Sequences

392,541 sequences

Expansion of e.g.f. arcsin(tan(x) * exp(x)).A012361
Expansion of e.g.f. arcsin(tan(x) * exp(x)).
arcsinh(tan(x)*exp(x)) = x+2/2!*x^2+4/3!*x^3-60/5!*x^5-488/6!*x^6...A012362
arcsinh(tan(x)*exp(x)) = x+2/2!*x^2+4/3!*x^3-60/5!*x^5-488/6!*x^6...
arctanh(tan(x)*exp(x))=x+2/2!*x^2+7/3!*x^3+36/4!*x^4+285/5!*x^5...A012363
arctanh(tan(x)*exp(x))=x+2/2!*x^2+7/3!*x^3+36/4!*x^4+285/5!*x^5...
E.g.f.: sec(tan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+37/4!*x^4+260/5!*x^5...A012364
E.g.f.: sec(tan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+37/4!*x^4+260/5!*x^5...
Expansion of e.g.f.: sech(tan(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-27/4!*x^4-60/5!*x^5...A012365
Expansion of e.g.f.: sech(tan(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-27/4!*x^4-60/5!*x^5...
Duplicate of A009513.A012366
Duplicate of A009513.
arcsin(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+182/6!*x^6+4744/8!*x^8...A012367
arcsin(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+182/6!*x^6+4744/8!*x^8...
Duplicate of A009705.A012368
Duplicate of A009705.
Duplicate of A009609.A012369
Duplicate of A009609.
arcsinh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4-58/6!*x^6-1976/8!*x^8...A012370
arcsinh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4-58/6!*x^6-1976/8!*x^8...
Duplicate of A009815.A012371
Duplicate of A009815.
arctanh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+302/6!*x^6+8104/8!*x^8...A012372
arctanh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+302/6!*x^6+8104/8!*x^8...
sec(tan(x)*sin(x))=1+12/4!*x^4+120/6!*x^6+12432/8!*x^8...A012373
sec(tan(x)*sin(x))=1+12/4!*x^4+120/6!*x^6+12432/8!*x^8...
sech(tan(x)*sin(x))=1-12/4!*x^4-120/6!*x^6+4368/8!*x^8...A012374
sech(tan(x)*sin(x))=1-12/4!*x^4-120/6!*x^6+4368/8!*x^8...
exp(tan(x)*arcsin(x))=1+2/2!*x^2+24/4!*x^4+670/6!*x^6+33320/8!*x^8...A012375
exp(tan(x)*arcsin(x))=1+2/2!*x^2+24/4!*x^4+670/6!*x^6+33320/8!*x^8...
sin(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+70/6!*x^6-4200/8!*x^8...A012376
sin(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+70/6!*x^6-4200/8!*x^8...
arcsin(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+310/6!*x^6+15960/8!*x^8...A012377
arcsin(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+310/6!*x^6+15960/8!*x^8...
tan(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+430/6!*x^6+26040/8!*x^8...A012378
tan(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+430/6!*x^6+26040/8!*x^8...
Expansion of e.g.f. cos(tan(x)*arcsin(x)) (even powers only).A012379
Expansion of e.g.f. cos(tan(x)*arcsin(x)) (even powers only).
sinh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+310/6!*x^6+15960/8!*x^8...A012380
sinh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+310/6!*x^6+15960/8!*x^8...
arcsinh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+70/6!*x^6-4200/8!*x^8...A012381
arcsinh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+70/6!*x^6-4200/8!*x^8...
tanh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4-50/6!*x^6-14280/8!*x^8...A012382
tanh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4-50/6!*x^6-14280/8!*x^8...
arctanh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+430/6!*x^6+26040/8!*x^8...A012383
arctanh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+430/6!*x^6+26040/8!*x^8...
Expansion of e.g.f. cosh(tan(x)*arcsin(x)) (only even powers).A012384
Expansion of e.g.f. cosh(tan(x)*arcsin(x)) (only even powers).
Expansion of e.g.f. sec(tan(x)*arcsin(x)) (only even powers).A012385
Expansion of e.g.f. sec(tan(x)*arcsin(x)) (only even powers).
