OFFSET

0,2

COMMENTS

Same as Pisot sequences E(1, 34), L(1, 34), P(1, 34), T(1, 34). Essentially same as Pisot sequences E(34, 1156), L(34, 1156), P(34, 1156), T(34, 1156). 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 34-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 (34).

FORMULA

G.f.: 1/(1-34*x). - Philippe Deléham, Nov 24 2008

a(n) = 34^n; a(n) = 34*a(n-1), n > 0; a(0)=1. - Vincenzo Librandi, Nov 21 2010

PROG

(Magma) [34^n: n in [0..100]] // Vincenzo Librandi, Nov 21 2010

CROSSREFS

KEYWORD

nonn,easy

AUTHOR

STATUS

approved