Sequences

392,541 sequences

arcsin(exp(x)-cos(x))=x+2/2!*x^2+2/3!*x^3+12/4!*x^4+80/5!*x^5...A013311
arcsin(exp(x)-cos(x))=x+2/2!*x^2+2/3!*x^3+12/4!*x^4+80/5!*x^5...
tan(exp(x)-cos(x)) = x + 2/2!*x^2 + 3/3!*x^3 + 24/4!*x^4 + 157/5!*x^5...A013312
tan(exp(x)-cos(x)) = x + 2/2!*x^2 + 3/3!*x^3 + 24/4!*x^4 + 157/5!*x^5...
arctan(exp(x)-cos(x))=x+2/2!*x^2-1/3!*x^3-24/4!*x^4-115/5!*x^5...A013313
arctan(exp(x)-cos(x))=x+2/2!*x^2-1/3!*x^3-24/4!*x^4-115/5!*x^5...
cos(exp(x)-cos(x))=1-1/2!*x^2-6/3!*x^3-15/4!*x^4+183/6!*x^6...A013314
cos(exp(x)-cos(x))=1-1/2!*x^2-6/3!*x^3-15/4!*x^4+183/6!*x^6...
Expansion of e.g.f.: sinh(exp(x)-cos(x))=x+2/2!*x^2+2/3!*x^3+12/4!*x^4+72/5!*x^5...A013315
Expansion of e.g.f.: sinh(exp(x)-cos(x))=x+2/2!*x^2+2/3!*x^3+12/4!*x^4+72/5!*x^5...
arcsinh(exp(x)-cos(x))=x+2/2!*x^2-12/4!*x^4-60/5!*x^5+32/6!*x^6...A013316
arcsinh(exp(x)-cos(x))=x+2/2!*x^2-12/4!*x^4-60/5!*x^5+32/6!*x^6...
Expansion of e.g.f.: tanh(exp(x) - cos(x)) = x + (2/2!)*x^2 - (1/3!)*x^3 - (24/4!)*x^4 - (123/5!)*x^5 + ...A013317
Expansion of e.g.f.: tanh(exp(x) - cos(x)) = x + (2/2!)*x^2 - (1/3!)*x^3 - (24/4!)*x^4 - (123/5!)*x^5 + ...
arctanh(exp(x)-cos(x))=x+2/2!*x^2+3/3!*x^3+24/4!*x^4+165/5!*x^5...A013318
arctanh(exp(x)-cos(x))=x+2/2!*x^2+3/3!*x^3+24/4!*x^4+165/5!*x^5...
E.g.f.: cosh(exp(x)-cos(x))=1+1/2!*x^2+6/3!*x^3+17/4!*x^4+40/5!*x^5...A013319
E.g.f.: cosh(exp(x)-cos(x))=1+1/2!*x^2+6/3!*x^3+17/4!*x^4+40/5!*x^5...
sec(exp(x)-cos(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+120/5!*x^5...A013320
sec(exp(x)-cos(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+120/5!*x^5...
E.g.f.: sech(exp(x)-cos(x)).A013321
E.g.f.: sech(exp(x)-cos(x)).
Golomb-type sequence over triangular numbers.A013322
Golomb-type sequence over triangular numbers.
Numerator of [x^n] in the Taylor series arccosh(exp(x)-arcsinh(x)).A013323
Numerator of [x^n] in the Taylor series arccosh(exp(x)-arcsinh(x)).
Numerator of [x^n] of the Taylor series arccosh(exp(x)-tanh(x)).A013324
Numerator of [x^n] of the Taylor series arccosh(exp(x)-tanh(x)).
Numerator of [x^n] in the Taylor series arccosh(exp(x)-arctanh(x))= x-x^2/6-x^3/72 -359*x^4/2160 -1681*x^5/51840 -52981*x^6/435456 -...A013325
Numerator of [x^n] in the Taylor series arccosh(exp(x)-arctanh(x))= x-x^2/6-x^3/72 -359*x^4/2160 -1681*x^5/51840 -52981*x^6/435456 -...
Expansion of -(2*x^3-x^2+x-1)/(x^4-3*x^3+3*x^2-3*x+1).A013326
Expansion of -(2*x^3-x^2+x-1)/(x^4-3*x^3+3*x^2-3*x+1).
