|
| |
|
|
A109242
|
|
Expansion of 1/((1-x)(1-10x)(1-100x)).
|
|
3
|
|
|
|
1, 111, 11211, 1122211, 112232211, 11223332211, 1122334332211, 112233444332211, 11223344544332211, 1122334455544332211, 112233445565544332211, 11223344556665544332211
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
COMMENTS
|
Partial sums of A109241.
|
|
|
LINKS
|
Table of n, a(n) for n=0..11.
Index to sequences with linear recurrences with constant coefficients, signature (111,-1110,1000).
|
|
|
FORMULA
|
a(n)=10^(2n+3)/891-10^(n+1)/81+1/891; a(n)=111a(n-1)-1110a(n-2)+1000a(n-3).
a(n) = 110*a(n-1) -1000*a(n-2) +1, n>=2 - Vincenzo Librandi, Mar 18 2011
|
|
|
EXAMPLE
|
The numbers of 1's, 2's, 3's etc. appearing occur according to
1:1,3,4,4,4,4,4,4...
2:0,0,1,3,4,4,4,4...
3:0,0,0,0,1,3,4,4,..
4:0,0,0,0,0,0,1,3,... etc. up to term 17, where 9->10 etc. changes the pattern.
|
|
|
PROG
|
(Sage) [gaussian_binomial(n, 2, 10) for n in xrange(2, 14)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 27 2009]
|
|
|
CROSSREFS
|
Sequence in context: A100706 A111864 A098034 * A165155 A078270 A172175
Adjacent sequences: A109239 A109240 A109241 * A109243 A109244 A109245
|
|
|
KEYWORD
|
easy,nonn
|
|
|
AUTHOR
|
Paul Barry, Jun 23 2005
|
|
|
STATUS
|
approved
|
| |
|
|
