|
| |
| |
|
|
|
1, 37, 1369, 50653, 1874161, 69343957, 2565726409, 94931877133, 3512479453921, 129961739795077, 4808584372417849, 177917621779460413, 6582952005840035281, 243569224216081305397, 9012061295995008299689
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
COMMENTS
|
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 37-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011
|
|
|
REFERENCES
|
C. W. Trigg, The Powers of 37, Journal of Recreational Mathematics, Vol. 12:3 (1979-80), 186-191.
|
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=0..100
Tanya Khovanova, Recursive Sequences
|
|
|
FORMULA
|
G.f.: 1/(1-37*x). [From Philippe DELEHAM, Nov 24 2008]
a(n)=37^n; a(n)=37*a(n-1) n>0 a(0)=1 [From Vincenzo Librandi, Nov 21 2010]
|
|
|
PROG
|
(MAGMA)[37^n: n in [0..20]] [From Vincenzo Librandi, Nov 21 2010]
|
|
|
CROSSREFS
|
Sequence in context: A188771 A207185 A189061 * A097315 A158741 A094490
Adjacent sequences: A009978 A009979 A009980 * A009982 A009983 A009984
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
EXTENSIONS
|
Reference added by William Rex Marshall, Nov 13 2010
|
|
|
STATUS
|
approved
|
| |
|
|
