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 A075415 Squares of A002280 or numbers (666...6)^2. 27
 0, 36, 4356, 443556, 44435556, 4444355556, 444443555556, 44444435555556, 4444444355555556, 444444443555555556, 44444444435555555556, 4444444444355555555556, 444444444443555555555556, 44444444444435555555555556, 4444444444444355555555555556 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A transformation of the Wonderful Demlo numbers (A002477). LINKS Seiichi Manyama, Table of n, a(n) for n = 0..500 G. Villemin, Variations sur les carrés Index entries for linear recurrences with constant coefficients, signature (111,-1110,1000). FORMULA a(n) = A002280(n)^2 = (6 * A002275(n))^2 = 36 * (A002275(n))^2. a(n) = (6*(10^n-1)/9)^2 = (4/9)*(10^(2*n) - 2*10^n + 1), which is n-1 4's, followed by a 3, n-1 5's and a 6. - Ignacio Larrosa Cañestro, Feb 26 2005 From Reinhard Zumkeller, May 31 2010: (Start) a(n) = ((A002278(n-1)*10+3)*10^(n-1)+A002279(n-1))*10+6 for n>0. a(n) = A002283(n)*A002278(n). (End) G.f.: 36*x*(1 + 10*x)/((1 - x)*(1 - 10*x)*(1 - 100*x)). - Arkadiusz Wesolowski, Dec 26 2011 EXAMPLE a(2) = 66^2 = 4356. From Reinhard Zumkeller, May 31 2010: (Start) n=1: ..................... 36 = 9 * 4; n=2: ................... 4356 = 99 * 44; n=3: ................. 443556 = 999 * 444; n=4: ............... 44435556 = 9999 * 4444; n=5: ............. 4444355556 = 99999 * 44444; n=6: ........... 444443555556 = 999999 * 444444; n=7: ......... 44444435555556 = 9999999 * 4444444; n=8: ....... 4444444355555556 = 99999999 * 44444444; n=9: ..... 444444443555555556 = 999999999 * 444444444. (End) MATHEMATICA Table[FromDigits[PadRight[{}, n, 6]]^2, {n, 0, 20}] (* or *) LinearRecurrence[ {111, -1110, 1000}, {0, 36, 4356}, 20] (* Harvey P. Dale, May 20 2021 *) CROSSREFS Cf. A075411, A075412, A075413, A075414, A075415, A075416, A075417, A002283. Cf. A178630, A178631, A178632, A178633, A178634, A178635, A059988. [From Reinhard Zumkeller, May 31 2010] Cf. A052041, A102807, A309827. Sequence in context: A184270 A187405 A102794 * A127856 A127860 A189148 Adjacent sequences:  A075412 A075413 A075414 * A075416 A075417 A075418 KEYWORD nonn,easy AUTHOR Michael Taylor (michael.taylor(AT)vf.vodafone.co.uk), Sep 14 2002 EXTENSIONS Edited by Alois P. Heinz, Aug 21 2019 (merged with A102794, submitted by Richard C. Schroeppel, Feb 26 2005) STATUS approved

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Last modified June 24 02:18 EDT 2021. Contains 345411 sequences. (Running on oeis4.)