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 A011557 Powers of 10: a(n) = 10^n. 310
 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000, 100000000000, 1000000000000, 10000000000000, 100000000000000, 1000000000000000, 10000000000000000, 100000000000000000, 1000000000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Same as Pisot sequences E(1,10), L(1,10), P(1,10), T(1,10). See A008776 for definitions of Pisot sequences. Same as n^(n-1) in base n. - Dominick Cancilla, Aug 02 2010 The compositions of n in which each natural number is colored by one of p different colors are called p-colored compositions of n. For n >= 1, a(n) equals the number of 10-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011 Smallest n+1 digit number greater than 0 (with offset 0). - Wesley Ivan Hurt, Jan 17 2014 Numbers with digit sum = 1, or, A007953(a(n)) = 1. - Reinhard Zumkeller, Jul 17 2014 Does not satisfy Benford's law. - N. J. A. Sloane, Feb 14 2017 REFERENCES Philip Morrison et al., Powers of Ten, Scientific American Press, 1982 and later editions. S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55. LINKS T. D. Noe, Table of n, a(n) for n = 0..100 Kees Boeke, Cosmic View: The Universe in 40 Jumps (1957) [The original "powers of ten" book] P. J. Cameron, Sequences realized by oligomorphic permutation groups, J. Integ. Seqs. Vol. 3 (2000), #00.1.5. Charles and Ray Eames, Powers of Ten Tanya Khovanova, Recursive Sequences Robert Price, Comments on A011557 concerning Elementary Cellular Automata, Feb 21 2016 Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1. Science, Optics and You, Secret Worlds: The Universe Within [Powers of Ten] Eric Weisstein's World of Mathematics, 10 Eric Weisstein's World of Mathematics, Digitaddition Eric Weisstein's World of Mathematics, Elementary Cellular Automaton Wikipedia, Powers of Ten S. Wolfram, A New Kind of Science Index entries for linear recurrences with constant coefficients, signature (10). FORMULA a(n) = 10^n. a(n) = 10*a(n-1). G.f.: 1/(1-10*x). E.g.f.: exp(10*x). A000005(a(n)) = A000290(n+1). - Reinhard Zumkeller, Mar 04 2007 a(n) = 60^n/6^n = A159991(n)/A000400(n). - Reinhard Zumkeller, May 02 2009 a(n) = A178501(n+1); for n > 0: a(n) = A178500(n). - Reinhard Zumkeller, May 28 2010 MAPLE A011557:=n->10^n; seq(A011557(n), n=0..40); # Wesley Ivan Hurt, Jan 17 2014 MATHEMATICA Table[10^n, {n, 0, 40}] (* Vladimir Joseph Stephan Orlovsky, Feb 15 2011 *) PROG (PARI) a(n)=10^n \\ Charles R Greathouse IV, Jun 15 2011 (Haskell) a011557 = (10 ^) a011557_list = iterate (* 10) 1 -- Reinhard Zumkeller, Jul 05 2013, Feb 05 2012 (Maxima) A011557(n):=10^n\$ makelist(A011557(n), n, 0, 30); /* Martin Ettl, Nov 05 2012 */ CROSSREFS Cf. A242614. Cf. A178501: this sequence with 0 prefixed. Row 5 of A329332. Sequence in context: A135655 A178500 A178501 * A138825 A290664 A290545 Adjacent sequences:  A011554 A011555 A011556 * A011558 A011559 A011560 KEYWORD nonn,easy,nice AUTHOR EXTENSIONS Links to "Powers of Ten" books and videos added by N. J. A. Sloane, Nov 07 2009 STATUS approved

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Last modified October 21 11:51 EDT 2020. Contains 337914 sequences. (Running on oeis4.)