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 A334728 Indices of records in A091719 (greatest common divisors of consecutive partition numbers). 0
 0, 8, 9, 10, 16, 18, 32, 58, 129, 5484, 28158, 55573, 89570, 371255, 13877936 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The corresponding record values are 1, 2, 6, 14, 33, 35, 69, 220, 17270, 19085, 64190, 471725, 1551362, 8215449, 8990167, ... LINKS Table of n, a(n) for n=1..15. EXAMPLE 8 is a term since partition(8) = 22 and partition(9) = 30, so A091719(8) = gcd(22, 30) = 2, while A091719(k) = 1 for all k < 8. MATHEMATICA p1 = PartitionsP[0]; gm = 0; seq = {}; Do[p2 = PartitionsP[n]; g = GCD[p1, p2]; If[g > gm, gm = g; AppendTo[seq, n-1]]; p1 = p2, {n, 1, 10^4}]; seq DeleteDuplicates[With[{nn=900000}, Thread[{Range[nn], GCD@@#&/@Partition[PartitionsP[ Range[ 0, nn]], 2, 1]}]], GreaterEqual[#1[[2]], #2[[2]]]&][[;; , 1]]-1 (* The program generates the first 13 terms of the sequence. *) (* Harvey P. Dale, Nov 22 2023 *) CROSSREFS Cf. A000041, A091719. Sequence in context: A358675 A091417 A069237 * A070480 A135043 A054966 Adjacent sequences: A334725 A334726 A334727 * A334729 A334730 A334731 KEYWORD nonn,more,changed AUTHOR Amiram Eldar, May 09 2020 STATUS approved

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Last modified November 29 14:31 EST 2023. Contains 367445 sequences. (Running on oeis4.)