Sequences

392,541 sequences

E.g.f.: Expansion of exp(tanh(tanh(x))).A009261
E.g.f.: Expansion of exp(tanh(tanh(x))).
a(n) = lcm(n, phi(n)).A009262
a(n) = lcm(n, phi(n)).
Expansion of e.g.f.: exp(tanh(x)).x.A009263
Expansion of e.g.f.: exp(tanh(x)).x.
Expansion of e.g.f.: exp(tanh(x))/cos(x).A009264
Expansion of e.g.f.: exp(tanh(x))/cos(x).
Expansion of exp(tanh(x))/cosh(x).A009265
Expansion of exp(tanh(x))/cosh(x).
Expansion of exp(tanh(x))/exp(x).A009266
Expansion of exp(tanh(x))/exp(x).
Expansion of exp(tanh(x)*cos(x)).A009267
Expansion of exp(tanh(x)*cos(x)).
Expansion of e.g.f. exp(tanh(x)*exp(x)).A009268
Expansion of e.g.f. exp(tanh(x)*exp(x)).
Expansion of e.g.f. exp(tanh(x)*log(1+x)).A009269
Expansion of e.g.f. exp(tanh(x)*log(1+x)).
Expansion of exp(tanh(x)*sin(x)).A009270
Expansion of exp(tanh(x)*sin(x)).
Expansion of exp(tanh(x)*sinh(x)).A009271
Expansion of exp(tanh(x)*sinh(x)).
Expansion of e.g.f. exp(tanh(x)*tan(x)), even powers only.A009272
Expansion of e.g.f. exp(tanh(x)*tan(x)), even powers only.
Expansion of e.g.f. exp(x*tanh(x)) (even powers only).A009273
Expansion of e.g.f. exp(x*tanh(x)) (even powers only).
E.g.f.: exp(tanh(x)/cos(x)).A009274
E.g.f.: exp(tanh(x)/cos(x)).
Expansion of exp(tanh(x)/cosh(x)).A009275
Expansion of exp(tanh(x)/cosh(x)).
E..g.f. exp(tanh(x)/exp(x)).A009276
E..g.f. exp(tanh(x)/exp(x)).
E.g.f. exp(tanh(x)^2) (even powers only).A009277
E.g.f. exp(tanh(x)^2) (even powers only).
a(n) = lcm(d(n), sigma(n)).A009278
a(n) = lcm(d(n), sigma(n)).
a(n) = lcm(d(n), phi(n)).A009279
a(n) = lcm(d(n), phi(n)).
Expansion of exp(x)*cos(log(1+x)).A009280
Expansion of exp(x)*cos(log(1+x)).
Expansion of e.g.f. exp(x)*cosh(log(1+x)).A009281
Expansion of e.g.f. exp(x)*cosh(log(1+x)).
Expansion of e.g.f.: exp(x + sin(x)).A009282
Expansion of e.g.f.: exp(x + sin(x)).
E.g.f.: exp(x + sinh(x)).A009283
E.g.f.: exp(x + sinh(x)).
Expansion of e.g.f. exp(x + tan(x)).A009284
Expansion of e.g.f. exp(x + tan(x)).
Expansion of e.g.f. exp(x + tanh(x)).A009285
Expansion of e.g.f. exp(x + tanh(x)).
a(n) = lcm(sigma(n), phi(n)).A009286
a(n) = lcm(sigma(n), phi(n)).
a(1) = 3; thereafter a(n+1) = least k with a(n) divisors.A009287
a(1) = 3; thereafter a(n+1) = least k with a(n) divisors.
Expansion of exp(x)/cos(log(1+x)).A009288
Expansion of exp(x)/cos(log(1+x)).
Expansion of exp(x)/cos(sin(x)).A009289
Expansion of exp(x)/cos(sin(x)).
Expansion of exp(x)/cos(sinh(x)).A009290
Expansion of exp(x)/cos(sinh(x)).
Expansion of exp(x)/cos(tan(x)).A009291
Expansion of exp(x)/cos(tan(x)).
Expansion of exp(x)/cos(tanh(x)).A009292
Expansion of exp(x)/cos(tanh(x)).
If a, b in sequence, so is a*b+1.A009293
If a, b in sequence, so is a*b+1.
Expansion of e.g.f.: exp(x)/cosh(log(1+x)).A009294
Expansion of e.g.f.: exp(x)/cosh(log(1+x)).
Expansion of e.g.f.: exp(x)/cosh(sin(x)).A009295
Expansion of e.g.f.: exp(x)/cosh(sin(x)).
Expansion of exp(x)/cosh(sinh(x)).A009296
Expansion of exp(x)/cosh(sinh(x)).
Expansion of exp(x)/cosh(tan(x)).A009297
Expansion of exp(x)/cosh(tan(x)).
Expansion of e.g.f.: exp(x)/cosh(tanh(x)).A009298
Expansion of e.g.f.: exp(x)/cosh(tanh(x)).
If a, b in sequence, so is a*b+2.A009299
If a, b in sequence, so is a*b+2.
Expansion of exp(x/cos(x)).A009300
Expansion of exp(x/cos(x)).
E.g.f. exp(x/cosh(x)).A009301
E.g.f. exp(x/cosh(x)).
If a, b are in the sequence, so is ab+3.A009302
If a, b are in the sequence, so is ab+3.
If a, b in sequence, so is ab+4.A009303
If a, b in sequence, so is ab+4.
If a, b in sequence, so is ab+5.A009304
If a, b in sequence, so is ab+5.
Expansion of e.g.f. log(1 + x*cosh(x)).A009305
Expansion of e.g.f. log(1 + x*cosh(x)).
Expansion of e.g.f.: log(1 + exp(x)*x).A009306
Expansion of e.g.f.: log(1 + exp(x)*x).
If a, b in sequence, so is ab+6.A009307
If a, b in sequence, so is ab+6.
Expansion of log(1+log(1+sin(x))).A009308
Expansion of log(1+log(1+sin(x))).
Expansion of log(1+log(1+sinh(x))).A009309
Expansion of log(1+log(1+sinh(x))).
Expansion of log(1+log(1+tan(x))).A009310
Expansion of log(1+log(1+tan(x))).