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New sign and revised handle... Larger back piece in case of wind.
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Some series connecting Fibonacci numbers to $\pi$
Zhi-Wei Sun, Yajun Zhou
https://arxiv.org/abs/2506.01865 https://arxiv.org/pdf/2506…

Some series connecting Fibonacci numbers to $π$
In this paper, we mainly deduce several series identities connecting the Fibonacci numbers to $π$. For example, we prove that \[\sum_{k=1}^{\infty}\frac{(135 k-56) F_{8 k}-2 (105 k-44) F_{8 k-1}}{k^{3}\binom{2k}{k}^3}=\frac{7π^{2}}{3}\]and\[\sum_{k=0}^\infty\frac{\binom{2k}{k}^3}{2^{12k}}\big[ 2 (90 k+13) F_{8 k}-2 (30 k-1) F_{8 k-1}\big]=\frac{64}π.\]

Kamer stuurt aan op forse trendbreuk in openbaar vervoer: provincies mogen het weer zelf gaan regelen | de *Volkskrant
https://www.volkskrant.nl/binnenland/kamer-stuurt-aan-op-forse-…

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Elon Musk vs. Steve Bannon War Explodes With Prison and Deportation Threats (Tom Sanders/The Daily Beast)
https://www.thedailybeast.com/elon-musk-vs-steve-bannon-war-explodes-with-prison-and-deportation-threats/
http://www.memeorandum.com/250701/p162#a250701p162

"I religiously followed your blog along with the blogs of Jeffrey Zeldman, Dan Cederholm, and Doug Bowman. You were blogging constantly and it was great for people who were getting immersed in web design and code."
https://veerle.duoh.com
@…

Veerle's Blog 4.0 | Graphic & Web Design Articles & Illustrator and…
Hi, I'm Veerle! Explore my design tutorials to gain valuable insights and resources that have shaped my own ( web ) design journey. Discover the…

This https://arxiv.org/abs/2505.24100 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Halfway to induced saturation for even cycles
For graphs $G$ and $H$, we say that $G$ is $H$-free if no induced subgraph of $G$ is isomorphic to $H$, and that $G$ is $H$-induced saturated if $G$ is $H$-free but removing or adding any edge in $G$ creates an induced copy of $H$. A full characterization of graphs $H$ for which $H$-induced saturated graphs exist remains elusive. Even the case where $H$ is a path -- now settled by the collective results of Martin and Smith, Bonamy et al., and Dvoŕǎk -- was already quite challenging. What if…

Various irrational series involving binomial coefficients
Zhi-Wei Sun
https://arxiv.org/abs/2506.01870 https://arxiv.org/pdf/2506.018…

Various irrational series involving binomial coefficients
Motivated by Galois theory, we propose some new irrational series of Ramanujan's type or Zeilberger's type. For example, we conjecture that \begin{equation*}\sum_{k=1}^\infty\frac{\binom{2k}k^2\binom{4k}{2k}}{(84-32\sqrt6)^{4k}} \left(280k+5\sqrt6+26\right)=\frac3π(2\sqrt3+33\sqrt2) \end{equation*} and \begin{align*}&\sum_{k=1}^\infty\frac{(27(37102-15147\sqrt6))^k}{k^3\binom{2k}k^2\binom{3k}k} \left(9k(11\sqrt6+51)-2(19\sqrt6+54)\right) \\&\qquad=\frac{5625}2\left(\sqrt6 L_{-24}(2)-3G\r…

Why the acting CDC director's background does not inspire confidence (Steve Benen/MSNBC)
https://www.msnbc.com/rachel-maddow-show/maddowblog/acting-cdc-directors-background-not-inspire-confidence-rcna228822
http://www.memeorandum.com/250903/p98#a250903p98

The Hasse principle for homogeneous polynomials with random coefficients over thin sets II
Daniel Flores, Kiseok Yeon
https://arxiv.org/abs/2506.01291 http…

The Hasse principle for homogeneous polynomials with random coefficients over thin sets II
Let $d$ and $n$ be natural numbers. Let $ν_{d,n}: \mathbb{R}^n\rightarrow \mathbb{R}^{N}$ denote the Veronese embedding with $N=N_{n,d}:=\binom{n+d-1}{d}$, defined by listing all the monomials of degree $d$ in $n$ variables using the lexicographical ordering. Let $\langle \boldsymbol{a}, ν_{d,n}(\boldsymbol{x})\rangle\in \mathbb{Z}[\boldsymbol{x}]$ be a homogeneous polynomial in $n$ variables of degree $d$ with integer coefficients $\boldsymbol{a}$, where $\langle\cdot,\cdot\rangle$ denotes t…