|
| |
| |
|
|
|
1, 43, 1849, 79507, 3418801, 147008443, 6321363049, 271818611107, 11688200277601, 502592611936843, 21611482313284249, 929293739471222707, 39959630797262576401, 1718264124282290785243, 73885357344138503765449
(list; graph; refs; listen; history; 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 43-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
|
|
|
FORMULA
| G.f.: 1/(1-43*x). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 24 2008]
a(n)=43^n; a(n)=43*a(n-1) a(0)=1 [From Vincenzo Librandi, Nov 21 2010]
|
|
|
CROSSREFS
| (MAGMA)[43^n: n in [0..20]] [From Vincenzo Librandi, Nov 21 2010]
Sequence in context: A170676 A170724 A170762 * A076572 A015258 A130014
Adjacent sequences: A009984 A009985 A009986 * A009988 A009989 A009990
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|