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.

A105314 Write the natural numbers as an infinite sequence of digits, starting at the left; a(n) is the subset (i.e., the position in this sequence of the "counting digits") of the first digit of the n-th square.

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%I A105314 #11 Jul 27 2017 03:07:36
%S A105314 1,4,9,22,40,62,88,118,152,190,253,322,397,478,565,658,757,862,973,
%T A105314 1090,1213,1342,1477,1618,1765,1918,2077,2242,2413,2590,2773,2986,
%U A105314 3246,3514,3790,4074,4366,4666,4974,5290,5614,5946,6286,6634,6990,7354,7726,8106
%N A105314 Write the natural numbers as an infinite sequence of digits, starting at the left; a(n) is the subset (i.e., the position in this sequence of the "counting digits") of the first digit of the n-th square.
%e A105314 integers  : 1234567891011121314151617...
%e A105314 1st digit : x  x    x            x
%e A105314 positions : 1  4    9           22
%o A105314 (PARI) a(n) = 1+ sum(k=1, n^2-1, #digits(k)); \\ _Michel Marcus_, Jul 27 2017
%Y A105314 Cf. A103575.
%K A105314 base,easy,nonn
%O A105314 1,2
%A A105314 _Alexandre Wajnberg_, Apr 25 2005
%E A105314 More terms from _Joshua Zucker_, Jun 21 2006