|
|
A052245
|
|
Expansion of 10*x / ((1 - x) * (1 - 10*x)^2) in powers of x.
|
|
1
|
|
|
0, 10, 210, 3210, 43210, 543210, 6543210, 76543210, 876543210, 9876543210, 109876543210, 1209876543210, 13209876543210, 143209876543210, 1543209876543210, 16543209876543210, 176543209876543210, 1876543209876543210, 19876543209876543210, 209876543209876543210
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
a(n) = n*10^n+a(n-1), a(0) = 0; a(n) = ((9n-1)*10^n + 1) * 10 / 81; a(n) = A014925(n)*10.
a(n) = 21*a(n-1)-120*a(n-2)+100*a(n-3). - Colin Barker, Sep 13 2014
G.f.: -10*x / ((x-1)*(10*x-1)^2). - Colin Barker, Sep 13 2014
|
|
MAPLE
|
a:=n->sum((10^(n-j)*(n-j)), j=0..n): seq(a(n), n=0..16); # Zerinvary Lajos, Jun 05 2008
|
|
PROG
|
(PARI) concat(0, Vec(-10*x/((x-1)*(10*x-1)^2) + O(x^100))) \\ Colin Barker, Sep 13 2014
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|