A009977 Powers of 33.

1, 33, 1089, 35937, 1185921, 39135393, 1291467969, 42618442977, 1406408618241, 46411484401953, 1531578985264449, 50542106513726817, 1667889514952984961, 55040353993448503713, 1816331681783800622529

Offset

0,2

Comments

Same as Pisot sequences E(1, 33), L(1, 33), P(1, 33), T(1, 33). Essentially same as Pisot sequences E(33, 1089), L(33, 1089), P(33, 1089), T(33, 1089). 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 33-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 (33).

Formula

G.f.: 1/(1-33*x). - Philippe Deléham, Nov 24 2008

a(n) = 33^n; a(n) = 33*a(n-1), n > 0; a(0)=1. - Vincenzo Librandi, Nov 21 2010

Prog

(Magma) [33^n: n in [0..100]] // Vincenzo Librandi, Nov 21 2010

Crossrefs

Sequence in context: A207092 A188989 A189199 * A371760 A293693 A187539

Adjacent sequences: A009974 A009975 A009976 * A009978 A009979 A009980

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved