Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A056002
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A056002 a(n)=[(10)^2]*11^(n-2); a(0)=1, a(1)=9. +0
2
1, 9, 100, 1100, 12100, 133100, 1464100, 16105100, 177156100, 1948717100, 21435888100, 235794769100, 2593742460100, 28531167061100, 313842837672100, 3452271214393100, 37974983358324100, 417724816941565100 (list; graph; listen)
OFFSET

0,2

COMMENT

For n>=2, a(n) is equal to the number of functions f:{1,2,...,n}->{1,2,3,4,5,6,7,8,9,10,11} such that for fixed, different x_1, x_2 in {1,2,...,n} and fixed y_1, y_2 in {1,2,3,4,5,6,7,8,9,10,11} we have f(x_1)<>y_1 and f(x_2)<> y_2. - Milan R. Janjic (agnus(AT)blic.net), Apr 19 2007

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pps. 194-196.

LINKS

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

FORMULA

a(n)=11a(n-1)+[(-1)^n]*C(2, 2-n). G.f.(x)=(1-x)^2/(1-11x).

CROSSREFS

Cf. A001020.

Sequence in context: A027769 A065736 A092936 this_sequence A060150 A103461 A101563

Adjacent sequences: A055999 A056000 A056001 this_sequence A056003 A056004 A056005

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Jun 18 2000

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 04 2000

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


AT&T Labs Research