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 A191614 The lexicographically earliest sequence such that a(n) - a(n-1) is the largest proper divisor of a(n). 3
 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806, 1849, 3698, 5547, 11094, 12943, 25886, 38829, 77658, 77659, 155318, 232977, 465954, 543613, 1087226, 1630839, 3261678, 3339337, 6678674, 10018011, 20036022, 23375359, 46750718, 70126077, 140252154 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS In contrast, A000079(n) is the lexicographically *largest* sequence such that a(n) - a(n-1) is the largest proper divisor of a(n). Sequence is infinite because A060681 is surjective. LINKS Table of n, a(n) for n=1..40. FORMULA a(n) is the smallest number m such that m - A032742(m) = a(n-1), n > 1. MAPLE A191614 := proc(n) option remember; if n = 1 then 1; else for m from 1 do if m-A032742(m) = procname(n-1) then return m; end if; end do: end if; end proc: # R. J. Mathar, Jun 13 2011 PROG (PARI) p=0; for (v=1, 140252154, if (v%(v-p)==0 && (p==0 || (d=divisors(v))[#d-1]==v-p), print1 (p=v ", "))) \\ Rémy Sigrist, Apr 24 2021 CROSSREFS Cf. A105017, A064097, A175125, A060681. Sequence in context: A018748 A018258 A325094 * A018379 A245479 A294524 Adjacent sequences: A191611 A191612 A191613 * A191615 A191616 A191617 KEYWORD nonn AUTHOR Jaroslav Krizek, Jun 09 2011 EXTENSIONS More terms from Rémy Sigrist, Apr 24 2021 STATUS approved

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Last modified May 23 08:52 EDT 2024. Contains 372760 sequences. (Running on oeis4.)