...
tan(sin(x)-arctan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-39759/9!*x^9...A013362
tan(sin(x)-arctan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-39759/9!*x^9...
arctan(sin(x)-arctan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-40879/9!*x^9...A013363
arctan(sin(x)-arctan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-40879/9!*x^9...
E.g.f.: cos(sin(x)-arctan(x))=1-10/6!*x^6+1288/8!*x^8-152934/10!*x^10...A013364
E.g.f.: cos(sin(x)-arctan(x))=1-10/6!*x^6+1288/8!*x^8-152934/10!*x^10...
sinh(sin(x)-arctan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-40039/9!*x^9...A013365
sinh(sin(x)-arctan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-40039/9!*x^9...
cosh(sin(x)-arctan(x))=1+10/6!*x^6-1288/8!*x^8+152934/10!*x^10...A013366
cosh(sin(x)-arctan(x))=1+10/6!*x^6-1288/8!*x^8+152934/10!*x^10...
sec(sin(x)-arctan(x))=1+10/6!*x^6-1288/8!*x^8+152934/10!*x^10...A013367
sec(sin(x)-arctan(x))=1+10/6!*x^6-1288/8!*x^8+152934/10!*x^10...
sech(sin(x)-arctan(x))=1-10/6!*x^6+1288/8!*x^8-152934/10!*x^10...A013368
sech(sin(x)-arctan(x))=1-10/6!*x^6+1288/8!*x^8-152934/10!*x^10...
Expansion of e.g.f. exp(sin(x)-sinh(x)).A013369
Expansion of e.g.f. exp(sin(x)-sinh(x)).
sin(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7+2240/9!*x^9-2/11!*x^11...A013370
sin(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7+2240/9!*x^9-2/11!*x^11...
Expansion of tan(sinh(x)-sin(x)) = 2/3!*x^3 + 2/7!*x^7 + 4480/9!*x^9 + 2/11!*x^11 + ...A013371
Expansion of tan(sinh(x)-sin(x)) = 2/3!*x^3 + 2/7!*x^7 + 4480/9!*x^9 + 2/11!*x^11 + ...
arctan(sin(x)-sinh(x)) = -2/3!*x^3 - 2/7!*x^7 + 4480/9!*x^9 - 2/11!*x^11 + ...A013372
arctan(sin(x)-sinh(x)) = -2/3!*x^3 - 2/7!*x^7 + 4480/9!*x^9 - 2/11!*x^11 + ...
cos(sin(x)-sinh(x))=1-40/6!*x^6-480/10!*x^10+246400/12!*x^12...A013373
cos(sin(x)-sinh(x))=1-40/6!*x^6-480/10!*x^10+246400/12!*x^12...
arcsinh(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7+2240/9!*x^9-2/11!*x^11...A013374
arcsinh(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7+2240/9!*x^9-2/11!*x^11...
sec(sin(x)-sinh(x))=1+40/6!*x^6+480/10!*x^10+1232000/12!*x^12...A013375
sec(sin(x)-sinh(x))=1+40/6!*x^6+480/10!*x^10+1232000/12!*x^12...
exp(sin(x)-arcsinh(x)) = 1-8/5!*x^5+224/7!*x^7-11024/9!*x^9+8064/10!*x^10...A013376
exp(sin(x)-arcsinh(x)) = 1-8/5!*x^5+224/7!*x^7-11024/9!*x^9+8064/10!*x^10...
sin(sin(x)-arcsinh(x)) = -8/5!*x^5+224/7!*x^7-11024/9!*x^9...A013377
sin(sin(x)-arcsinh(x)) = -8/5!*x^5+224/7!*x^7-11024/9!*x^9...
cos(sin(x)-arcsinh(x)) = 1-8064/10!*x^10 + 1419264/12!*x^12 ...A013378
cos(sin(x)-arcsinh(x)) = 1-8064/10!*x^10 + 1419264/12!*x^12 ...
Expansion of e.g.f.: exp(sin(x)-tanh(x))=1+1/3!*x^3-15/5!*x^5+10/6!*x^6+271/7!*x^7...A013379
Expansion of e.g.f.: exp(sin(x)-tanh(x))=1+1/3!*x^3-15/5!*x^5+10/6!*x^6+271/7!*x^7...
