Sequences
392,541 sequences
- a(n) = (3*n+4)*(n+3)!/24.A005460
a(n) = (3*n+4)*(n+3)!/24.
- Number of simplices in barycentric subdivision of n-simplex.A005461
Number of simplices in barycentric subdivision of n-simplex.
- Number of simplices in barycentric subdivision of n-simplex.A005462
Number of simplices in barycentric subdivision of n-simplex.
- Number of simplices in barycentric subdivision of n-simplex.A005463
Number of simplices in barycentric subdivision of n-simplex.
- Number of simplices in barycentric subdivision of n-simplex.A005464
Number of simplices in barycentric subdivision of n-simplex.
- Number of n-dimensional hypotheses allowing for conditional independence.A005465
Number of n-dimensional hypotheses allowing for conditional independence.
- 5 X 5 stochastic matrices of integers.A005466
5 X 5 stochastic matrices of integers.
- 6 X 6 stochastic matrices of integers.A005467
6 X 6 stochastic matrices of integers.
- a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)).A005468
a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)).
- a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)) for n > 1, a(1) = 2.A005469
a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)) for n > 1, a(1) = 2.
- Number of unlabeled planar simple graphs with n nodes.A005470
Number of unlabeled planar simple graphs with n nodes.
- Primes of the form m^2 + 3m + 9, where m can be positive or negative.A005471
Primes of the form m^2 + 3m + 9, where m can be positive or negative.
- Class numbers of Shanks' simplest cubic fields.A005472
Class numbers of Shanks' simplest cubic fields.
- Primes of form k^2 + 4.A005473
Primes of form k^2 + 4.
- Class numbers of the real quadratic fields Q(sqrt(A005473(n))).A005474
Class numbers of the real quadratic fields Q(sqrt(A005473(n))).
- a(n) = n*(5*n+1)/2.A005475
a(n) = n*(5*n+1)/2.
- a(n) = n*(5*n - 1)/2.A005476
a(n) = n*(5*n - 1)/2.
- a(n) = 2^(n-1)*(2^n - 1)*Product_{j=1..n-1} (2^j + 1).A005477
a(n) = 2^(n-1)*(2^n - 1)*Product_{j=1..n-1} (2^j + 1).
- Prime Fibonacci numbers.A005478
Prime Fibonacci numbers.
- Prime Lucas numbers (cf. A000032).A005479
Prime Lucas numbers (cf. A000032).
- Decimal expansion of cube root of 4.A005480
Decimal expansion of cube root of 4.
- Decimal expansion of cube root of 5.A005481
Decimal expansion of cube root of 5.
- Decimal expansion of cube root of 7.A005482
Decimal expansion of cube root of 7.
- Continued fraction for cube root of 7.A005483
Continued fraction for cube root of 7.
- Numerators of continued fraction convergents to cube root of 7.A005484
Numerators of continued fraction convergents to cube root of 7.
- Denominators of continued fraction convergents to cube root of 7.A005485
Denominators of continued fraction convergents to cube root of 7.
- Decimal expansion of cube root of 6.A005486
Decimal expansion of cube root of 6.
- Starts 0, 4 and contains no 3-term arithmetic progression.A005487
Starts 0, 4 and contains no 3-term arithmetic progression.
- Maximal number of edges in a b^{hat} graceful graph with n nodes.A005488
Maximal number of edges in a b^{hat} graceful graph with n nodes.
- Number of nonzero coefficients of order n in Baker-Campbell-Hausdorff expansion.A005489
Number of nonzero coefficients of order n in Baker-Campbell-Hausdorff expansion.
- Number of partitions of [n] where the first k elements are marked (0 <= k <= n-1) and at least k blocks contain their own index.A005490
Number of partitions of [n] where the first k elements are marked (0 <= k <= n-1) and at least k blocks contain their own index.
- a(n) = n^3 + 3*n + 1.A005491
a(n) = n^3 + 3*n + 1.
- From expansion of falling factorials.A005492
From expansion of falling factorials.
- 2-Bell numbers: a(n) = number of partitions of [n+1] with a distinguished block.A005493
2-Bell numbers: a(n) = number of partitions of [n+1] with a distinguished block.
- 3-Bell numbers: E.g.f.: exp(3*z + exp(z) - 1).A005494
3-Bell numbers: E.g.f.: exp(3*z + exp(z) - 1).
- Number of triangulations of the disk G_{n,3}.A005495
Number of triangulations of the disk G_{n,3}.
- A finite sequence associated with the Lie algebra E_7.A005496
A finite sequence associated with the Lie algebra E_7.
- Erroneous version of A210696.A005497
Erroneous version of A210696.
- Triangulations of the disk G_{2,n}.A005498
Triangulations of the disk G_{2,n}.
- Triangulations of the disk G_{3,n}.A005499
Triangulations of the disk G_{3,n}.
- Number of unrooted triangulations of a quadrilateral with n internal nodes.A005500
Number of unrooted triangulations of a quadrilateral with n internal nodes.
- Number of unrooted triangulations of a pentagon with n internal nodes.A005501
Number of unrooted triangulations of a pentagon with n internal nodes.
- Number of unrooted triangulations of a hexagon with n internal nodes.A005502
Number of unrooted triangulations of a hexagon with n internal nodes.
- Number of unrooted triangulations of a disk with one internal node and n+3 nodes on the boundary.A005503
Number of unrooted triangulations of a disk with one internal node and n+3 nodes on the boundary.
- Number of unrooted triangulations of a disk with 2 internal nodes and n+3 nodes on the boundary.A005504
Number of unrooted triangulations of a disk with 2 internal nodes and n+3 nodes on the boundary.
- Number of unrooted triangulations with reflection symmetry of a quadrilateral with n internal nodes.A005505
Number of unrooted triangulations with reflection symmetry of a quadrilateral with n internal nodes.
- Number of unrooted triangulations with reflection symmetry of a pentagon with n internal nodes.A005506
Number of unrooted triangulations with reflection symmetry of a pentagon with n internal nodes.
- Number of unrooted triangulations with reflection symmetry of a hexagon with n internal nodes.A005507
Number of unrooted triangulations with reflection symmetry of a hexagon with n internal nodes.
- Number of unrooted triangulations with reflection symmetry of a disk with one internal node and n+3 nodes on the boundary.A005508
Number of unrooted triangulations with reflection symmetry of a disk with one internal node and n+3 nodes on the boundary.
- Number of unrooted triangulations with reflection symmetry of a disk with 2 internal nodes and n+3 nodes on the boundary.A005509
Number of unrooted triangulations with reflection symmetry of a disk with 2 internal nodes and n+3 nodes on the boundary.