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 A058906 Inconsummate numbers in base 11: no number is this multiple of the sum of its digits (in base 11). 10
 68, 70, 79, 80, 82, 92, 104, 200, 202, 212, 214, 224, 225, 248, 260, 314, 320, 332, 380, 392, 452, 458, 464, 490, 502, 508, 512, 513, 514, 518, 520, 524, 530, 562, 568, 574, 578, 579, 580, 584, 585, 590, 592, 595, 598, 599, 622, 628, 634, 635 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS David Radcliffe, Inconsummate Numbers [broken link] MAPLE digitsum := proc (n, b) local i; add(i, i=convert(n, base, b)) end; b := 11:N := 43922; L := []: for n from 1 to N do k := digitsum(n, b): if (n mod k)=0 then L := [op(L), n/k] fi: od: M := []: for i from 1 to 1000 do if not(member(i, L)) then M := [op(M), i] fi od: lprint(M); MATHEMATICA base = 11; Do[k = n; While[ Apply[ Plus, IntegerDigits[k, base] ]*n != k && k < 250n, k += n]; If[k == 250n, Print[n] ], {n, 1, 10^3} ] CROSSREFS Cf. A003635, A052491, A058898-A058907. Sequence in context: A043862 A043871 A269987 * A130694 A269748 A153831 Adjacent sequences:  A058903 A058904 A058905 * A058907 A058908 A058909 KEYWORD nonn,base AUTHOR N. J. A. Sloane, Jan 09 2001 STATUS approved

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Last modified December 6 16:24 EST 2019. Contains 329808 sequences. (Running on oeis4.)