login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A009979 Powers of 35. 3
1, 35, 1225, 42875, 1500625, 52521875, 1838265625, 64339296875, 2251875390625, 78815638671875, 2758547353515625, 96549157373046875, 3379220508056640625, 118272717781982421875, 4139545122369384765625 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

If X_1, X_2, ..., X_n is a partition of the set {1,2,...,2*n} into blocks of size 2 then, for n>=1, a(n) is equal to the number of functions f : {1,2,..., 2*n}->{1,2,3,4,5,6} such that for fixed y_1,y_2,...,y_n in {1,2,3,4,5,6} we have f(X_i)<>{y_i}, (i=1,2,...,n). - Milan Janjic, May 24 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 35-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

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (35).

FORMULA

G.f.: 1/(1-35*x). [From Philippe Deléham, Nov 24 2008]

a(n)=35^n; a(n)=35*a(n-1) n>0 a(0)=1 [From Vincenzo Librandi, Nov 21 2010]

MATHEMATICA

35^Range[0, 15] (* Harvey P. Dale, Sep 10 2011 *)

PROG

(MAGMA)[35^n: n in [0..100]] [From Vincenzo Librandi, Nov 21 2010]

CROSSREFS

Sequence in context: A223989 A224387 A224020 * A238379 A158733 A029560

Adjacent sequences:  A009976 A009977 A009978 * A009980 A009981 A009982

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified March 25 15:14 EDT 2017. Contains 284082 sequences.