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URL: https://oeis.org/A098608

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A098608
a(n) = 100^n.
15
1, 100, 10000, 1000000, 100000000, 10000000000, 1000000000000, 100000000000000, 10000000000000000, 1000000000000000000, 100000000000000000000, 10000000000000000000000, 1000000000000000000000000, 100000000000000000000000000, 10000000000000000000000000000, 1000000000000000000000000000000
OFFSET
0,2
COMMENTS
For any base B, these are the numbers (B^2)^n written in base B. - Philippe Deléham, Jan 06 2008
Conjecture: a(n) are the only positive squares (in base 10) with digits in {0,1}. - Manfred Boergens, Feb 10 2025
REFERENCES
Stephen Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
FORMULA
a(n) = 100*a(n-1) = A011557(2n) = A098609(n) + 1.
G.f.: 1/(1-100x).
E.g.f.: exp(100*x). - Stefano Spezia, Aug 05 2024
MATHEMATICA
LinearRecurrence[{100}, {1}, 12] (* Ray Chandler, Aug 17 2015 *)
NestList[100#&, 1, 20] (* Harvey P. Dale, Dec 28 2018 *)
CROSSREFS
Sequence in context: A181412 A029794 A029801 * A045799 A096885 A267449
KEYWORD
easy,nonn
AUTHOR
Henry Bottomley, Sep 17 2004
EXTENSIONS
a(12)-a(15) from Stefano Spezia, Aug 05 2024
STATUS
approved