A176174 Starting with 1, multiply the n-th term by 10, then subtract the sum of all terms up to and including the n-th, to make the (n+1)th term.

1, 9, 80, 710, 6300, 55900, 496000, 4401000, 39050000, 346490000, 3074400000, 27279100000, 242047000000, 2147679000000, 19056320000000, 169086410000000, 1500300900000000, 13312144900000000, 118118440000000000

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

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

Formula

a(n+1) = 10*a(n) - sum(k=1..n-1, a(k) ).

a(n)= 10*a(n-1) -10*a(n-2). G.f.: x*(1-x)/(1-10*x+10*x^2). [R. J. Mathar, Apr 14 2010]

Mathematica

CoefficientList[Series[(1 - x) / (1 - 10 x + 10 x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 14 2013 *)

Prog

(PARI) lista(nn) = {x = xx + O(xx^nn); Vec(x*(1-x)/(1-10*x+10*x^2)); } \\ Michel Marcus, Aug 13 2013

Crossrefs

Sequence in context: A171314 A370039 A081108 * A242632 A018913 A359921

Adjacent sequences: A176171 A176172 A176173 * A176175 A176176 A176177

Keyword

nonn,easy

Author

Ashleigh Marsh (ashleigh(AT)e-marsh.freeserve.co.uk), Apr 10 2010

Extensions

More terms from R. J. Mathar, Apr 14 2010

Status

approved