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 A206244 Number of partitions of n into repunits (A002275). 3
 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,12 COMMENTS a(n) = A206245(n) for n <= 120, a(n) < A206245(n) for n > 120. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..1000 Eric Weisstein's World of Mathematics, Repunit Wikipedia, Repunit FORMULA G.f.: Product_{k>=1} 1/(1 - x^((10^k-1)/9)). - Ilya Gutkovskiy, Jul 26 2017 EXAMPLE a(12)=2 is the first nontrivial term, from the partitions 12 = 1+1+...+1 = 11+1. - N. J. A. Sloane, Jul 26 2017 MATHEMATICA With[{nn = 50}, Table[Count[IntegerPartitions@ n, k_ /; ContainsAll[Array[Floor[10^#/9] &, IntegerLength[nn + 1]], Union@ k]], {n, 0, nn}]] (* Michael De Vlieger, Jul 26 2017 *) PROG (Haskell) a206244 = p \$ tail a002275_list where    p _             0 = 1    p rus'@(ru:rus) n = if n < ru then 0 else p rus' (n - ru) + p rus n CROSSREFS Cf. A000041, A002275, A179051. Sequence in context: A287272 A300287 A226764 * A206245 A064458 A125891 Adjacent sequences:  A206241 A206242 A206243 * A206245 A206246 A206247 KEYWORD nonn AUTHOR Reinhard Zumkeller, Feb 05 2012 STATUS approved

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Last modified April 21 19:16 EDT 2021. Contains 343156 sequences. (Running on oeis4.)