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A052245 Expansion of 10*x / ((1 - x) * (1 - 10*x)^2) in powers of x. 0
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

This is not the same as A052246. They differ at a(11) and beyond. - Michael Somos, Sep 14 2014

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (21,-120,100).

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

seq(sum(x*10^x, x=0..a), a=0..100); # Jorge Coveiro, Dec 22 2004

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

Cf. A014925, A052246.

Sequence in context: A069863 A160476 A067642 * A052246 A001450 A076803

Adjacent sequences:  A052242 A052243 A052244 * A052246 A052247 A052248

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley, Feb 01 2000

EXTENSIONS

More terms from Colin Barker, Sep 13 2014

STATUS

approved

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Last modified September 15 22:10 EDT 2019. Contains 327088 sequences. (Running on oeis4.)