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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A296179 Number of points of the inner discrete Theodorus spiral on sheet S_n, n >= 1. First differences of A295339.

Original entry on oeis.org

15, 37, 56, 76, 95, 115, 136, 154, 175, 194, 214, 234, 254, 273, 293, 313, 332, 352, 372, 392, 411, 432, 450, 471, 490, 511, 529, 550, 569, 590, 608, 629, 648, 668, 688, 708, 727, 747, 767
Offset: 1

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Author

Wolfdieter Lang, Dec 13 2017

Keywords

Comments

In the complex plane the punctured sheets S_n are given by rho*exp(i*phi_n), with rho > 0 and 2*Pi*(n-1) <= phi_n < 2*Pi*n, for n >= 1.
For the inner discrete Theodorus spiral see the Waldvogel link.
The conjecture stated in A295339 implies that a(n) = A295338(n), for n >= 2.

Crossrefs

Cf. A295339, A295338 (outer spiral), A172164.

Formula

a(n) = b(n) - b(n-1), for n >= 1, with b(n) = A295339(n), and b(0) = 0.
Conjecture: a(n) = A295338(n), for n >= 2 (see a comment above).
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