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 1-2 of 2 results.

A013783 a(n) = 5^(4*n + 3).

Original entry on oeis.org

125, 78125, 48828125, 30517578125, 19073486328125, 11920928955078125, 7450580596923828125, 4656612873077392578125, 2910383045673370361328125, 1818989403545856475830078125, 1136868377216160297393798828125
Offset: 0

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Keywords

Crossrefs

Subsequence of A000351.

Programs

  • Magma
    [5^(4*n+3): n in [0..15]]; // Vincenzo Librandi, Jun 28 2011
  • Mathematica
    5^(4*Range[0,20]+3) (* or *) NestList[625#&,125,20] (* Harvey P. Dale, Aug 14 2018 *)

Formula

From Philippe Deléham, Nov 30 2008: (Start)
a(n) = 625*a(n-1); a(0)=125.
G.f.: 125/(1-625*x).
a(n) = 25*A013782(n). (End)

A013792 a(n) = 10^(4*n + 1).

Original entry on oeis.org

10, 100000, 1000000000, 10000000000000, 100000000000000000, 1000000000000000000000, 10000000000000000000000000, 100000000000000000000000000000, 1000000000000000000000000000000000, 10000000000000000000000000000000000000, 100000000000000000000000000000000000000000
Offset: 0

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Subsequence of A011557.

Programs

Formula

a(n) = 10000*a(n-1). - Wesley Ivan Hurt, Apr 19 2023
From Elmo R. Oliveira, Aug 30 2024: (Start)
G.f.: 10/(1 - 10000*x).
E.g.f.: 10*exp(10000*x).
a(n) = A011557(A016813(n)) = A098608(n)*A013715(n) = A013776(n)*A013782(n). (End)
Showing 1-2 of 2 results.