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 A129282 a(0)=1; for n > 1, a(n) = a(n-1) + (the largest value of gcd(a(k),n) for 0 <= k <= n-1). 2
 1, 2, 4, 5, 9, 14, 17, 24, 32, 41, 46, 47, 59, 60, 74, 89, 105, 122, 131, 132, 152, 173, 195, 218, 242, 247, 260, 269, 283, 284, 314, 315, 347, 380, 397, 432, 468, 505, 543, 582, 602, 643, 664, 707, 751, 796, 842, 889, 937, 944, 954, 971, 1023, 1076, 1130, 1141 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Ivan Neretin, Table of n, a(n) for n = 0..10000 EXAMPLE For those k where 0 <= k <= 9, gcd(a(3),10) = 5 is the largest value for a gcd(a(k),10). So a(10) = a(9) + 5 = 46. For those k where 0 <= k <= 11, gcd(a(7),12) = 12 is the largest value for a gcd(a(k),12). So a(12) = a(11) + 12 = 59. MAPLE a:=1: for n from 1 to 70 do a[n]:=a[n-1]+max((seq(gcd(a[k], n), k=0..n-1))) od: seq(a[n], n=0..70); # Emeric Deutsch, Apr 11 2007 MATHEMATICA Fold[Append[#1, #1[[-1]] + Max@GCD[#1, #2]] &, {1}, Range] (* Ivan Neretin, Oct 24 2018 *) CROSSREFS Cf. A129281. Sequence in context: A118550 A126697 A162406 * A073153 A073154 A238656 Adjacent sequences:  A129279 A129280 A129281 * A129283 A129284 A129285 KEYWORD nonn AUTHOR Leroy Quet, Apr 07 2007 EXTENSIONS More terms from Emeric Deutsch, Apr 11 2007 STATUS approved

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Last modified September 25 04:57 EDT 2022. Contains 356953 sequences. (Running on oeis4.)