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A351721 Starts of runs of 3 consecutive lazy-Lucas-Niven numbers (A351719). 13

%I #8 Feb 21 2022 02:30:20

%S 607068,640618,665720,900921,1000880,1375940,1505878,1537250,1924224,

%T 1938508,1966338,2527998,3394224,3935424,4242624,4476624,4747224,

%U 4794624,5351367,5401824,5526024,5636356,5992298,6103900,6343298,7028362,7113024,8879424,8998262,9431424

%N Starts of runs of 3 consecutive lazy-Lucas-Niven numbers (A351719).

%C Conjecture: There are no runs of 4 consecutive lazy-Lucas-Niven numbers (checked up to 3*10^9).

%H Amiram Eldar, <a href="/A351721/b351721.txt">Table of n, a(n) for n = 1..5000</a>

%e 607068 is a term since 607068, 607069 and 607070 are all divisible by the number of terms in their maximal representation:

%e k A130311(k) A131343(k) k/A131343(k)

%e -------------------------------------------------------------

%e 607068 111010101010101011110111101 18 33726

%e 607069 111010101010101011110111111 19 31951

%e 607070 111010101010101011111010110 17 35710

%Y Cf. A000032, A130311, A131343.

%Y Subsequence of A351719 and A351720.

%Y Similar sequences: A154701, A328206, A328210, A328214, A330932, A331087, A333428, A334310, A331822, A342428, A344343, A351716.

%K nonn,base

%O 1,1

%A _Amiram Eldar_, Feb 17 2022

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Last modified May 21 05:34 EDT 2024. Contains 372728 sequences. (Running on oeis4.)