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A247267 Square numbers not divisible by 100 that remain square when their most-significant (or leftmost) digit is removed. 2

%I #23 Nov 04 2014 03:36:53

%S 1,4,9,49,64,81,225,625,1225,2025,3025,4225,5625,7225,9025,15625,

%T 27225,30625,34225,42025,50625,60025,70225,75625,81225,93025,105625,

%U 275625,330625,600625,893025,950625,970225,1050625,2030625,3330625,4950625,9455625,9765625,15405625

%N Square numbers not divisible by 100 that remain square when their most-significant (or leftmost) digit is removed.

%C Subsequence of A225885. It is easy to see that the multiples of 100 in A225885 are earlier entries of the sequence multiplied by 100, so this sequence removes this redundancy in some sense. It appears that all entries in A225885 after the first 3 entries ends in either 25 or 00, so this sequence appears to end in 25 after the first 3 entries.

%H Chai Wah Wu, <a href="/A247267/b247267.txt">Table of n, a(n) for n = 1..1185</a>

%o (PARI) for(n=10,10^6,if(n%100,if(issquare(n)&&issquare(n%(10^(#Str(n)-1))),print1(n,", ")))) \\ _Derek Orr_, Nov 01 2014

%Y Cf. A225885, A247885. A249587.

%K nonn,base

%O 1,2

%A _Chai Wah Wu_, Nov 01 2014

%E Added 1, 4, 9 to sequence to match A225885 - _Chai Wah Wu_, Nov 03 2014

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Last modified April 18 08:27 EDT 2024. Contains 371769 sequences. (Running on oeis4.)