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 A255341 Numbers n such that there is exactly one 1 in their factorial base representation (A007623). 6
 1, 2, 5, 6, 10, 13, 14, 17, 19, 20, 23, 24, 28, 36, 40, 42, 46, 49, 50, 53, 54, 58, 61, 62, 65, 67, 68, 71, 73, 74, 77, 78, 82, 85, 86, 89, 91, 92, 95, 97, 98, 101, 102, 106, 109, 110, 113, 115, 116, 119, 120, 124, 132, 136, 138, 142, 168, 172, 180, 184, 186, 190, 192, 196, 204, 208, 210 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Antti Karttunen, Table of n, a(n) for n = 1..13069 EXAMPLE The factorial base representation (A007623) of 5 is "21", which contains exactly one 1, thus 5 is included in the sequence. The f.b.r. of 23 is "321", with only one 1, thus 23 is included in the sequence. The f.b.r. of 24 is "1000", with only one 1, thus 24 is included in the sequence. MATHEMATICA factBaseIntDs[n_] := Module[{m, i, len, dList, currDigit}, i = 1; While[n > i!, i++]; m = n; len = i; dList = Table[0, {len}]; Do[currDigit = 0; While[m >= j!, m = m - j!; currDigit++]; dList[[len - j + 1]] = currDigit, {j, i, 1, -1}]; If[dList[[1]] == 0, dList = Drop[dList, 1]]; dList]; s = Table[FromDigits[factBaseIntDs[n]], {n, 210}]; {0}~Join~Flatten@ Position[s, x_ /; DigitCount[x][[1]] == 1] (* Michael De Vlieger, Apr 27 2015, after Alonso del Arte at A007623 *) PROG (Scheme, with Antti Karttunen's IntSeq-library) (define A255341 (MATCHING-POS 1 0 (lambda (n) (= 1 (A257511 n))))) CROSSREFS Cf. A007623, A257511, A255411, A255342, A255343. Subsequence of A256450. Subsequences: A000142, A033312 (apart from its zero-terms). Sequence in context: A162340 A212016 A212015 * A089269 A047440 A255055 Adjacent sequences:  A255338 A255339 A255340 * A255342 A255343 A255344 KEYWORD nonn,base AUTHOR Antti Karttunen, Apr 27 2015 STATUS approved

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Last modified August 3 10:49 EDT 2020. Contains 336198 sequences. (Running on oeis4.)