cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-5 of 5 results.

A134367 a(n) = (n!)^(n-2).

Original entry on oeis.org

1, 1, 1, 6, 576, 1728000, 268738560000, 3252016064102400000, 4296582355504620109824000000, 828592942960967278432052230225920000000, 30067980714167580599742311330438184960000000000000000
Offset: 0

Views

Author

Artur Jasinski, Oct 22 2007

Keywords

Crossrefs

Programs

  • Mathematica
    Table[(n!)^(n - 2), {n, 0, 10}]

Formula

a(n) ~ exp(1/12 + 2*n - n^2) * n^(n^2 - 3*n/2 - 1) * (2*Pi)^(n/2 - 1). - Vaclav Kotesovec, Oct 26 2017

A134368 a(n) = ((2n)!)^(n+1).

Original entry on oeis.org

1, 4, 13824, 268738560000, 106562062388507443200000, 2283380023591730815784976384000000000000, 5785737804304645733190746102656048717392091545600000000000000
Offset: 0

Views

Author

Artur Jasinski, Oct 22 2007

Keywords

Crossrefs

Programs

  • Mathematica
    Table[((2n)!)^(n + 1), {n, 0, 10}]

Formula

a(n) ~ 2^((n+1)*(2*n+1)) * exp(1/24 - 2*n*(n+1)) * n^((n+1)*(4*n+1)/2) * Pi^((n+1)/2). - Vaclav Kotesovec, Oct 26 2017

A134366 a(n) = (n!)^(n-1).

Original entry on oeis.org

1, 1, 2, 36, 13824, 207360000, 193491763200000, 16390160963076096000000, 173238200573946282828103680000000, 300679807141675805997423113304381849600000000
Offset: 0

Views

Author

Artur Jasinski, Oct 22 2007

Keywords

Crossrefs

Programs

  • Maple
    a:=n->mul(n!/k, k=1..n): seq(a(n), n=0..9); # Zerinvary Lajos, Jan 22 2008
    restart:with (combinat):a:=n->mul(stirling1(n,1), j=3..n): seq(a(n), n=1..10); # Zerinvary Lajos, Jan 01 2009
  • Mathematica
    Table[(n!)^(n - 1), {n, 0, 10}]
  • PARI
    a(n) = (n!)^(n-1); \\ Michel Marcus, Dec 23 2015

Formula

a(n) ~ exp(1/12 + n - n^2) * n^((n-1)*(2*n+1)/2) * (2*Pi)^((n-1)/2). - Vaclav Kotesovec, Oct 26 2017

Extensions

Offset corrected to 0 by Michel Marcus, Dec 23 2015

A134369 a(n) = ((2n+1)!)^(n+1).

Original entry on oeis.org

1, 36, 1728000, 645241282560000, 6292383221978976013516800000, 4045146997974190235742848547815424000000000000, 363046466970952735968096996065196818096105852014637875200000000000000
Offset: 0

Views

Author

Artur Jasinski, Oct 22 2007

Keywords

Crossrefs

Programs

  • Mathematica
    Table[((2n+1)!)^(n + 1), {n, 0, 10}]

Formula

a(n) ~ 2^(2*(n+1)^2) * exp(13/24 - 2*n*(n+1)) * n^((n+1)*(4*n+3)/2) * Pi^((n+1)/2). - Vaclav Kotesovec, Oct 26 2017

A134371 a(n) = ((2n)!)^n.

Original entry on oeis.org

1, 2, 576, 373248000, 2642908293365760000, 629238322197897601351680000000000, 12078744213598964456884373878200091017216000000000000
Offset: 0

Views

Author

Artur Jasinski, Oct 22 2007

Keywords

Crossrefs

Programs

  • Mathematica
    Table[((2n)!)^(n), {n, 0, 10}]

Formula

a(n) ~ 2^(n*(2*n+1)) * exp(1/24 - 2*n^2) * n^(n*(4*n+1)/2) * Pi^(n/2). - Vaclav Kotesovec, Oct 26 2017
Showing 1-5 of 5 results.