Expansion of e.g.f. sin(sin(x) - tanh(x)), odd powers only.A013380
Expansion of e.g.f. sin(sin(x) - tanh(x)), odd powers only.
tan(sin(x)-tanh(x))=1/3!*x^3-15/5!*x^5+271/7!*x^7-7375/9!*x^9...A013381
tan(sin(x)-tanh(x))=1/3!*x^3-15/5!*x^5+271/7!*x^7-7375/9!*x^9...
arctan(sin(x)-tanh(x))=1/3!*x^3-15/5!*x^5+271/7!*x^7-8495/9!*x^9...A013382
arctan(sin(x)-tanh(x))=1/3!*x^3-15/5!*x^5+271/7!*x^7-8495/9!*x^9...
cos(sin(x)-tanh(x))=1-10/6!*x^6+840/8!*x^8-60870/10!*x^10...A013383
cos(sin(x)-tanh(x))=1-10/6!*x^6+840/8!*x^8-60870/10!*x^10...
sinh(sin(x)-tanh(x))=1/3!*x^3-15/5!*x^5+271/7!*x^7-7655/9!*x^9...A013384
sinh(sin(x)-tanh(x))=1/3!*x^3-15/5!*x^5+271/7!*x^7-7655/9!*x^9...
cosh(sin(x)-tanh(x))=1+10/6!*x^6-840/8!*x^8+60870/10!*x^10...A013385
cosh(sin(x)-tanh(x))=1+10/6!*x^6-840/8!*x^8+60870/10!*x^10...
sec(sin(x)-tanh(x))=1+10/6!*x^6-840/8!*x^8+60870/10!*x^10...A013386
sec(sin(x)-tanh(x))=1+10/6!*x^6-840/8!*x^8+60870/10!*x^10...
sech(sin(x)-tanh(x))=1-10/6!*x^6+840/8!*x^8-60870/10!*x^10...A013387
sech(sin(x)-tanh(x))=1-10/6!*x^6+840/8!*x^8-60870/10!*x^10...
Expansion of e.g.f.: exp(sin(x)-arctanh(x))=1-3/3!*x^3-23/5!*x^5+90/6!*x^6-721/7!*x^7...A013388
Expansion of e.g.f.: exp(sin(x)-arctanh(x))=1-3/3!*x^3-23/5!*x^5+90/6!*x^6-721/7!*x^7...
sin(sin(x)-arctanh(x))=-3/3!*x^3-23/5!*x^5-721/7!*x^7-32759/9!*x^9...A013389
sin(sin(x)-arctanh(x))=-3/3!*x^3-23/5!*x^5-721/7!*x^7-32759/9!*x^9...
tan(arctanh(x)-sin(x)) = 3/3!*x^3 + 23/5!*x^5 + 721/7!*x^7 + 55439/9!*x^9...A013390
tan(arctanh(x)-sin(x)) = 3/3!*x^3 + 23/5!*x^5 + 721/7!*x^7 + 55439/9!*x^9...
-arctan(sin(x)-arctanh(x))=3/3!*x^3+23/5!*x^5+721/7!*x^7+25199/9!*x^9...A013391
-arctan(sin(x)-arctanh(x))=3/3!*x^3+23/5!*x^5+721/7!*x^7+25199/9!*x^9...
cos(sin(x)-arctanh(x))=1-90/6!*x^6-3864/8!*x^8-326214/10!*x^10...A013392
cos(sin(x)-arctanh(x))=1-90/6!*x^6-3864/8!*x^8-326214/10!*x^10...
sinh(sin(x)-arctanh(x))=-3/3!*x^3-23/5!*x^5-721/7!*x^7-47879/9!*x^9...A013393
sinh(sin(x)-arctanh(x))=-3/3!*x^3-23/5!*x^5-721/7!*x^7-47879/9!*x^9...
cosh(sin(x)-arctanh(x))=1+90/6!*x^6+3864/8!*x^8+326214/10!*x^10...A013394
cosh(sin(x)-arctanh(x))=1+90/6!*x^6+3864/8!*x^8+326214/10!*x^10...
sec(sin(x)-arctanh(x))=1+90/6!*x^6+3864/8!*x^8+326214/10!*x^10...A013395
sec(sin(x)-arctanh(x))=1+90/6!*x^6+3864/8!*x^8+326214/10!*x^10...
