Sequences

392,541 sequences

Expansion of e.g.f.: sin(log(1+x))/exp(x).A009461
Expansion of e.g.f.: sin(log(1+x))/exp(x).
Expansion of sin(log(1+x)*cos(x)).A009462
Expansion of sin(log(1+x)*cos(x)).
Expansion of e.g.f.: sin(log(1+x)*cosh(x)).A009463
Expansion of e.g.f.: sin(log(1+x)*cosh(x)).
Expansion of e.g.f.: sin(log(1+x)*exp(x)).A009464
Expansion of e.g.f.: sin(log(1+x)*exp(x)).
Expansion of sin(log(1+x)/cos(x)).A009465
Expansion of sin(log(1+x)/cos(x)).
Expansion of sin(log(1+x)/cosh(x)).A009466
Expansion of sin(log(1+x)/cosh(x)).
Expansion of sin(log(1+x)/exp(x)).A009467
Expansion of sin(log(1+x)/exp(x)).
Expansion of sin(log(1+x)^2).A009468
Expansion of sin(log(1+x)^2).
Expansion of sin(sin(log(1+x))).A009469
Expansion of sin(sin(log(1+x))).
a(n) is the concatenation of n and 8n.A009470
a(n) is the concatenation of n and 8n.
Expansion of sin(sin(sinh(x))).A009471
Expansion of sin(sin(sinh(x))).
Expansion of sin(sin(tan(x))).A009472
Expansion of sin(sin(tan(x))).
Expansion of sin(sin(tanh(x))).A009473
Expansion of sin(sin(tanh(x))).
a(n) is the concatenation of n and 9n.A009474
a(n) is the concatenation of n and 9n.
"Pascal sweep" for k=6: 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).A009475
"Pascal sweep" for k=6: 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(sin(x))*cosh(x).A009476
Expansion of sin(sin(x))*cosh(x).
Expansion of sin(sin(x))*exp(x).A009477
Expansion of sin(sin(x))*exp(x).
Expansion of sin(sin(x))*x.A009478
Expansion of sin(sin(x))*x.
Expansion of sin(sin(x))/cos(x).A009479
Expansion of sin(sin(x))/cos(x).
E.g.f. sin(sin(x))/cosh(x) (odd powers only).A009480
E.g.f. sin(sin(x))/cosh(x) (odd powers only).
Expansion of sin(sin(x)*cos(x)).A009481
Expansion of sin(sin(x)*cos(x)).
E.g.f. sin(sin(x)*cosh(x)) (odd powers only).A009482
E.g.f. sin(sin(x)*cosh(x)) (odd powers only).
E.g.f. sin(sin(x)*exp(x)).A009483
E.g.f. sin(sin(x)*exp(x)).
From the expansion of sin(sin(x)*x).A009484
From the expansion of sin(sin(x)*x).
Expansion of e.g.f. sin(sin(x)/cosh(x)), odd powers only.A009485
Expansion of e.g.f. sin(sin(x)/cosh(x)), odd powers only.
sin(sin(x)*sin(x)) = 2/2!*x^2 - 8/4!*x^4 - 88/6!*x^6 + 6592/8!*x^8 - ...A009486
sin(sin(x)*sin(x)) = 2/2!*x^2 - 8/4!*x^4 - 88/6!*x^6 + 6592/8!*x^8 - ...
Expansion of e.g.f.: sin(sinh(log(1+x))).A009487
Expansion of e.g.f.: sin(sinh(log(1+x))).
E.g.f. sin(sinh(sin(x))) (odd powers only).A009488
E.g.f. sin(sinh(sin(x))) (odd powers only).
Expansion of sin(sinh(tan(x))).A009489
Expansion of sin(sinh(tan(x))).
Number of distinct orders of permutations of n objects; number of nonisomorphic cyclic subgroups of symmetric group S_n.A009490
Number of distinct orders of permutations of n objects; number of nonisomorphic cyclic subgroups of symmetric group S_n.
Expansion of sin(sinh(x))*cos(x).A009491
Expansion of sin(sinh(x))*cos(x).
Expansion of e.g.f.: sin(sinh(x))*exp(x).A009492
Expansion of e.g.f.: sin(sinh(x))*exp(x).
Expansion of sin(sinh(x))*x.A009493
Expansion of sin(sinh(x))*x.
Expansion of e.g.f. sin(sinh(x))/cos(x), odd powers only.A009494
Expansion of e.g.f. sin(sinh(x))/cos(x), odd powers only.
Expansion of sin(sinh(x)*cos(x)).A009495
Expansion of sin(sinh(x)*cos(x)).
Expansion of e.g.f. sin(sinh(x)*exp(x)).A009496
Expansion of e.g.f. sin(sinh(x)*exp(x)).
Expansion of e.g.f. sin(sinh(x)*sin(x))/2 in odd powers of x^2.A009497
Expansion of e.g.f. sin(sinh(x)*sin(x))/2 in odd powers of x^2.
Expansion of sin(sinh(x)/cos(x)).A009498
Expansion of sin(sinh(x)/cos(x)).
Expansion of e.g.f. = sin(tan(log(1+x))).A009499
Expansion of e.g.f. = sin(tan(log(1+x))).
Expansion of sin(tan(sin(x))).A009500
Expansion of sin(tan(sin(x))).
Expansion of sin(tan(sinh(x))).A009501
Expansion of sin(tan(sinh(x))).
Expansion of sin(tan(tan(x))).A009502
Expansion of sin(tan(tan(x))).
Expansion of sin(tan(tanh(x))).A009503
Expansion of sin(tan(tanh(x))).
"Pascal sweep" for k=7: 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).A009504
"Pascal sweep" for k=7: 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(tan(x))*cos(x).A009505
Expansion of sin(tan(x))*cos(x).
Expansion of sin(tan(x))*cosh(x).A009506
Expansion of sin(tan(x))*cosh(x).
Expansion of sin(tan(x))*exp(x).A009507
Expansion of sin(tan(x))*exp(x).
Expansion of sin(tan(x))*x.A009508
Expansion of sin(tan(x))*x.
Expansion of sin(tan(x))/cos(x).A009509
Expansion of sin(tan(x))/cos(x).
Expansion of sin(tan(x))/cosh(x).A009510
Expansion of sin(tan(x))/cosh(x).