Expansion of e.g.f. sech(tan(x)*arcsin(x)) (only even powers).A012386
Expansion of e.g.f. sech(tan(x)*arcsin(x)) (only even powers).
Duplicate of A009518.A012387
Duplicate of A009518.
arcsin(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+392/6!*x^6+21376/8!*x^8...A012388
arcsin(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+392/6!*x^6+21376/8!*x^8...
Duplicate of A009710.A012389
Duplicate of A009710.
Duplicate of A009613.A012390
Duplicate of A009613.
arcsinh(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+152/6!*x^6-5504/8!*x^8...A012391
arcsinh(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+152/6!*x^6-5504/8!*x^8...
Duplicate of A009819.A012392
Duplicate of A009819.
E.g.f. arctanh(tan(x)*tan(x)) (even powers only).A012393
E.g.f. arctanh(tan(x)*tan(x)) (even powers only).
sec(tan(x)*tan(x))=1+12/4!*x^4+480/6!*x^6+32592/8!*x^8...A012394
sec(tan(x)*tan(x))=1+12/4!*x^4+480/6!*x^6+32592/8!*x^8...
sech(tan(x)*tan(x))=1-12/4!*x^4-480/6!*x^6-15792/8!*x^8...A012395
sech(tan(x)*tan(x))=1-12/4!*x^4-480/6!*x^6-15792/8!*x^8...
Expansion of e.g.f. exp(arctan(x)*log(x+1)).A012396
Expansion of e.g.f. exp(arctan(x)*log(x+1)).
Expansion of e.g.f. sin(arctan(x) * log(x+1)).A012397
Expansion of e.g.f. sin(arctan(x) * log(x+1)).
Expansion of e.g.f. arcsin(arctan(x) * log(x+1)).A012398
Expansion of e.g.f. arcsin(arctan(x) * log(x+1)).
arctan(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5-32/6!*x^6...A012399
arctan(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5-32/6!*x^6...
Expansion of e.g.f.: cos(arctan(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-90/6!*x^6+420/7!*x^7...A012400
Expansion of e.g.f.: cos(arctan(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-90/6!*x^6+420/7!*x^7...
Expansion of e.g.f.: sinh(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+328/6!*x^6...A012401
Expansion of e.g.f.: sinh(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+328/6!*x^6...
arcsinh(arctan(x)*log(x+1)) = 2/2!*x^2 - 3/3!*x^3 - 10/5!*x^5 + 88/6!*x^6 - ...A012402
arcsinh(arctan(x)*log(x+1)) = 2/2!*x^2 - 3/3!*x^3 - 10/5!*x^5 + 88/6!*x^6 - ...
E.g.f. tanh(arctan(x)*log(x+1)).A012403
E.g.f. tanh(arctan(x)*log(x+1)).
arctanh(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+448/6!*x^6...A012404
arctanh(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+448/6!*x^6...
Expansion of e.g.f.: cosh(arctan(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+90/6!*x^6-420/7!*x^7...A012405
Expansion of e.g.f.: cosh(arctan(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+90/6!*x^6-420/7!*x^7...
Expansion of e.g.f.: sec(arctan(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+90/6!*x^6-420/7!*x^7...A012406
Expansion of e.g.f.: sec(arctan(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+90/6!*x^6-420/7!*x^7...
sech(arctan(x)*log(x+1)) = 1 - 12/4!*x^4 + 60/5!*x^5 - 90/6!*x^6 + 420/7!*x^7...A012407
sech(arctan(x)*log(x+1)) = 1 - 12/4!*x^4 + 60/5!*x^5 - 90/6!*x^6 + 420/7!*x^7...
exp(arctan(x)*exp(x))=1+x+3/2!*x^2+8/3!*x^3+25/4!*x^4+100/5!*x^5...A012408
exp(arctan(x)*exp(x))=1+x+3/2!*x^2+8/3!*x^3+25/4!*x^4+100/5!*x^5...
E.g.f. sin(arctan(x)*exp(x)).A012409
E.g.f. sin(arctan(x)*exp(x)).
Expansion of e.g.f. arcsin(arctan(x) * exp(x)).A012410
Expansion of e.g.f. arcsin(arctan(x) * exp(x)).