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.

A350349 Lexicographically earliest increasing sequence of positive integers such that the Hankel matrix of any odd number of consecutive terms is invertible.

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%I A350349 #4 Dec 26 2021 14:15:46
%S A350349 1,2,3,4,6,7,8,9,11,12,14,15,16,17,19,20,21,22,25,26,27,28,30,31,32,
%T A350349 33,35,36,38,39,42,43,44,45,47,48,49,50,52,53,55,56,57,58,60,61,62,63,
%U A350349 66,67,68,69,71,72,73,74,76,77,80,81,82,83,85,86,87,88,90
%N A350349 Lexicographically earliest increasing sequence of positive integers such that the Hankel matrix of any odd number of consecutive terms is invertible.
%H A350349 Wikipedia, <a href="https://en.wikipedia.org/wiki/Hankel_matrix">Hankel matrix</a>
%o A350349 (Python)
%o A350349 from sympy import Matrix
%o A350349 from itertools import count
%o A350349 def A350349_list(nmax):
%o A350349     a=[1]
%o A350349     for n in range(1,nmax):
%o A350349         a.append(next(k for k in count(a[-1]+1) if all(Matrix((n-r)//2+1,(n-r)//2+1,lambda i,j:(a[r:]+[k])[i+j]).det()!=0 for r in range(n-2,-1,-2))))
%o A350349     return a
%Y A350349 Cf. A350330, A350348, A350350.
%K A350349 nonn
%O A350349 1,2
%A A350349 _Pontus von Brömssen_, Dec 26 2021