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

0,1

Links

Colin Barker, Table of n, a(n) for n = 0..998

Index entries for linear recurrences with constant coefficients, signature (12,-21,10).

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

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 *)

Prog

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

Crossrefs

Cf. A014824.

Sequence in context: A322054 A179558 A179556 * A179555 A105694 A179557

Adjacent sequences: A179474 A179475 A179476 * A179478 A179479 A179480

Keyword

nonn,easy

Author

Mark Dols, Jul 16 2010

Status

approved