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A009990 Powers of 46. 3
1, 46, 2116, 97336, 4477456, 205962976, 9474296896, 435817657216, 20047612231936, 922190162669056, 42420747482776576, 1951354384207722496, 89762301673555234816, 4129065876983540801536, 189937030341242876870656 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Same as Pisot sequences E(1, 46), L(1, 46), P(1, 46), T(1, 46). Essentially same as Pisot sequences E(46, 2116), L(46, 2116), P(46, 2116), T(46, 2116). 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 46-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/(1-46*x). - Philippe Deléham, Nov 24 2008
a(n) = 46^n; a(n) = 46*a(n-1), a(0)=1. - Vincenzo Librandi, Nov 21 2010
MATHEMATICA
46^Range[0, 20] (* or *) NestList[46#&, 1, 20] (* Harvey P. Dale, Jan 15 2017 *)
PROG
(Magma)[46^n: n in [0..20]] // Vincenzo Librandi, Nov 21 2010
CROSSREFS
Sequence in context: A223785 A264525 A223971 * A042013 A333718 A234153
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 29 09:32 EDT 2024. Contains 371268 sequences. (Running on oeis4.)