A009988 Powers of 44.

1, 44, 1936, 85184, 3748096, 164916224, 7256313856, 319277809664, 14048223625216, 618121839509504, 27197360938418176, 1196683881290399744, 52654090776777588736, 2316779994178213904384, 101938319743841411792896

Offset

0,2

Comments

Same as Pisot sequences E(1, 44), L(1, 44), P(1, 44), T(1, 44). Essentially same as Pisot sequences E(44, 1936), L(44, 1936), P(44, 1936), T(44, 1936). 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 44-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

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (44).

Formula

G.f.: 1/(1-44*x). - Philippe Deléham, Nov 24 2008

a(n) = 44^n; a(n) = 44*a(n-1), a(0)=1. - Vincenzo Librandi, Nov 21 2010

Mathematica

44^Range[0, 20] (* Harvey P. Dale, May 22 2017 *)

Prog

(Magma)[44^n: n in [0..20]] // Vincenzo Librandi, Nov 21 2010

Crossrefs

Sequence in context: A207180 A188751 A188871 * A041925 A094506 A121008

Adjacent sequences: A009985 A009986 A009987 * A009989 A009990 A009991

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved