Sequences

392,541 sequences

cos(arcsin(x)-arctan(x))=1-90/6!*x^6+2520/8!*x^8-368550/10!*x^10...A013411
cos(arcsin(x)-arctan(x))=1-90/6!*x^6+2520/8!*x^8-368550/10!*x^10...
arcsinh(arcsin(x)-arctan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-36855/9!*x^9...A013412
arcsinh(arcsin(x)-arctan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-36855/9!*x^9...
cosh(arcsin(x)-arctan(x))=1+90/6!*x^6-2520/8!*x^8+368550/10!*x^10...A013413
cosh(arcsin(x)-arctan(x))=1+90/6!*x^6-2520/8!*x^8+368550/10!*x^10...
sec(arcsin(x)-arctan(x))=1+90/6!*x^6-2520/8!*x^8+368550/10!*x^10...A013414
sec(arcsin(x)-arctan(x))=1+90/6!*x^6-2520/8!*x^8+368550/10!*x^10...
sech(arcsin(x)-arctan(x))=1-90/6!*x^6+2520/8!*x^8-368550/10!*x^10...A013415
sech(arcsin(x)-arctan(x))=1-90/6!*x^6+2520/8!*x^8-368550/10!*x^10...
Expansion of e.g.f.: exp(arcsin(x)-arcsinh(x))=1+2/3!*x^3+40/6!*x^6+450/7!*x^7+2240/9!*x^9...A013416
Expansion of e.g.f.: exp(arcsin(x)-arcsinh(x))=1+2/3!*x^3+40/6!*x^6+450/7!*x^7+2240/9!*x^9...
arcsin(arcsin(x)-arcsinh(x))=2/3!*x^3+450/7!*x^7+2240/9!*x^9...A013417
arcsin(arcsin(x)-arcsinh(x))=2/3!*x^3+450/7!*x^7+2240/9!*x^9...
tan(arcsin(x)-arcsinh(x)) = 2/3!*x^3+450/7!*x^7+4480/9!*x^9...A013418
tan(arcsin(x)-arcsinh(x)) = 2/3!*x^3+450/7!*x^7+4480/9!*x^9...
E.g.f.: cos(arcsin(x)-arcsinh(x))=1-40/6!*x^6-108000/10!*x^10+246400/12!*x^12...A013419
E.g.f.: cos(arcsin(x)-arcsinh(x))=1-40/6!*x^6-108000/10!*x^10+246400/12!*x^12...
sec(arcsin(x)-arcsinh(x))=1+40/6!*x^6+108000/10!*x^10+1232000/12!*x^12...A013420
sec(arcsin(x)-arcsinh(x))=1+40/6!*x^6+108000/10!*x^10+1232000/12!*x^12...
exp(arcsin(x)-tanh(x))=1+3/3!*x^3-7/5!*x^5+90/6!*x^6+497/7!*x^7...A013421
exp(arcsin(x)-tanh(x))=1+3/3!*x^3-7/5!*x^5+90/6!*x^6+497/7!*x^7...
E.g.f.: arcsin(arcsin(x)-tanh(x)) (odd coefficients only).A013422
E.g.f.: arcsin(arcsin(x)-tanh(x)) (odd coefficients only).
tan(arcsin(x)-tanh(x))=3/3!*x^3-7/5!*x^5+497/7!*x^7+18209/9!*x^9...A013423
tan(arcsin(x)-tanh(x))=3/3!*x^3-7/5!*x^5+497/7!*x^7+18209/9!*x^9...
arctan(arcsin(x)-tanh(x))=3/3!*x^3-7/5!*x^5+497/7!*x^7-12031/9!*x^9...A013424
arctan(arcsin(x)-tanh(x))=3/3!*x^3-7/5!*x^5+497/7!*x^7-12031/9!*x^9...
cos(arcsin(x)-tanh(x))=1-90/6!*x^6+1176/8!*x^8-185094/10!*x^10...A013425
cos(arcsin(x)-tanh(x))=1-90/6!*x^6+1176/8!*x^8-185094/10!*x^10...
arcsinh(arcsin(x)-tanh(x))=3/3!*x^3-7/5!*x^5+497/7!*x^7-4471/9!*x^9...A013426
arcsinh(arcsin(x)-tanh(x))=3/3!*x^3-7/5!*x^5+497/7!*x^7-4471/9!*x^9...
