|
| |
| |
|
|
|
1, 26, 676, 17576, 456976, 11881376, 308915776, 8031810176, 208827064576, 5429503678976, 141167095653376, 3670344486987776, 95428956661682176, 2481152873203736576, 64509974703297150976, 1677259342285725925376, 43608742899428874059776, 1133827315385150725554176, 29479510200013918864408576, 766467265200361890474622976, 19928148895209409152340197376
(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 26-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/(1-26*x). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
|
|
|
EXAMPLE
| E.g.f.: exp(26*x) . [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2009]
a(n)=26^n; a(n)=26*a(n-1) n>0 a(0)=1 [From Vincenzo Librandi, Nov 21 2010]
|
|
|
PROG
| (Other) sage: [lucas_number1(n, 26, 0) for n in xrange(1, 17)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2009]
(MAGMA)[26^n: n in [0..100]] [From Vincenzo Librandi, Nov 21 2010]
|
|
|
CROSSREFS
| Sequence in context: A171300 A188697 A188696 * A041313 A042302 A097835
Adjacent sequences: A009967 A009968 A009969 * A009971 A009972 A009973
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
