A179477 Antonym of A014824: each term is 10 times the previous term minus n.

10, 99, 988, 9877, 98766, 987655, 9876544, 98765433, 987654322, 9876543211, 98765432100, 987654320989, 9876543209878, 98765432098767, 987654320987656, 9876543209876545, 98765432098765434, 987654320987654323, 9876543209876543212, 98765432098765432101

Offset: 0

Author

Mark Dols, Jul 16 2010

Keywords

• nonn
• easy

Links

• Colin Barker, Table of n, a(n) for n = 0..998
• Index entries for linear recurrences with constant coefficients, signature (12,-21,10).

Crossrefs

Cf. A014824.

Programs

Mathematica

Join[{a=10,b=99},Table[c=11*b-10*a-1;a=b;b=c,{n,60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 20 2011*)
Join[{a=10}, Table[a=10a-n, {n,60}]] (* T. D. Noe, Jan 20 2011 *)

PARI

Vec(-(10*x^2-21*x+10)/((x-1)^2*(10*x-1)) + O(x^30)) \\ Colin Barker, Oct 03 2015

Formula

a(n) + A014824(n) = 10^(n+1).

From Colin Barker, Oct 03 2015: (Start)

a(n) = 12*a(n-1) - 21*a(n-2) + 10*a(n-3) for n>2.

G.f.: -(10*x^2-21*x+10) / ((x-1)^2*(10*x-1)). (End)

a(n) = (10 + 2^(5+n)*5^(2+n) + 9*n)/81. - Colin Barker, Mar 25 2017