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 A009982 Powers of 38. 3
 1, 38, 1444, 54872, 2085136, 79235168, 3010936384, 114415582592, 4347792138496, 165216101262848, 6278211847988224, 238572050223552512, 9065737908494995456, 344498040522809827328, 13090925539866773438464, 497455170514937390661632 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Same as Pisot sequences E(1, 38), L(1, 38), P(1, 38), T(1, 38). Essentially same as Pisot sequences E(38, 1444), L(38, 1444), P(38, 1444), T(38, 1444). 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 38-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011. [See A000244 for a proof.] 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 (38). FORMULA G.f.: 1/(1 - 38*x). - Philippe Deléham, Nov 24 2008 a(n) = 38^n; a(n) = 38 * a(n-1), n > 0, a(0) = 1. - Vincenzo Librandi, Nov 21 2010 MATHEMATICA 38^Range[0, 19] (* Alonso del Arte, Feb 18 2017 *) PROG (Magma) [38^n: n in [0..20]] // Vincenzo Librandi, Nov 21 2010 (PARI) a(n)=38^n \\ M. F. Hasler, Feb 21 2017 CROSSREFS Cf. A000244 (powers of 3). Sequence in context: A158702 A239364 A078987 * A041685 A221385 A158766 Adjacent sequences: A009979 A009980 A009981 * A009983 A009984 A009985 KEYWORD nonn,easy AUTHOR N. J. A. Sloane. STATUS approved

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Last modified September 10 23:44 EDT 2024. Contains 375795 sequences. (Running on oeis4.)