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 A184337 a(n) is the integer whose decimal representation consists of n 8's followed by n 1's. 2
 0, 81, 8811, 888111, 88881111, 8888811111, 888888111111, 88888881111111, 8888888811111111, 888888888111111111, 88888888881111111111, 8888888888811111111111, 888888888888111111111111, 88888888888881111111111111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Richard Blecksmith and Charles Nicol, Monotonic Numbers, Mathematics Magazine, 66, (1993), 257-262. Index entries for linear recurrences with constant coefficients, signature (111,-1110,1000). FORMULA a(n) = (8*100^n - 7*10^n - 1)/9. a(n) = A059482(n)*A002283(n). G.f.: 9*x*(-9+20*x) / ( (x-1)*(100*x-1)*(10*x-1) ). - R. J. Mathar, Feb 28 2011 MATHEMATICA Table[(8*100^n - 7*10^n - 1)/9, {n, 0, 30}] (* G. C. Greubel, Nov 02 2018 *) PROG (Magma) [(8*100^n-7*10^n-1)/9: n in [0..20]]; // Vincenzo Librandi, Aug 04 2011 (PARI) vector(30, n, n--; (8*100^n - 7*10^n - 1)/9) \\ G. C. Greubel, Nov 02 2018 (Python) for n in range(30): print((8*100**n-7*10**n-1)//9, end=', ') # Stefano Spezia, Nov 02 2018 CROSSREFS Cf. A098210 (with 1 and 5 instead of 8 and 1). Cf. A002283, A059482. Cf. A008591 (digits sums). Sequence in context: A328089 A186527 A178511 * A034993 A223328 A093281 Adjacent sequences: A184334 A184335 A184336 * A184338 A184339 A184340 KEYWORD nonn,easy,base AUTHOR Paul Curtz, Feb 13 2011 STATUS approved

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Last modified December 7 15:01 EST 2022. Contains 358667 sequences. (Running on oeis4.)