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A348448 Records in A307730. 2

%I #22 Oct 24 2021 08:56:22

%S 1,2,3,6,9,12,15,21,24,27,36,45,49,56,63,72,81,90,99,110,121,132,143,

%T 150,165,176,187,190,209,220,231,243,253,264,275,290,319,324,351,360,

%U 375,377,406,435,459,475,476,493,522,551,567,575,588,609,638,667,675,700,725,754,783,810,837,858

%N Records in A307730.

%C The points with coordinates (x,y) = (A348449(n), A348448(n)), n = 1,2,3,... are the upper envelope of the graph of A307730. Based on the first 10^6 terms of A307730 we get 110 points on the upper envelope, which appear to lie very roughly on the curve y = x^0.57. It would be nice to have a more trustworthy expression for this curve!

%H Rémy Sigrist, <a href="/A348448/b348448.txt">Table of n, a(n) for n = 1..10000</a> (first 110 terms from N. J. A. Sloane)

%H Rémy Sigrist, <a href="/A307730/a307730.png">Scatterplot of the first 10000000 terms of A307730</a>

%H Rémy Sigrist, <a href="/A348448/a348448.txt">C program for A348448</a>

%H N. J. A. Sloane, <a href="/A307730/a307730_1.txt">Table of n, A307730(n) for n = 1..999999</a>

%o (C) See Links section.

%Y Cf. A307720, A307730, A348247, A348449.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Oct 23 2021

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Last modified June 1 14:02 EDT 2024. Contains 373023 sequences. (Running on oeis4.)