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.

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A086198 Incorrect version of A380265.

Original entry on oeis.org

2, 3, 4, 1, 1, 1, 1, 9, 10, 11, 4, 13, 7, 15, 4, 17, 18, 19, 5, 7, 22, 23, 8, 25, 13, 9, 2, 29, 2, 31, 32, 33, 34, 35, 36, 37, 19, 39, 2, 41, 21, 43, 2, 45, 23, 47, 2, 49, 25, 51, 52, 53, 9, 55, 7, 57, 29, 59, 30, 61, 62, 9, 16, 65, 66, 67, 68, 23, 5, 71, 12, 73, 37, 75, 76, 77
Offset: 1

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Author

Eric W. Weisstein, Jul 11 2003

Keywords

Comments

Previous name was: Denominators of running averages of A051903.
Due to a bug in the Mathematica code in the World of Mathematics page, the sequence was calculated with running averages over {A051903(1), 1, A051903(2), A051903(3), ... } with the first term removed. See A380265 for the correct sequence. - Amiram Eldar, Jan 18 2025

Examples

			1/2, 2/3, 3/4, 1, 1, 1, 1, 11/9, 13/10, 14/11, ...
		

Crossrefs

Cf. A051903, A086197 (numerators), A380265.

Programs

  • Mathematica
    f[n_] := Max[FactorInteger[n][[;; , 2]]]; f[1] = 0; With[{m = 100}, Denominator[(1 + Accumulate[Array[f, m]]) / Range[2, m+1]]] (* Amiram Eldar, Jan 18 2025 *)

Formula

a(n) = denominator((1 + Sum_{k=1..n} A051903(k))/(n+1)). - Amiram Eldar, Jan 18 2025
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