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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A171377 Zeros in a A171246 modulo two matrix:a(n)=(n+1)^2-Sum[Sum[Mod[A171246(m,k),2],{k,0,n}],{m,0,n}].

Original entry on oeis.org

0, 1, 4, 7, 11, 16, 22, 35, 45, 60, 74, 91, 107, 124, 142, 161, 179, 204, 228, 255, 277, 306, 332, 363, 389, 418, 450, 493, 529, 562, 600, 635, 671, 712, 754, 799, 839, 890, 940
Offset: 0

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Author

Roger L. Bagula, Dec 07 2009

Keywords

Comments

The sequence is the relationship of holes to fractal by area of Gaussian scale 2 modulo two matrices.
The area ratio: a(n)/(n+1)^2 varies fractally while approaching a maximum near 0.6375 and then, declining.

Crossrefs

Programs

  • Mathematica
    Clear[t, n, k, a]
    t[n_, k_] = If[k <= n, 1 + Floor[n!*2^(-(k - n/2)^2)/2], 0]
    TableForm[Table[Table[Table[Mod[t[m, k], 2], {k, 0, n}], {m, 0, n}], { n, 0, 10}]]
    (*A006046 like*)
    Table[Sum[Sum[Mod[t[m, k], 2], {k, 0, m}], {m, 0, n}], {n, 0, 30}]
    a = Table[(n + 1)^2 - Sum[Sum[Mod[t[m, k], 2], { k, 0, m}], {m, 0, n}], {n, 0, 40}]
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