Sequences

392,541 sequences

Expansion of e.g.f. exp(arctanh(sinh(x))).A012261
Expansion of e.g.f. exp(arctanh(sinh(x))).
Expansion of e.g.f. exp(arctanh(arcsinh(x))).A012262
Expansion of e.g.f. exp(arctanh(arcsinh(x))).
Expansion of e.g.f. exp(arctanh(arctanh(x))).A012263
Expansion of e.g.f. exp(arctanh(arctanh(x))).
Number of real roots of x - x^3/3! + x^5/5! - ... + (-1)^n*x^(2n+1)/(2n+1)!.A012264
Number of real roots of x - x^3/3! + x^5/5! - ... + (-1)^n*x^(2n+1)/(2n+1)!.
x - x^3/3! + x^5/5! - ... + (-1)^n*x^(2n+1)/(2n+1)! has 2a(n)+1 real roots.A012265
x - x^3/3! + x^5/5! - ... + (-1)^n*x^(2n+1)/(2n+1)! has 2a(n)+1 real roots.
Duplicate of A009468.A012266
Duplicate of A009468.
Expansion of e.g.f. arcsin(log(x+1)^2).A012267
Expansion of e.g.f. arcsin(log(x+1)^2).
Duplicate of A009655.A012268
Duplicate of A009655.
Expansion of e.g.f.: arctan(log(x+1)*log(x+1)).A012269
Expansion of e.g.f.: arctan(log(x+1)*log(x+1)).
Duplicate of A009585.A012270
Duplicate of A009585.
Expansion of e.g.f. arcsinh(log(x+1)*log(x+1)).A012271
Expansion of e.g.f. arcsinh(log(x+1)*log(x+1)).
Duplicate of A009789.A012272
Duplicate of A009789.
Expansion of e.g.f.: sec(log(x+1)*log(x+1)) = 1 + (12/4!)*x^4 - (120/5!)*x^5 + (1020/6!)*x^6 ...A012273
Expansion of e.g.f.: sec(log(x+1)*log(x+1)) = 1 + (12/4!)*x^4 - (120/5!)*x^5 + (1020/6!)*x^6 ...
Expansion of e.g.f.: sech(log(x+1)*log(x+1)).A012274
Expansion of e.g.f.: sech(log(x+1)*log(x+1)).
Expansion of e.g.f. arcsin(exp(x)*log(x+1)).A012275
Expansion of e.g.f. arcsin(exp(x)*log(x+1)).
Expansion of e.g.f. arctan(exp(x)*log(x+1)).A012276
Expansion of e.g.f. arctan(exp(x)*log(x+1)).
Expansion of e.g.f. arcsinh(exp(x)*log(x+1)).A012277
Expansion of e.g.f. arcsinh(exp(x)*log(x+1)).
Expansion of e.g.f. arctanh(exp(x)*log(x+1)).A012278
Expansion of e.g.f. arctanh(exp(x)*log(x+1)).
Expansion of e.g.f. sec(exp(x)*log(x+1)).A012279
Expansion of e.g.f. sec(exp(x)*log(x+1)).
Expansion of e.g.f.: sech(exp(x)*log(x+1)).A012280
Expansion of e.g.f.: sech(exp(x)*log(x+1)).
Expansion of e.g.f. sin(sin(x) * log(x+1)).A012281
Expansion of e.g.f. sin(sin(x) * log(x+1)).
Expansion of e.g.f.: tan(sin(x)*log(x+1)).A012282
Expansion of e.g.f.: tan(sin(x)*log(x+1)).
Expansion of e.g.f. arctan(sin(x)*log(x+1)).A012283
Expansion of e.g.f. arctan(sin(x)*log(x+1)).
Expansion of e.g.f. sinh(sin(x)*log(x+1)).A012284
Expansion of e.g.f. sinh(sin(x)*log(x+1)).
Expansion of e.g.f. arcsinh(sin(x)*log(x+1)).A012285
Expansion of e.g.f. arcsinh(sin(x)*log(x+1)).
