%I A011557
%S A011557 1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000,
%T A011557 10000000000,100000000000,1000000000000,10000000000000,100000000000000,
%U A011557 1000000000000000,10000000000000000,100000000000000000,1000000000000000000
%N A011557 Powers of 10.
%C A011557 Same as Pisot sequences E(1,10), L(1,10), P(1,10), T(1,10). See A008776 
               for definitions of Pisot sequences.
%C A011557 With a leading zero, this is (10^n-0^n)/10, with e.g.f. exp(5x)sinh(5x)/
               5. This is the binomial transform of A015577. - Paul Barry (pbarry(AT)wit.ie), 
               Jul 09 2003
%C A011557 A000005(a(n)) = A000290(n+1). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Mar 04 2007
%C A011557 With a different offset, number of n-permutations (n>=0) of 11 objects: 
               p, q, r, s, t, u, v, w, z, x, y with repetition allowed, containing 
               exactly zero (0) or free u's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jul 15 2008
%C A011557 a(n) = sequence A000079(n) written in base 2: (n+1)times 1 and n times 
               0. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Aug 02 2009]
%D A011557 Philip Morrison et al., Powers of Ten, Scientific American Press, 1982 
               and later editions.
%H A011557 T. D. Noe, <a href="b011557.txt">Table of n, a(n) for n=0..100</a>
%H A011557 Kees Boeke, <a href="http://www.vendian.org/mncharity/cosmicview/">Cosmic 
               View: The Universe in 40 Jumps (1957)</a> [The original "powers of 
               ten" book]
%H A011557 P. J. Cameron, <a href="http://www.cs.uwaterloo.ca/journals/JIS/index.html">
               Sequences realized by oligomorphic permutation groups</a>, J. Integ. 
               Seqs. Vol. 3 (2000), #00.1.5.
%H A011557 Charles and Ray Eames, <a href="http://www.youtube.com/watch?v=1Z53wTtGGA0">
               Powers of Ten</a>
%H A011557 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%H A011557 Y. Puri and T. Ward, <a href="http://www.cs.uwaterloo.ca/journals/JIS/
               index.html">Arithmetic and growth of periodic orbits</a>, J. Integer 
               Seqs., Vol. 4 (2001), #01.2.1.
%H A011557 Science, Optics and You, <a href="http://micro.magnet.fsu.edu/primer/
               java/scienceopticsu/powersof10/">Secret Worlds: The Universe Within</
               a> [Powers of Ten]
%H A011557 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               10.html">Link to a section of The World of Mathematics.</a>
%H A011557 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Digitaddition.html">Link to a section of The World of Mathematics.</
               a>
%H A011557 Wikipedia, <a href="http://en.wikipedia.org/wiki/Powers_of_Ten">Powers 
               of Ten</a>
%H A011557 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%F A011557 a(n) = 10^n; a(n) = 10*a(n-1).
%F A011557 G.f.: 1/(1-10x), e.g.f.: exp(10x)
%p A011557 with(finance):seq(futurevalue(1,9,n), n=0..18);# [From Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Mar 25 2009]
%Y A011557 a(n) = A159991(n)/A000400(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               May 02 2009]
%Y A011557 Sequence in context: A086067 A136873 A135655 this_sequence A138825 A138824 
               A138823
%Y A011557 Adjacent sequences: A011554 A011555 A011556 this_sequence A011558 A011559 
               A011560
%K A011557 nonn,easy,nice
%O A011557 0,2
%A A011557 N. J. A. Sloane (njas(AT)research.att.com).
%E A011557 Links to "Powers of Ten" books and videos added by N. J. A. Sloane, Nov 
               07 2009