A094621 Expansion of x*(11+13*x+20*x^2) / ( (x-1)*(1+x)*(10*x^2-1) ).

0, 11, 13, 141, 143, 1441, 1443, 14441, 14443, 144441, 144443, 1444441, 1444443, 14444441, 14444443, 144444441, 144444443, 1444444441, 1444444443, 14444444441, 14444444443, 144444444441, 144444444443, 1444444444441

Offset

0,2

Comments

Digits are reversals of A094622.

Previous name was: Sequence whose n-th term's digits sum to 2n.

Links

Table of n, a(n) for n=0..23.

Index entries for linear recurrences with constant coefficients, signature (0,11,0,-10).

Formula

a(n) = 10^(n/2)*((11*sqrt(10)/20 - 1) + (13/18 - 13*sqrt(10)/18)*(-1)^n + 31*sqrt(10)/180 + 31/18) + (-1)^n - 22/9.

G.f.: x*(11+13*x+20*x^2) / ( (x-1)*(1+x)*(10*x^2-1) ). - R. J. Mathar, Nov 27 2014

Mathematica

LinearRecurrence[{0, 11, 0, -10}, {0, 11, 13, 141}, 30] (* Harvey P. Dale, Nov 12 2017 *)

Crossrefs

Cf. A094620, A094622.

Sequence in context: A086549 A108090 A136296 * A178426 A252170 A366718

Adjacent sequences: A094618 A094619 A094620 * A094622 A094623 A094624

Keyword

easy,nonn,base

Author

Paul Barry, May 15 2004

Status

approved