Sequences

392,541 sequences

Expansion of e.g.f. arctan(log(x+1) - sinh(x)).A013261
Expansion of e.g.f. arctan(log(x+1) - sinh(x)).
E.g.f.: cos(log(x+1)-sinh(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+693/7!*x^7...A013262
E.g.f.: cos(log(x+1)-sinh(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+693/7!*x^7...
Expansion of e.g.f. sinh(log(x+1) - sinh(x)).A013263
Expansion of e.g.f. sinh(log(x+1) - sinh(x)).
arcsinh(log(x+1)-sinh(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+23/5!*x^5...A013264
arcsinh(log(x+1)-sinh(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+23/5!*x^5...
Expansion of e.g.f. tanh(log(x+1) - sinh(x)).A013265
Expansion of e.g.f. tanh(log(x+1) - sinh(x)).
E.g.f.: arctanh(log(x+1)-sinh(x)) = -1/2!*x^2 + 1/3!*x^3 - 6/4!*x^4 + 23/5!*x^5 - ...A013266
E.g.f.: arctanh(log(x+1)-sinh(x)) = -1/2!*x^2 + 1/3!*x^3 - 6/4!*x^4 + 23/5!*x^5 - ...
cosh(log(x+1)-sinh(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-693/7!*x^7...A013267
cosh(log(x+1)-sinh(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-693/7!*x^7...
sec(log(x+1)-sinh(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-693/7!*x^7...A013268
sec(log(x+1)-sinh(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-693/7!*x^7...
E.g.f.: sech(log(x+1)-sinh(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+693/7!*x^7...A013269
E.g.f.: sech(log(x+1)-sinh(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+693/7!*x^7...
Expansion of e.g.f. sin(log(x+1) - arcsinh(x)).A013270
Expansion of e.g.f. sin(log(x+1) - arcsinh(x)).
Expansion of e.g.f. arcsin(log(x+1) - arcsinh(x)).A013271
Expansion of e.g.f. arcsin(log(x+1) - arcsinh(x)).
tan(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5...A013272
tan(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5...
Expansion of e.g.f. arctan(log(x+1) - arcsinh(x)).A013273
Expansion of e.g.f. arctan(log(x+1) - arcsinh(x)).
E.g.f.: cos(log(x+1)-arcsinh(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+945/7!*x^7...A013274
E.g.f.: cos(log(x+1)-arcsinh(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+945/7!*x^7...
E.g.f. sinh(log(x+1) - arcsinh(x)) = -1/2!*x^2 + 3/3!*x^3 - 6/4!*x^4 + 15/5!*x^5 + ...A013275
E.g.f. sinh(log(x+1) - arcsinh(x)) = -1/2!*x^2 + 3/3!*x^3 - 6/4!*x^4 + 15/5!*x^5 + ...
Expansion of e.g.f. arcsinh(log(x+1) - arcsinh(x)).A013276
Expansion of e.g.f. arcsinh(log(x+1) - arcsinh(x)).
tanh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5...A013277
tanh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5...
arctanh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5...A013278
arctanh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5...
cosh(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7...A013279
cosh(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7...
sec(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7...A013280
sec(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7...
Expansion of e.g.f.: sech(log(x+1)-arcsinh(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+945/7!*x^7...A013281
Expansion of e.g.f.: sech(log(x+1)-arcsinh(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+945/7!*x^7...
Expansion of e.g.f.: sin(log(x+1) - tanh(x)).A013282
Expansion of e.g.f.: sin(log(x+1) - tanh(x)).
Expansion of e.g.f. arcsin(log(x+1) - tanh(x)).A013283
Expansion of e.g.f. arcsin(log(x+1) - tanh(x)).
tan(log(x+1)-tanh(x)) = -1/2!*x^2+4/3!*x^3-6/4!*x^4+8/5!*x^5... .A013284
tan(log(x+1)-tanh(x)) = -1/2!*x^2+4/3!*x^3-6/4!*x^4+8/5!*x^5... .
Expansion of e.g.f.: arctan(log(x+1)-tanh(x)).A013285
Expansion of e.g.f.: arctan(log(x+1)-tanh(x)).
cos(log(x+1)-tanh(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+1008/7!*x^7...A013286
cos(log(x+1)-tanh(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+1008/7!*x^7...
Expansion of e.g.f. sinh(log(x+1) - tanh(x)).A013287
Expansion of e.g.f. sinh(log(x+1) - tanh(x)).
Expansion of e.g.f. arcsinh(log(x+1) - tanh(x)).A013288
Expansion of e.g.f. arcsinh(log(x+1) - tanh(x)).
Expansion of e.g.f. tanh(log(x+1) - tanh(x)).A013289
Expansion of e.g.f. tanh(log(x+1) - tanh(x)).
Expansion of e.g.f. arctanh(log(x+1) - tanh(x)).A013290
Expansion of e.g.f. arctanh(log(x+1) - tanh(x)).
