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 A343402 Numbers k such that A260815(k) > A260815(k-1)+1. 1
 3, 4, 23, 29, 39, 1559, 1593, 2435519, 2435534, 2485805, 2485806, 2485810, 2485827, 2486989, 5936893149287, 5936893149290, 5936949030071, 5936949030092, 5936949030103, 5936949030105, 5936949030115, 5936949030121, 35246700334321411113125039, 1242329884457453073932774588160466662938743561876559 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..24. EXAMPLE a(3) = 23 is in the sequence because A260815(23) - A260815(22) = 575 - 46 > 1. MAPLE G:= proc(nv) local n, v, k, np; n:= nv[1]; v:= nv[2]; k:= min(seq((-n-1) mod p, p = numtheory:-factorset(v-n-1))); np:= n+k+1; [np, v+k+igcd(np, v+k)^2] end proc: R:= 3: t:= [3, 12]: for i from 2 to 24 do t:= G(t); R:= R, t[1]; od: R; MATHEMATICA 2 + Position[Differences @ Nest[Append[#1, #1[[-1]] + GCD[#2, #1[[-1]]]^2] & @@ {#, Length[#] + 2} &, {3}, 10000], _?(# > 1 &)] // Flatten (* Amiram Eldar, Apr 14 2021 after Michael De Vlieger at A260815 *) CROSSREFS Cf. A260815. Sequence in context: A042595 A002351 A042035 * A030980 A041861 A042377 Adjacent sequences: A343399 A343400 A343401 * A343403 A343404 A343405 KEYWORD nonn AUTHOR Robert Israel, Apr 13 2021 STATUS approved

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Last modified June 20 08:48 EDT 2024. Contains 373515 sequences. (Running on oeis4.)