|
| |
| |
|
|
|
1, 25, 625, 15625, 390625, 9765625, 244140625, 6103515625, 152587890625, 3814697265625, 95367431640625, 2384185791015625, 59604644775390625, 1490116119384765625, 37252902984619140625, 931322574615478515625, 23283064365386962890625, 582076609134674072265625, 14551915228366851806640625, 363797880709171295166015625, 9094947017729282379150390625
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| A000005(a(n)) = A005408(n+1). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 04 2007
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 25-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/(1-25*x). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
E.g.f.: exp(25*x) [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2009]
a(n)=25^n; a(n)=25*a(n-1) n>0 a(0)=1 [From Vincenzo Librandi, Nov 21 2010]
|
|
|
PROG
| (Other) sage: [lucas_number1(n, 25, 0) for n in xrange(1, 17)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2009]
(MAGMA)[25^n: n in [0..100]] [From Vincenzo Librandi, Nov 21 2010]
|
|
|
CROSSREFS
| Sequence in context: A206952 A206729 A171299 * A042202 A203341 A152256
Adjacent sequences: A009966 A009967 A009968 * A009970 A009971 A009972
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
