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A353540 Starts of runs of 4 consecutive numbers whose abundancy index is larger than Pi^2/6. 6

%I #10 Apr 26 2022 04:45:25

%S 8110374,9154143,39637323,54957174,78219294,98759814,111713874,

%T 113603874,118703583,141708174,142339923,147934323,165767874,

%U 169846983,173894874,198219174,222002934,234435354,250429023,266664123,269371374,270969543,302704674,312610023,315474003

%N Starts of runs of 4 consecutive numbers whose abundancy index is larger than Pi^2/6.

%H Amiram Eldar, <a href="/A353540/b353540.txt">Table of n, a(n) for n = 1..835</a> (terms below 10^10)

%e 8110374 is a term since sigma(8110374)/8110374 = 2.048..., sigma(8110375)/8110375 = 1.654..., sigma(8110376)/8110376 = 1.906... and sigma(8110377)/8110377 = 1.717... are all larger than Pi^2/6 = 1.644... .

%Y Cf. A000203, A013661.

%Y Subsequence of A353537, A353538 and A353539.

%Y A353541 is a subsequence.

%K nonn

%O 1,1

%A _Amiram Eldar_, Apr 25 2022

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Last modified August 14 00:08 EDT 2024. Contains 375146 sequences. (Running on oeis4.)