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A009986 Powers of 42. 4
1, 42, 1764, 74088, 3111696, 130691232, 5489031744, 230539333248, 9682651996416, 406671383849472, 17080198121677824, 717368321110468608, 30129469486639681536, 1265437718438866624512, 53148384174432398229504 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Same as Pisot sequences E(1, 42), L(1, 42), P(1, 42), T(1, 42). Essentially same as Pisot sequences E(42, 1764), L(42, 1764), P(42, 1764), T(42, 1764). 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 42-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011
LINKS
Tanya Khovanova, Recursive Sequences
FORMULA
G.f.: 1/(1-42*x). - Philippe Deléham, Nov 24 2008
a(n) = 42^n; a(n) = 42*a(n-1), a(0)=1. - Vincenzo Librandi, Nov 21 2010
MATHEMATICA
42^Range[0, 14] (* Michael De Vlieger, Jan 13 2018 *)
PROG
(Magma)[42^n: n in [0..20]] // Vincenzo Librandi, Nov 21 2010
(PARI) a(n) = 42^n; \\ Michel Marcus, Jan 14 2018
CROSSREFS
Sequence in context: A208368 A207716 A208077 * A041841 A236270 A216703
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified April 13 19:06 EDT 2024. Contains 371644 sequences. (Running on oeis4.)