A135403 a(n) = 1 + 111110*n.

1, 111111, 222221, 333331, 444441, 555551, 666661, 777771, 888881, 999991, 1111101, 1222211, 1333321, 1444431, 1555541, 1666651, 1777761, 1888871, 1999981, 2111091, 2222201, 2333311, 2444421, 2555531, 2666641, 2777751, 2888861, 2999971, 3111081, 3222191

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

From G. C. Greubel, Oct 12 2016: (Start)

G.f.: (1 + 111109*x)/(1 - x)^2.

E.g.f.: (1 + 111110*x)*exp(x).

a(n) = 2*a(n-1) - a(n-2). (End)

Mathematica

1+111110*Range[0, 30] (* Harvey P. Dale, Sep 21 2012 *)
LinearRecurrence[{2, -1}, {1, 111111}, 25] (* G. C. Greubel, Oct 12 2016 *)

Crossrefs

Sequence in context: A223110 A094325 A171725 * A154549 A038448 A097077

Adjacent sequences: A135400 A135401 A135402 * A135404 A135405 A135406

Keyword

nonn,easy

Author

Dohong Kim 20710847 (upossss(AT)naver.com), Dec 11 2007

Extensions

a(12) and a(13) corrected by T. D. Noe, Mar 14 2008

More terms from Harvey P. Dale, Sep 21 2012

Status

approved