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.

A028565 Palindromes of form k*(k+7).

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%I A028565 #14 Dec 17 2024 15:23:06
%S A028565 0,8,44,494,858,49494,445544,819918,4462644,8853588,8913198,81099018,
%T A028565 441525144,882060288,8100990018,44105250144,49781418794,85831713858,
%U A028565 447597795744,810009900018,889249942988,4410052500144,4450696960544,4927434347294,80512566521508,81000099000018
%N A028565 Palindromes of form k*(k+7).
%H A028565 Michael S. Branicky, <a href="/A028565/b028565.txt">Table of n, a(n) for n = 1..49</a>
%H A028565 Patrick De Geest, <a href="http://www.worldofnumbers.com/consemor.htm">Palindromic Quasipronics of the form n(n+x)</a>
%F A028565 a(n) = A028564(n) * (A028564(n) + 7). - _Michael S. Branicky_, Jan 26 2022
%t A028565 Select[Table[k(k+7),{k,0,9000100}],PalindromeQ] (* _Harvey P. Dale_, Dec 17 2024 *)
%o A028565 (Python)
%o A028565 from itertools import count, islice
%o A028565 def ispal(n): s = str(n); return s == s[::-1]
%o A028565 def agen():
%o A028565     for k in count(0):
%o A028565         if ispal(k*(k+7)):
%o A028565             yield k*(k+7)
%o A028565 print(list(islice(agen(), 28))) # _Michael S. Branicky_, Jan 26 2022
%Y A028565 Cf. A028563, A028564.
%K A028565 nonn,base
%O A028565 1,2
%A A028565 _Patrick De Geest_
%E A028565 a(23) and beyond from _Michael S. Branicky_, Jan 26 2022