Sequences

392,541 sequences

Expansion of sin(tan(x)*cosh(x)).A009511
Expansion of sin(tan(x)*cosh(x)).
E.g.f.: Expansion of sin(tan(x)*exp(x)).A009512
E.g.f.: Expansion of sin(tan(x)*exp(x)).
sin(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4-58/6!*x^6-1976/8!*x^8...A009513
sin(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4-58/6!*x^6-1976/8!*x^8...
sin(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4+22/6!*x^6-6888/8!*x^8...A009514
sin(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4+22/6!*x^6-6888/8!*x^8...
E.g.f. sin(x*tan(x)) (even powers only).A009515
E.g.f. sin(x*tan(x)) (even powers only).
Expansion of sin(tan(x)/cos(x)).A009516
Expansion of sin(tan(x)/cos(x)).
Expansion of sin(tan(x)/cosh(x)).A009517
Expansion of sin(tan(x)/cosh(x)).
Expansion of e.g.f. sin(tan(x)^2) (even powers only).A009518
Expansion of e.g.f. sin(tan(x)^2) (even powers only).
Expansion of e.g.f.: sin(tanh(log(1+x))).A009519
Expansion of e.g.f.: sin(tanh(log(1+x))).
Expansion of sin(tanh(sin(x))).A009520
Expansion of sin(tanh(sin(x))).
Expansion of sin(tanh(tan(x))).A009521
Expansion of sin(tanh(tan(x))).
"Pascal sweep" for k=8: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).A009522
"Pascal sweep" for k=8: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).
Expansion of sin(tanh(x))*cos(x).A009523
Expansion of sin(tanh(x))*cos(x).
Expansion of e.g.f.: sin(tanh(x))*exp(x).A009524
Expansion of e.g.f.: sin(tanh(x))*exp(x).
Expansion of sin(tanh(x))*x.A009525
Expansion of sin(tanh(x))*x.
Expansion of sin(tanh(x))/cos(x).A009526
Expansion of sin(tanh(x))/cos(x).
Expansion of sin(tanh(x)*cos(x)).A009527
Expansion of sin(tanh(x)*cos(x)).
Expansion of e.g.f.: sin(tanh(x)*exp(x)).A009528
Expansion of e.g.f.: sin(tanh(x)*exp(x)).
Sin(tanh(x)*tan(x))/2 = Sum a(n)*x^(4*n+2)/(4*n+2)!.A009529
Sin(tanh(x)*tan(x))/2 = Sum a(n)*x^(4*n+2)/(4*n+2)!.
Expansion of e.g.f. sin(tanh(x)/cos(x)).A009530
Expansion of e.g.f. sin(tanh(x)/cos(x)).
Expansion of the e.g.f. sin(x)*(1+x).A009531
Expansion of the e.g.f. sin(x)*(1+x).
Expansion of e.g.f.: sin(x)*cos(log(1+x)).A009532
Expansion of e.g.f.: sin(x)*cos(log(1+x)).
Expansion of sin(x)*cos(sin(x)).A009533
Expansion of sin(x)*cos(sin(x)).
Expansion of sin(x)*cos(sinh(x)).A009534
Expansion of sin(x)*cos(sinh(x)).
Expansion of sin(x)*cos(tan(x)).A009535
Expansion of sin(x)*cos(tan(x)).
Expansion of sin(x)*cos(tanh(x)).A009536
Expansion of sin(x)*cos(tanh(x)).
Expansion of sin(x)*cosh(log(1+x)).A009537
Expansion of sin(x)*cosh(log(1+x)).
Expansion of sin(x)*cosh(sin(x)).A009538
Expansion of sin(x)*cosh(sin(x)).
Expansion of sin(x)*cosh(tan(x)).A009539
Expansion of sin(x)*cosh(tan(x)).
"Pascal sweep" for k=9: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).A009540
"Pascal sweep" for k=9: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).
Expansion of sin(x)*exp(sin(x)).A009541
Expansion of sin(x)*exp(sin(x)).
Expansion of e.g.f. sin(x)*exp(sinh(x)).A009542
Expansion of e.g.f. sin(x)*exp(sinh(x)).
Expansion of e.g.f.: sin(x)*exp(tan(x)).A009543
Expansion of e.g.f.: sin(x)*exp(tan(x)).
Expansion of sin(x)*exp(tanh(x)).A009544
Expansion of sin(x)*exp(tanh(x)).
Expansion of e.g.f. sin(x)*exp(x).A009545
Expansion of e.g.f. sin(x)*exp(x).
Expansion of e.g.f. sin(x)*sin(sin(x)) (even powers only).A009546
Expansion of e.g.f. sin(x)*sin(sin(x)) (even powers only).
Expansion of e.g.f. sin(x)*sin(sinh(x)) (even powers only).A009547
Expansion of e.g.f. sin(x)*sin(sinh(x)) (even powers only).
Expansion of e.g.f. sin(x)*sin(tan(x)) (even powers only).A009548
Expansion of e.g.f. sin(x)*sin(tan(x)) (even powers only).
Expansion of e.g.f. sin(x)*sin(tanh(x)) (even powers only).A009549
Expansion of e.g.f. sin(x)*sin(tanh(x)) (even powers only).
"Pascal sweep" for k=10: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).A009550
"Pascal sweep" for k=10: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).
Expansion of sin(x)/(1-x).A009551
Expansion of sin(x)/(1-x).
Expansion of e.g.f. sin(x)/cos(log(1+x)).A009552
Expansion of e.g.f. sin(x)/cos(log(1+x)).
Expansion of e.g.f. sin(x)/cos(sin(x)) (odd powers only).A009553
Expansion of e.g.f. sin(x)/cos(sin(x)) (odd powers only).
Expansion of e.g.f. sin(x)/cos(sinh(x)) (odd powers only).A009554
Expansion of e.g.f. sin(x)/cos(sinh(x)) (odd powers only).
Expansion of e.g.f. sin(x)/cos(tan(x)) (odd powers only).A009555
Expansion of e.g.f. sin(x)/cos(tan(x)) (odd powers only).
Expansion of e.g.f. sin(x)/cos(tanh(x)) (odd powers only).A009556
Expansion of e.g.f. sin(x)/cos(tanh(x)) (odd powers only).
Expansion of e.g.f. sin(x)/cosh(log(1+x)).A009557
Expansion of e.g.f. sin(x)/cosh(log(1+x)).
Expansion of e.g.f. sin(x)/cosh(sin(x)) (odd powers only).A009558
Expansion of e.g.f. sin(x)/cosh(sin(x)) (odd powers only).
Expansion of e.g.f. sin(x)/cosh(tan(x)) (odd powers only).A009559
Expansion of e.g.f. sin(x)/cosh(tan(x)) (odd powers only).
Numbers k that divide the sum of all primes <= k.A009560
Numbers k that divide the sum of all primes <= k.