Expansion of e.g.f.: cosh(log(x+1)-tanh(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-1008/7!*x^7...A013291
Expansion of e.g.f.: cosh(log(x+1)-tanh(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-1008/7!*x^7...
Expansion of e.g.f.: sec(log(x+1)-tanh(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-1008/7!*x^7...A013292
Expansion of e.g.f.: sec(log(x+1)-tanh(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-1008/7!*x^7...
E.g.f.: sech(log(x+1)-tanh(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+1008/7!*x^7...A013293
E.g.f.: sech(log(x+1)-tanh(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+1008/7!*x^7...
sin(log(x+1)-arctanh(x))=-1/2!*x^2-6/4!*x^4-105/6!*x^6-3780/8!*x^8...A013294
sin(log(x+1)-arctanh(x))=-1/2!*x^2-6/4!*x^4-105/6!*x^6-3780/8!*x^8...
E.g.f.: -arcsin(log(x+1)-arctanh(x)) (even powers only).A013295
E.g.f.: -arcsin(log(x+1)-arctanh(x)) (even powers only).
tan(arctanh(x)-log(x+1)) = 1/2!*x^2 + 6/4!*x^4 + 150/6!*x^6 + 7560/8!*x^8...A013296
tan(arctanh(x)-log(x+1)) = 1/2!*x^2 + 6/4!*x^4 + 150/6!*x^6 + 7560/8!*x^8...
-arctan(log(x+1)-arctanh(x))=1/2!*x^2+6/4!*x^4+90/6!*x^6+2520/8!*x^8...A013297
-arctan(log(x+1)-arctanh(x))=1/2!*x^2+6/4!*x^4+90/6!*x^6+2520/8!*x^8...
cos(log(x+1)-arctanh(x))=1-3/4!*x^4-90/6!*x^6-4515/8!*x^8...A013298
cos(log(x+1)-arctanh(x))=1-3/4!*x^4-90/6!*x^6-4515/8!*x^8...
-sinh(log(x+1)-arctanh(x)) = 1/2!*x^2 + 6/4!*x^4 + 135/6!*x^6 + 6300/8!*x^8 + ...A013299
-sinh(log(x+1)-arctanh(x)) = 1/2!*x^2 + 6/4!*x^4 + 135/6!*x^6 + 6300/8!*x^8 + ...
-arcsinh(log(x+1)-arctanh(x))=1/2!*x^2+6/4!*x^4+105/6!*x^6+3780/8!*x^8...A013300
-arcsinh(log(x+1)-arctanh(x))=1/2!*x^2+6/4!*x^4+105/6!*x^6+3780/8!*x^8...
E.g.f.: arctanh(arctanh(x)-log(x+1)).A013301
E.g.f.: arctanh(arctanh(x)-log(x+1)).
E.g.f.: cosh(log(x+1)-arctanh(x)) (even powers only).A013302
E.g.f.: cosh(log(x+1)-arctanh(x)) (even powers only).
sec(log(x+1)-arctanh(x))=1+3/4!*x^4+90/6!*x^6+5145/8!*x^8...A013303
sec(log(x+1)-arctanh(x))=1+3/4!*x^4+90/6!*x^6+5145/8!*x^8...
sech(log(x+1)-arctanh(x))=1-3/4!*x^4-90/6!*x^6-4095/8!*x^8...A013304
sech(log(x+1)-arctanh(x))=1-3/4!*x^4-90/6!*x^6-4095/8!*x^8...
Numerators of coefficients in Taylor series expansion of arccosh(exp(x)-sin(x)).A013305
Numerators of coefficients in Taylor series expansion of arccosh(exp(x)-sin(x)).
Numerator of [x^n] of the Taylor series arccosh(exp(x) - arcsin(x)).A013306
Numerator of [x^n] of the Taylor series arccosh(exp(x) - arcsin(x)).
Numerator of [x^n] in the Taylor series arccosh(exp(x) - tan(x)) = x - x^2/6 - x^3/72 - 43*x^4/432 - 221*x^5/10368 - 89513*x^6/2177280 - ...A013307
Numerator of [x^n] in the Taylor series arccosh(exp(x) - tan(x)) = x - x^2/6 - x^3/72 - 43*x^4/432 - 221*x^5/10368 - 89513*x^6/2177280 - ...
Numerator of [x^n] of the Taylor series arccosh(exp(x)-arctan(x)).A013308
Numerator of [x^n] of the Taylor series arccosh(exp(x)-arctan(x)).
Expansion of e.g.f.: exp(exp(x)-cos(x))=1+x+3/2!*x^2+8/3!*x^3+29/4!*x^4+112/5!*x^5...A013309
Expansion of e.g.f.: exp(exp(x)-cos(x))=1+x+3/2!*x^2+8/3!*x^3+29/4!*x^4+112/5!*x^5...
sin(exp(x)-cos(x))=x+2/2!*x^2-12/4!*x^4-68/5!*x^5-208/6!*x^6...A013310
sin(exp(x)-cos(x))=x+2/2!*x^2-12/4!*x^4-68/5!*x^5-208/6!*x^6...