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A086576 a(n) = k where R(k+5)=5. 8
0, 45, 495, 4995, 49995, 499995, 4999995, 49999995, 499999995, 4999999995, 49999999995, 499999999995, 4999999999995, 49999999999995, 499999999999995, 4999999999999995, 49999999999999995, 499999999999999995 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) = 5*9*A002275(n) = 5*A002283(n) R(a(n))=A086577(n) One of family of sequences of form a(n)=k, where R(k+m)=m, m=1 to 9; m=1: A002283, m=2: A086573, m=3: A086574, m=4: A086575, m=5: A086576, m=6: A086577, m=7: A086578, m=8: A086579, m=9: A086580.

LINKS

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (11,-10).

FORMULA

a(n) = 5*(10^n-1).

From Chai Wah Wu, Jul 08 2016: (Start)

a(n) = 11*a(n-1) - 10*a(n-2) for n > 1.

G.f.: 45*x/((1 - x)*(1 - 10*x)). (End)

MATHEMATICA

Join[{0}, LinearRecurrence[{11, -10}, {45, 495}, 50]] (* G. C. Greubel, Jul 08 2016 *)

CROSSREFS

Sequence in context: A325981 A053137 A193434 * A295319 A147808 A190417

Adjacent sequences:  A086573 A086574 A086575 * A086577 A086578 A086579

KEYWORD

nonn

AUTHOR

Ray Chandler, Jul 22 2003

STATUS

approved

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Last modified June 19 15:42 EDT 2021. Contains 345142 sequences. (Running on oeis4.)