The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A002282 a(n) = 8*(10^n - 1)/9. 36
 0, 8, 88, 888, 8888, 88888, 888888, 8888888, 88888888, 888888888, 8888888888, 88888888888, 888888888888, 8888888888888, 88888888888888, 888888888888888, 8888888888888888, 88888888888888888, 888888888888888888, 8888888888888888888 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS If the initial term is omitted, might be called eightful (or hateful) numbers! LINKS Harry J. Smith, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (11, -10). FORMULA a(n) = 10*a(n-1) + 8, with a(0)=0. - Paolo P. Lava, Jan 23 2009 a(n) = 11a(n-1) - 10a(n-2), with a(0)=0, a(1)=8. G.f.: 8x/((1-x)(1-10x)).  - Jaume Oliver Lafont, Feb 03 2009 a(n) = A178635(n) / A002283(n). - Reinhard Zumkeller, May 31 2010 a(n) = a(n-1) + 8*10^(n-1), with a(0)=0. - Vincenzo Librandi, Jul 22 2010 a(n) = 8*A002275(n) = A002283(n) - A002275(n). - Carauleanu Marc, Sep 03 2016 From Ilya Gutkovskiy, Sep 03 2016: (Start) E.g.f.: 8*(exp(9*x) - 1)*exp(x)/9. a(n) = floor(8*10^n/9). (End) EXAMPLE Curious multiplications: 9*9 + 7 = 88; 98*9 + 6 = 888; 987*9 + 5 = 8888; 9876*9 + 4 = 88888; 98765*9 + 3 = 888888; 987654*9 + 2 = 8888888; 9876543*9 + 1 = 88888888; 98765432*9 + 0 = 888888888; 987654321*9 - 1 = 8888888888; 9876543210*9 - 2 = 88888888888. - Philippe Deléham, Mar 09 2014 MAPLE A002282:=n->8*(10^n - 1)/9; seq(A002282(n), n=0..20); # Wesley Ivan Hurt, Mar 10 2014 MATHEMATICA LinearRecurrence[{11, -10}, {0, 8}, 20] (* Harvey P. Dale, May 30 2013 *) PROG (PARI) { a=-4/5; for (n = 0, 200, a+=8*10^(n - 1); write("b002282.txt", n, " ", a); ) } \\ Harry J. Smith, Jun 27 2009 CROSSREFS Cf. A051003, A059482. Cf. A002275, A002276, A002277, A002278, A002279, A002280, A002281, A059988, A075412. Sequence in context: A053378 A062185 A053379 * A112907 A053380 A250166 Adjacent sequences:  A002279 A002280 A002281 * A002283 A002284 A002285 KEYWORD easy,nonn AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 30 19:04 EDT 2020. Contains 334729 sequences. (Running on oeis4.)