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 A165800 Powers of 50. 5
 1, 50, 2500, 125000, 6250000, 312500000, 15625000000, 781250000000, 39062500000000, 1953125000000000, 97656250000000000, 4882812500000000000, 244140625000000000000, 12207031250000000000000, 610351562500000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) = 50^n. 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 50-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011 LINKS T. D. Noe, Table of n, a(n) for n = 0..100 Index entries for linear recurrences with constant coefficients, signature (50). FORMULA G.f.: 1/(1-50*x). a(n) = 50^n; a(n) = 50*a(n-1) a(0)=1. - Vincenzo Librandi, Nov 21 2010 From G. C. Greubel, Apr 08 2016: (Start) a(n) = 2^n * 5^(2n) = A000079(n)*(A000351(n))^2. a(n) = 5^n * 10^n = A000351(n)*A011557(n). (End) PROG (MAGMA) [50^n: n in [0..20]] // Vincenzo Librandi, Nov 21 2010 (Maxima) A165800(n):=50^n\$ makelist(A165800(n), n, 0, 30); /* Martin Ettl, Nov 06 2012 */ (PARI) a(n)=50^n \\ Charles R Greathouse IV, Jun 19 2015 (PARI) powers(50, 8) \\ Charles R Greathouse IV, Jun 19 2015 CROSSREFS Cf. A000079, A000351, A011557. Sequence in context: A223845 A223871 A223796 * A042201 A097838 A203842 Adjacent sequences:  A165797 A165798 A165799 * A165801 A165802 A165803 KEYWORD nonn,easy AUTHOR Jaroslav Krizek, Sep 27 2009 STATUS approved

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Last modified November 18 02:06 EST 2019. Contains 329242 sequences. (Running on oeis4.)