Expansion of e.g.f.: exp(exp(x)-sec(x))=1+x+1/2!*x^2+2/3!*x^3+1/4!*x^4-8/5!*x^5...A013327
Expansion of e.g.f.: exp(exp(x)-sec(x))=1+x+1/2!*x^2+2/3!*x^3+1/4!*x^4-8/5!*x^5...
Expansion of e.g.f. sin(exp(x)-sec(x)).A013328
Expansion of e.g.f. sin(exp(x)-sec(x)).
Expansion of e.g.f. arcsin(exp(x) - sec(x)).A013329
Expansion of e.g.f. arcsin(exp(x) - sec(x)).
E.g.f.: tan(exp(x)-sec(x))=x+3/3!*x^3-4/4!*x^4+37/5!*x^5-180/6!*x^6...A013330
E.g.f.: tan(exp(x)-sec(x))=x+3/3!*x^3-4/4!*x^4+37/5!*x^5-180/6!*x^6...
Expansion of e.g.f. arctan(exp(x) - sec(x)).A013331
Expansion of e.g.f. arctan(exp(x) - sec(x)).
Expansion of e.g.f.: cos(exp(x)-sec(x))=1-1/2!*x^2-3/4!*x^4+20/5!*x^5+3/6!*x^6...A013332
Expansion of e.g.f.: cos(exp(x)-sec(x))=1-1/2!*x^2-3/4!*x^4+20/5!*x^5+3/6!*x^6...
sinh(exp(x)-sec(x)) = x + 2/3!*x^3 - 4/4!*x^4 + 12/5!*x^5 - 120/6!*x^6 + ...A013333
sinh(exp(x)-sec(x)) = x + 2/3!*x^3 - 4/4!*x^4 + 12/5!*x^5 - 120/6!*x^6 + ...
Expansion of e.g.f. arcsinh(exp(x) - sec(x)).A013334
Expansion of e.g.f. arcsinh(exp(x) - sec(x)).
Expansion of e.g.f. tanh(exp(x) - sec(x)).A013335
Expansion of e.g.f. tanh(exp(x) - sec(x)).
Expansion of e.g.f.: arctanh(exp(x)-sec(x)).A013336
Expansion of e.g.f.: arctanh(exp(x)-sec(x)).
E.g.f.: cosh(exp(x)-sec(x))=1+1/2!*x^2+5/4!*x^4-20/5!*x^5+37/6!*x^6...A013337
E.g.f.: cosh(exp(x)-sec(x))=1+1/2!*x^2+5/4!*x^4-20/5!*x^5+37/6!*x^6...
Expansion of e.g.f.: sec(exp(x)-sec(x))=1+1/2!*x^2+9/4!*x^4-20/5!*x^5+177/6!*x^6...A013338
Expansion of e.g.f.: sec(exp(x)-sec(x))=1+1/2!*x^2+9/4!*x^4-20/5!*x^5+177/6!*x^6...
sech(exp(x)-sec(x))=1-1/2!*x^2+1/4!*x^4+20/5!*x^5+23/6!*x^6...A013339
sech(exp(x)-sec(x))=1-1/2!*x^2+1/4!*x^4+20/5!*x^5+23/6!*x^6...
arctanh(exp(x)-sech(x))=x+2/2!*x^2+3/3!*x^3+20/4!*x^4+165/5!*x^5...A013340
arctanh(exp(x)-sech(x))=x+2/2!*x^2+3/3!*x^3+20/4!*x^4+165/5!*x^5...
E.g.f.: exp(sin(x)-log(x+1)).A013341
E.g.f.: exp(sin(x)-log(x+1)).
Expansion of e.g.f.: exp(sin(x)-arcsin(x))=1-2/3!*x^3-8/5!*x^5+40/6!*x^6-226/7!*x^7...A013342
Expansion of e.g.f.: exp(sin(x)-arcsin(x))=1-2/3!*x^3-8/5!*x^5+40/6!*x^6-226/7!*x^7...
-sin(sin(x)-arcsin(x))=2/3!*x^3+8/5!*x^5+226/7!*x^7+8784/9!*x^9...A013343
-sin(sin(x)-arcsin(x))=2/3!*x^3+8/5!*x^5+226/7!*x^7+8784/9!*x^9...
tan(arcsin(x)-sin(x)) = 2/3!*x^3+8/5!*x^5+226/7!*x^7+15504/9!*x^9...A013344
tan(arcsin(x)-sin(x)) = 2/3!*x^3+8/5!*x^5+226/7!*x^7+15504/9!*x^9...
