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.

A378802 a(n) = n * binomial(4*n, n).

Original entry on oeis.org

0, 4, 56, 660, 7280, 77520, 807576, 8288280, 84146400, 847289520, 8476605280, 84362730452, 836022413616, 8255176274800, 81266247493200, 797911337890800, 7816430993273280, 76417576884236016, 745777615780501920, 7266758081613043600, 70706322844243486400, 687103929058903836480
Offset: 0

Views

Author

Amiram Eldar, Dec 07 2024

Keywords

Crossrefs

Programs

  • Mathematica
    a[n_] := n * Binomial[4*n, n]; Array[a, 25, 0]
  • PARI
    a(n) = n * binomial(4*n, n);

Formula

a(n) = n * A005810(n).
a(n) = A374522(n) + n.
a(n) == 0 (mod 4).
Sum_{n>=1} 1/a(n) = A225847.
Sum_{n>=1} (-1)^n/a(n) = A229703.