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.

A082247 Multiples of 7 that are concatenation of 7 consecutive natural numbers.

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%I A082247 #9 Jan 15 2022 21:54:26
%S A082247 3456789,13141516171819,20212223242526,27282930313233,34353637383940,
%T A082247 41424344454647,48495051525354,55565758596061,62636465666768,
%U A082247 69707172737475,76777879808182,83848586878889,90919293949596,102103104105106107108,109110111112113114115
%N A082247 Multiples of 7 that are concatenation of 7 consecutive natural numbers.
%C A082247 From 2nd terms onwards it is observed that if a(r) ends in k then a(r+1) begins with k+1. This is true up to the term 90919293949596. (Why?)
%H A082247 Harvey P. Dale, <a href="/A082247/b082247.txt">Table of n, a(n) for n = 1..1000</a>
%t A082247 Select[FromDigits[Flatten[IntegerDigits[#]]]&/@Partition[Range[100],7,1],Divisible[ #,7]&] (* _Harvey P. Dale_, May 18 2021 *)
%Y A082247 Cf. A082242, A082243, A082248.
%K A082247 base,easy,nonn
%O A082247 1,1
%A A082247 _Amarnath Murthy_, Apr 11 2003