pgfplotstable: Como criar linhas com um loop

Question

Quero criar várias linhas de tabela com dados calculados dentro.
Então eu acho que tenho que usar\pgfplotstablevertcat{<1>}{<2>}

Mas algo assim (exemplo!) não funciona:

\foreach \k in {1,...,5}{
\pgfplotstableread{
\k \pgfmathparse{\k^2}\pgfmathresult
}\dataX % How to name this best way?
}

O que devo fazer?

\documentclass[a4paper]{article}
\usepackage{pgfplotstable}

\begin{document}
This works:
% Data
\pgfplotstableread[]{
1 1
}\data

\pgfplotstableread{
2 4
}\dataII

% Concatenate
\pgfplotstablevertcat{\data}{\dataII}
% Output
\pgfplotstabletypeset[
columns/0/.style={column name=$k$},
columns/1/.style={column name=$k^2$}
]{\data}

This does not work: 
%\foreach \k in {1,...,5}{
%\pgfplotstableread{
%\k \pgfmathparse{\k^2}\pgfmathresult
%}\dataX % How to name this best way
%}
\end{document}

Answer 1

Você pode estar procurando por create on use(ou \pgfplotstablecreatecol).

\documentclass[a4paper]{article}
\usepackage{pgfplotstable}
\pgfplotsset{compat=1.16}
\begin{document}

This is how it works:
\pgfplotstableset{create on use/k/.style={
create col/set list={1,...,10}},
columns/my new col/.style={string type}}
\pgfplotstableset{create on use/ksquared/.style={
create col/assign/.code={
\getthisrow{k}\entry
\pgfmathtruncatemacro{\mynewentry}{\entry*\entry}%
\pgfkeyslet{/pgfplots/table/create col/next content}\mynewentry}}}
\pgfplotstablenew[columns={k,ksquared}]{10}\cistable

\pgfplotstabletypeset[columns/k/.style={column name=$k$},
columns/ksquared/.style={column name=$k^2$}]{\cistable}
\end{document}