cosh(arcsin(x)-tanh(x))=1+90/6!*x^6-1176/8!*x^8+185094/10!*x^10...A013427
cosh(arcsin(x)-tanh(x))=1+90/6!*x^6-1176/8!*x^8+185094/10!*x^10...
sec(arcsin(x)-tanh(x))=1+90/6!*x^6-1176/8!*x^8+185094/10!*x^10...A013428
sec(arcsin(x)-tanh(x))=1+90/6!*x^6-1176/8!*x^8+185094/10!*x^10...
sech(arcsin(x)-tanh(x))=1-90/6!*x^6+1176/8!*x^8-185094/10!*x^10...A013429
sech(arcsin(x)-tanh(x))=1-90/6!*x^6+1176/8!*x^8-185094/10!*x^10...
Expansion of e.g.f. exp(arcsin(x)-arctanh(x)).A013430
Expansion of e.g.f. exp(arcsin(x)-arctanh(x)).
E.g.f.: -arcsin(arcsin(x) - arctanh(x)) (odd powers only).A013431
E.g.f.: -arcsin(arcsin(x) - arctanh(x)) (odd powers only).
tan(arctanh(x)-arcsin(x)) = 1/3!*x^3 + 15/5!*x^5 + 495/7!*x^7 + 29855/9!*x^9...A013432
tan(arctanh(x)-arcsin(x)) = 1/3!*x^3 + 15/5!*x^5 + 495/7!*x^7 + 29855/9!*x^9...
-arctan(arcsin(x)-arctanh(x))=1/3!*x^3+15/5!*x^5+495/7!*x^7+28735/9!*x^9...A013433
-arctan(arcsin(x)-arctanh(x))=1/3!*x^3+15/5!*x^5+495/7!*x^7+28735/9!*x^9...
cos(arcsin(x)-arctanh(x))=1-10/6!*x^6-840/8!*x^8-87750/10!*x^10...A013434
cos(arcsin(x)-arctanh(x))=1-10/6!*x^6-840/8!*x^8-87750/10!*x^10...
E.g.f.: arcsinh(arctanh(x) - arcsin(x)) (odd powers only).A013435
E.g.f.: arcsinh(arctanh(x) - arcsin(x)) (odd powers only).
cosh(arcsin(x)-arctanh(x))=1+10/6!*x^6+840/8!*x^8+87750/10!*x^10...A013436
cosh(arcsin(x)-arctanh(x))=1+10/6!*x^6+840/8!*x^8+87750/10!*x^10...
sec(arcsin(x)-arctanh(x))=1+10/6!*x^6+840/8!*x^8+87750/10!*x^10...A013437
sec(arcsin(x)-arctanh(x))=1+10/6!*x^6+840/8!*x^8+87750/10!*x^10...
sech(arcsin(x)-arctanh(x))=1-10/6!*x^6-840/8!*x^8-87750/10!*x^10...A013438
sech(arcsin(x)-arctanh(x))=1-10/6!*x^6-840/8!*x^8-87750/10!*x^10...
Expansion of e.g.f.: exp(tan(x)-log(x+1))=1+1/2!*x^2+9/4!*x^4-8/5!*x^5+225/6!*x^6...A013439
Expansion of e.g.f.: exp(tan(x)-log(x+1))=1+1/2!*x^2+9/4!*x^4-8/5!*x^5+225/6!*x^6...
Expansion of e.g.f.: exp(tan(x)-arctan(x))=1+4/3!*x^3-8/5!*x^5+160/6!*x^6+992/7!*x^7...A013440
Expansion of e.g.f.: exp(tan(x)-arctan(x))=1+4/3!*x^3-8/5!*x^5+160/6!*x^6+992/7!*x^7...
sin(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7-50304/9!*x^9...A013441
sin(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7-50304/9!*x^9...
arcsin(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7-14464/9!*x^9...A013442
arcsin(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7-14464/9!*x^9...
tan(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7+3456/9!*x^9...A013443
tan(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7+3456/9!*x^9...
cos(tan(x)-arctan(x))=1-160/6!*x^6+1792/8!*x^8-484224/10!*x^10...A013444
cos(tan(x)-arctan(x))=1-160/6!*x^6+1792/8!*x^8-484224/10!*x^10...
