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a(n) = 100^n.
12

%I #19 Aug 05 2024 20:37:08

%S 1,100,10000,1000000,100000000,10000000000,1000000000000,

%T 100000000000000,10000000000000000,1000000000000000000,

%U 100000000000000000000,10000000000000000000000,1000000000000000000000000,100000000000000000000000000,10000000000000000000000000000,1000000000000000000000000000000

%N a(n) = 100^n.

%C For any base B, these are the numbers (B^2)^n written in base B. - _Philippe Deléham_, Jan 06 2008

%D S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>.

%H Robert Price, <a href="/A098608/a098608.txt">Comments on A098608 concerning Elementary Cellular Automata, Feb 20 2016</a>.

%H S. Wolfram, <a href="http://wolframscience.com/">A New Kind of Science</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (100).

%H <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>

%H <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>

%F a(n) = 100*a(n-1) = A011557(2n) = A098609(n) + 1.

%F G.f.: 1/(1-100x).

%F E.g.f.: exp(100*x). - _Stefano Spezia_, Aug 05 2024

%t LinearRecurrence[{100},{1},12] (* _Ray Chandler_, Aug 17 2015 *)

%t NestList[100#&,1,20] (* _Harvey P. Dale_, Dec 28 2018 *)

%Y Cf. A011557, A098609.

%K easy,nonn

%O 0,2

%A _Henry Bottomley_, Sep 17 2004

%E a(12)-a(15) from _Stefano Spezia_, Aug 05 2024