Expansion of e.g.f.: tanh(sin(x)*log(x+1)).A012286
Expansion of e.g.f.: tanh(sin(x)*log(x+1)).
Expansion of e.g.f. arctanh(sin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5...A012287
Expansion of e.g.f. arctanh(sin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5...
Expansion of e.g.f. sec(sin(x)*log(x+1)).A012288
Expansion of e.g.f. sec(sin(x)*log(x+1)).
Expansion of e.g.f.: sech(sin(x)*log(x+1)).A012289
Expansion of e.g.f.: sech(sin(x)*log(x+1)).
Expansion of e.g.f. arctan(sin(x)*exp(x)).A012290
Expansion of e.g.f. arctan(sin(x)*exp(x)).
Expansion of e.g.f. arcsinh(sin(x)*exp(x)).A012291
Expansion of e.g.f. arcsinh(sin(x)*exp(x)).
Expansion of e.g.f. arctanh(sin(x)*exp(x)) = x+2/2!*x^2+4/3!*x^3+24/4!*x^4+180/5!*x^5...A012292
Expansion of e.g.f. arctanh(sin(x)*exp(x)) = x+2/2!*x^2+4/3!*x^3+24/4!*x^4+180/5!*x^5...
Expansion of e.g.f. sec(sin(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+25/4!*x^4+140/5!*x^5...A012293
Expansion of e.g.f. sec(sin(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+25/4!*x^4+140/5!*x^5...
Expansion of e.g.f.: sech(sin(x)*exp(x)).A012294
Expansion of e.g.f.: sech(sin(x)*exp(x)).
Duplicate of A009486.A012295
Duplicate of A009486.
Duplicate of A009675.A012296
Duplicate of A009675.
Expansion of e.g.f. arctan(sin(x)*sin(x)), even powers only.A012297
Expansion of e.g.f. arctan(sin(x)*sin(x)), even powers only.
Duplicate of A009596.A012298
Duplicate of A009596.
Expansion of e.g.f. arcsinh(sin(x)*sin(x)), even-indexed terms only.A012299
Expansion of e.g.f. arcsinh(sin(x)*sin(x)), even-indexed terms only.
Duplicate of A009801.A012300
Duplicate of A009801.
Expansion of e.g.f. arctanh(sin(x)*sin(x)), even powers only.A012301
Expansion of e.g.f. arctanh(sin(x)*sin(x)), even powers only.
Expansion of e.g.f. sec(sin(x)*sin(x)), even powers only.A012302
Expansion of e.g.f. sec(sin(x)*sin(x)), even powers only.
Expansion of e.g.f. sech(sin(x)*sin(x)), even powers only.A012303
Expansion of e.g.f. sech(sin(x)*sin(x)), even powers only.
Expansion of e.g.f.: exp(arcsin(x)*log(x+1)).A012304
Expansion of e.g.f.: exp(arcsin(x)*log(x+1)).
Expansion of e.g.f. arcsin(arcsin(x)*log(x+1)).A012305
Expansion of e.g.f. arcsin(arcsin(x)*log(x+1)).
Expansion of e.g.f. tan(arcsin(x) * log(x+1)).A012306
Expansion of e.g.f. tan(arcsin(x) * log(x+1)).
Expansion of e.g.f. arctan(arcsin(x) * log(x+1)).A012307
Expansion of e.g.f. arctan(arcsin(x) * log(x+1)).
Expansion of e.g.f. cos(arcsin(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-450/6!*x^6+2940/7!*x^7...A012308
Expansion of e.g.f. cos(arcsin(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-450/6!*x^6+2940/7!*x^7...
Expansion of e.g.f. sinh(arcsin(x) * log(x+1)).A012309
Expansion of e.g.f. sinh(arcsin(x) * log(x+1)).
Expansion of e.g.f. arcsinh(arcsin(x) * log(x+1)).A012310
Expansion of e.g.f. arcsinh(arcsin(x) * log(x+1)).