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.

A014796 Squares of even tetrahedral numbers (A015220).

Original entry on oeis.org

0, 16, 100, 400, 3136, 7056, 14400, 48400, 81796, 132496, 313600, 462400, 665856, 1299600, 1768900, 2371600, 4096576, 5290000, 6760000, 10732176, 13351716, 16483600, 24601600, 29767936, 35808256, 50979600, 60372900, 71166096, 97614400, 113635600, 131790400, 175403536
Offset: 0

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Crossrefs

Programs

  • Mathematica
    Select[Binomial[Range[0,40]+2,3],EvenQ]^2 (* Harvey P. Dale, Jan 19 2012 *)

Formula

From Amiram Eldar, Mar 07 2022: (Start)
a(n) = A015220(n)^2.
Sum_{n>=1} 1/a(n) = 27*(Pi^2 + Pi - 13)/4. (End)
a(n) = a(n-1) + 6*a(n-3) - 6*a(n-4) - 15*a(n-6) + 15*a(n-7) + 20*a(n-9) - 20*a(n-10) - 15*a(n-12) + 15*a(n-13) + 6*a(n-15) - 6*a(n-16) - a(n-18) + a(n-19). - Wesley Ivan Hurt, Jul 16 2025

Extensions

More terms from Erich Friedman
a(0) and more terms from Amiram Eldar, Mar 07 2022