-arctan(sin(x)-arcsin(x))=2/3!*x^3+8/5!*x^5+226/7!*x^7+6544/9!*x^9...A013345
-arctan(sin(x)-arcsin(x))=2/3!*x^3+8/5!*x^5+226/7!*x^7+6544/9!*x^9...
cos(sin(x)-arcsin(x))=1-40/6!*x^6-896/8!*x^8-62304/10!*x^10...A013346
cos(sin(x)-arcsin(x))=1-40/6!*x^6-896/8!*x^8-62304/10!*x^10...
-sinh(sin(x)-arcsin(x))=2/3!*x^3+8/5!*x^5+226/7!*x^7+13264/9!*x^9...A013347
-sinh(sin(x)-arcsin(x))=2/3!*x^3+8/5!*x^5+226/7!*x^7+13264/9!*x^9...
cosh(sin(x)-arcsin(x))=1+40/6!*x^6+896/8!*x^8+62304/10!*x^10...A013348
cosh(sin(x)-arcsin(x))=1+40/6!*x^6+896/8!*x^8+62304/10!*x^10...
sec(sin(x)-arcsin(x))=1+40/6!*x^6+896/8!*x^8+62304/10!*x^10...A013349
sec(sin(x)-arcsin(x))=1+40/6!*x^6+896/8!*x^8+62304/10!*x^10...
sech(sin(x)-arcsin(x))=1-40/6!*x^6-896/8!*x^8-62304/10!*x^10...A013350
sech(sin(x)-arcsin(x))=1-40/6!*x^6-896/8!*x^8-62304/10!*x^10...
Expansion of e.g.f.: exp(sin(x)-tan(x))=1-3/3!*x^3-15/5!*x^5+90/6!*x^6-273/7!*x^7...A013351
Expansion of e.g.f.: exp(sin(x)-tan(x))=1-3/3!*x^3-15/5!*x^5+90/6!*x^6-273/7!*x^7...
sin(sin(x)-tan(x))=-3/3!*x^3-15/5!*x^5-273/7!*x^7-375/9!*x^9...A013352
sin(sin(x)-tan(x))=-3/3!*x^3-15/5!*x^5-273/7!*x^7-375/9!*x^9...
tan(tan(x)-sin(x)) = 3/3!*x^3 + 15/5!*x^5 + 273/7!*x^7 + 23055/9!*x^9...A013353
tan(tan(x)-sin(x)) = 3/3!*x^3 + 15/5!*x^5 + 273/7!*x^7 + 23055/9!*x^9...
arctan(sin(x)-tan(x))=-3/3!*x^3-15/5!*x^5-273/7!*x^7+7185/9!*x^9...A013354
arctan(sin(x)-tan(x))=-3/3!*x^3-15/5!*x^5-273/7!*x^7+7185/9!*x^9...
cos(sin(x)-tan(x))=1-90/6!*x^6-2520/8!*x^8-126630/10!*x^10...A013355
cos(sin(x)-tan(x))=1-90/6!*x^6-2520/8!*x^8-126630/10!*x^10...
sinh(sin(x)-tan(x))=-3/3!*x^3-15/5!*x^5-273/7!*x^7-15495/9!*x^9...A013356
sinh(sin(x)-tan(x))=-3/3!*x^3-15/5!*x^5-273/7!*x^7-15495/9!*x^9...
cosh(sin(x)-tan(x))=1+90/6!*x^6+2520/8!*x^8+126630/10!*x^10...A013357
cosh(sin(x)-tan(x))=1+90/6!*x^6+2520/8!*x^8+126630/10!*x^10...
sec(sin(x)-tan(x))=1+90/6!*x^6+2520/8!*x^8+126630/10!*x^10...A013358
sec(sin(x)-tan(x))=1+90/6!*x^6+2520/8!*x^8+126630/10!*x^10...
sech(sin(x)-tan(x))=1-90/6!*x^6-2520/8!*x^8-126630/10!*x^10...A013359
sech(sin(x)-tan(x))=1-90/6!*x^6-2520/8!*x^8-126630/10!*x^10...
Expansion of e.g.f.: exp(sin(x)-arctan(x))=1+1/3!*x^3-23/5!*x^5+10/6!*x^6+719/7!*x^7...A013360
Expansion of e.g.f.: exp(sin(x)-arctan(x))=1+1/3!*x^3-23/5!*x^5+10/6!*x^6+719/7!*x^7...