E.g.f.: sech(sin(x)-arctanh(x))=1-90/6!*x^6-3864/8!*x^8-326214/10!*x^10...A013396
E.g.f.: sech(sin(x)-arctanh(x))=1-90/6!*x^6-3864/8!*x^8-326214/10!*x^10...
exp(arcsin(x)-log(x+1))=1+1/2!*x^2-1/3!*x^3+9/4!*x^4-25/5!*x^5...A013397
exp(arcsin(x)-log(x+1))=1+1/2!*x^2-1/3!*x^3+9/4!*x^4-25/5!*x^5...
exp(arcsin(x)-tan(x))=1-1/3!*x^3-7/5!*x^5+10/6!*x^6-47/7!*x^7...A013398
exp(arcsin(x)-tan(x))=1-1/3!*x^3-7/5!*x^5+10/6!*x^6-47/7!*x^7...
arcsin(arcsin(x)-tan(x))=-1/3!*x^3-7/5!*x^5-47/7!*x^7+2809/9!*x^9...A013399
arcsin(arcsin(x)-tan(x))=-1/3!*x^3-7/5!*x^5-47/7!*x^7+2809/9!*x^9...
tan(arcsin(x)-tan(x))=-1/3!*x^3-7/5!*x^5-47/7!*x^7+2529/9!*x^9...A013400
tan(arcsin(x)-tan(x))=-1/3!*x^3-7/5!*x^5-47/7!*x^7+2529/9!*x^9...
arctan(arcsin(x)-tan(x)) = -1/3!*x^3 - 7/5!*x^5 - 47/7!*x^7 + 3649/9!*x^9...A013401
arctan(arcsin(x)-tan(x)) = -1/3!*x^3 - 7/5!*x^5 - 47/7!*x^7 + 3649/9!*x^9...
E.g.f.: cos(arcsin(x)-tan(x))=1-10/6!*x^6-392/8!*x^8-11814/10!*x^10...A013402
E.g.f.: cos(arcsin(x)-tan(x))=1-10/6!*x^6-392/8!*x^8-11814/10!*x^10...
arcsinh(arcsin(x)-tan(x))=-1/3!*x^3-7/5!*x^5-47/7!*x^7+3369/9!*x^9...A013403
arcsinh(arcsin(x)-tan(x))=-1/3!*x^3-7/5!*x^5-47/7!*x^7+3369/9!*x^9...
cosh(arcsin(x)-tan(x))=1+10/6!*x^6+392/8!*x^8+11814/10!*x^10...A013404
cosh(arcsin(x)-tan(x))=1+10/6!*x^6+392/8!*x^8+11814/10!*x^10...
sec(arcsin(x)-tan(x))=1+10/6!*x^6+392/8!*x^8+11814/10!*x^10...A013405
sec(arcsin(x)-tan(x))=1+10/6!*x^6+392/8!*x^8+11814/10!*x^10...
sech(arcsin(x)-tan(x))=1-10/6!*x^6-392/8!*x^8-11814/10!*x^10...A013406
sech(arcsin(x)-tan(x))=1-10/6!*x^6-392/8!*x^8-11814/10!*x^10...
E.g.f.: exp(arcsin(x)-arctan(x))=1+3/3!*x^3-15/5!*x^5+90/6!*x^6+945/7!*x^7...A013407
E.g.f.: exp(arcsin(x)-arctan(x))=1+3/3!*x^3-15/5!*x^5+90/6!*x^6+945/7!*x^7...
arcsin(arcsin(x)-arctan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-21735/9!*x^9...A013408
arcsin(arcsin(x)-arctan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-21735/9!*x^9...
tan(arcsin(x)-arctan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-14175/9!*x^9...A013409
tan(arcsin(x)-arctan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-14175/9!*x^9...
Coefficient of x^(2n+1)/(2n+1)! in arctan(arcsin(x)-arctan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-44415/9!*x^9...A013410
Coefficient of x^(2n+1)/(2n+1)! in arctan(arcsin(x)-arctan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-44415/9!*x^9...