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 A009973 Powers of 29. 42
 1, 29, 841, 24389, 707281, 20511149, 594823321, 17249876309, 500246412961, 14507145975869, 420707233300201, 12200509765705829, 353814783205469041, 10260628712958602189, 297558232675799463481, 8629188747598184440949 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Same as Pisot sequences E(1, 29), L(1, 29), P(1, 29), T(1, 29). Essentially same as Pisot sequences E(29, 841), L(29, 841), P(29, 841), T(29, 841). See A008776 for definitions of Pisot sequences. 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 29-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011 Numbers n such that sigma(29*n) = 29*n + sigma(n). - Jahangeer Kholdi, Nov 23 2013 LINKS T. D. Noe, Table of n, a(n) for n = 0..100 Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (29). FORMULA G.f.: 1/(1-29*x). - Philippe Deléham, Nov 24 2008 a(n) = 29^n; a(n) = 29*a(n-1) for n>0, a(0)=1. - Vincenzo Librandi, Nov 21 2010 G.f.: (G(0)-2)/(9*x), where G(k)= 1 + 1/(1 - x*(9*k-9)/(x*(9*k+20) - 2/G(k+1))); (continued fraction). - Sergei N. Gladkovskii, Jun 17 2013 MAPLE A009973:=n->29^n; seq(A009973(n), n=0..20); # Wesley Ivan Hurt, Jun 06 2014 MATHEMATICA 29^Range[0, 20] (* Harvey P. Dale, Jul 19 2011 *) PROG (Sage) [29^n for n in (1..17)] # Zerinvary Lajos, Apr 29 2009 (Magma) [29^n: n in [0..30]]; // Vincenzo Librandi, Nov 21 2010 (Maxima) makelist(29^n, n, 0, 30); /* Martin Ettl, Nov 07 2012 */ (PARI) a(n)=29^n \\ Charles R Greathouse IV, Sep 24 2015 CROSSREFS Sequence in context: A223679 A171303 A262337 * A278475 A057687 A049667 Adjacent sequences: A009970 A009971 A009972 * A009974 A009975 A009976 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Dec 11 1996 STATUS approved

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Last modified June 14 21:31 EDT 2024. Contains 373401 sequences. (Running on oeis4.)