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 A052428 Strict Egyptian numbers (complement of A051882). 3
 1, 11, 24, 30, 31, 32, 37, 38, 43, 45, 50, 52, 53, 54, 55, 57, 59, 60, 61, 62, 64, 65, 66, 67, 69, 71, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS R. L. Graham, A theorem on partitions, J. Austral. Math. Soc. 3:4 (1963), pp. 435-441. Eric Weisstein's World of Mathematics, Egyptian Number. MATHEMATICA strictEgyptianQ[m_]:=!Length[Select[IntegerPartitions[m, Ceiling[(Sqrt[8 m + 1] - 1) / 2]], Length[#]==Length[Union[#]]&&1==Plus@@(1/#)&, 1]]>0; Reap[Do[If[!strictEgyptianQ[m], Print[m]; Sow[m]], {m, 1, 100}]][[2, 1]] (* Vincenzo Librandi, Jul 16 2017 *) CROSSREFS Cf. A051882, A028229. Note that A051909 is a subset (but is strictly different). Sequence in context: A091805 A229057 A086710 * A051909 A112134 A063307 Adjacent sequences:  A052425 A052426 A052427 * A052429 A052430 A052431 KEYWORD nonn AUTHOR STATUS approved

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Last modified September 19 18:44 EDT 2018. Contains 315210 sequences. (Running on oeis4.)