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A179477 Antonym of A014824: each term is 10 times the previous term minus n. 1
10, 99, 988, 9877, 98766, 987655, 9876544, 98765433, 987654322, 9876543211, 98765432100, 987654320989, 9876543209878, 98765432098767, 987654320987656, 9876543209876545, 98765432098765434, 987654320987654323, 9876543209876543212, 98765432098765432101 (list; graph; refs; listen; history; text; internal format)
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: A004189 A179558 A179556 * A179555 A105694 A179557

Adjacent sequences:  A179474 A179475 A179476 * A179478 A179479 A179480

KEYWORD

nonn,easy

AUTHOR

Mark Dols, Jul 16 2010

STATUS

approved

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Last modified July 22 08:46 EDT 2017. Contains 289648 sequences.