tanh(tan(x)-arctan(x)) = 4/3!*x^3 - 8/5!*x^5 + 992/7!*x^7 - 68224/9!*x^9 + ...A013445
tanh(tan(x)-arctan(x)) = 4/3!*x^3 - 8/5!*x^5 + 992/7!*x^7 - 68224/9!*x^9 + ...
cosh(tan(x)-arctan(x))=1+160/6!*x^6-1792/8!*x^8+484224/10!*x^10...A013446
cosh(tan(x)-arctan(x))=1+160/6!*x^6-1792/8!*x^8+484224/10!*x^10...
sec(tan(x)-arctan(x))=1+160/6!*x^6-1792/8!*x^8+484224/10!*x^10...A013447
sec(tan(x)-arctan(x))=1+160/6!*x^6-1792/8!*x^8+484224/10!*x^10...
sech(tan(x)-arctan(x))=1-160/6!*x^6+1792/8!*x^8-484224/10!*x^10...A013448
sech(tan(x)-arctan(x))=1-160/6!*x^6+1792/8!*x^8-484224/10!*x^10...
exp(tan(x)-sinh(x))=1+1/3!*x^3+15/5!*x^5+10/6!*x^6+271/7!*x^7...A013449
exp(tan(x)-sinh(x))=1+1/3!*x^3+15/5!*x^5+10/6!*x^6+271/7!*x^7...
exp(tan(x)-arcsinh(x)) = 1+3/3!*x^3+7/5!*x^5+90/6!*x^6+497/7!*x^7...A013450
exp(tan(x)-arcsinh(x)) = 1+3/3!*x^3+7/5!*x^5+90/6!*x^6+497/7!*x^7...
E.g.f.: exp(tan(x)-tanh(x))=1+4/3!*x^3+160/6!*x^6+544/7!*x^7+17920/9!*x^9...A013451
E.g.f.: exp(tan(x)-tanh(x))=1+4/3!*x^3+160/6!*x^6+544/7!*x^7+17920/9!*x^9...
sin(tan(x)-tanh(x))=4/3!*x^3+544/7!*x^7-17920/9!*x^9+707584/11!*x^11...A013452
sin(tan(x)-tanh(x))=4/3!*x^3+544/7!*x^7-17920/9!*x^9+707584/11!*x^11...
tan(tan(x)-tanh(x))=4/3!*x^3+544/7!*x^7+35840/9!*x^9+707584/11!*x^11...A013453
tan(tan(x)-tanh(x))=4/3!*x^3+544/7!*x^7+35840/9!*x^9+707584/11!*x^11...
cos(tan(x)-tanh(x))=1-160/6!*x^6-261120/10!*x^10+3942400/12!*x^12...A013454
cos(tan(x)-tanh(x))=1-160/6!*x^6-261120/10!*x^10+3942400/12!*x^12...
Expansion of e.g.f. sec(tan(x) - tanh(x)) (even-indexed coefficients only).A013455
Expansion of e.g.f. sec(tan(x) - tanh(x)) (even-indexed coefficients only).
Expansion of e.g.f.: exp(tan(x)-arctanh(x))=1-8/5!*x^5-448/7!*x^7-32384/9!*x^9+8064/10!*x^10...A013456
Expansion of e.g.f.: exp(tan(x)-arctanh(x))=1-8/5!*x^5-448/7!*x^7-32384/9!*x^9+8064/10!*x^10...
sin(tan(x)-arctanh(x))=-8/5!*x^5-448/7!*x^7-32384/9!*x^9...A013457
sin(tan(x)-arctanh(x))=-8/5!*x^5-448/7!*x^7-32384/9!*x^9...
cos(tan(x)-arctanh(x))=1-8064/10!*x^10-2838528/12!*x^12...A013458
cos(tan(x)-arctanh(x))=1-8064/10!*x^10-2838528/12!*x^12...
Expansion of e.g.f. exp(arctan(x) - log(x+1)).A013459
Expansion of e.g.f. exp(arctan(x) - log(x+1)).
exp(arctan(x)-sinh(x))=1-3/3!*x^3+23/5!*x^5+90/6!*x^6-721/7!*x^7...A013460
exp(arctan(x)-sinh(x))=1-3/3!*x^3+23/5!*x^5+90/6!*x^6-721/7!*x^7...