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%I #21 Nov 22 2024 20:32:22
%S 223092870,975351895,1527890095,1885679383,2189118743,2329696457,
%T 2338611863,3485765789,4586671213,5453593183,5472849253,5674340053,
%U 8071055747,8931775397,9332889127,9453996491,9601098443,10293819917,12717530039,17343441881,18636581773,19498393573,20167656703,23244839627,23515890737,23556538969
%N Antiderivatives of 334406399, numbers k for which A003415(k) = A024451(9) = A003415(A002110(9)).
%C Apart from the initial term A002110(9), all other terms are products of three distinct odd primes, A046389. Compare to the comments in A369239.
%C Note that A024451(9) = 334406399 = 43 * 163 * 47711 == -1 (mod 12). Compare the sequences A369450, A369451 and A369452 to see why there is such a sudden peak in A377993 at n=9, when compared to the nearby terms before and after.
%C For all n=1..330, A327969(a(n)) <= 7 = A099307(a(n)), because, when we apply A003415 successively, we get: A003415(334406399) -> 9835475 [= A369651(9)] -> 4893565 -> 978718 -> 564671 (which is a prime) -> 1 -> 0.
%H Antti Karttunen, <a href="/A378209/b378209.txt">Table of n, a(n) for n = 1..330</a>
%H <a href="/index/Pri#primorial_numbers">Index entries for sequences related to primorial numbers</a>
%Y Row 9 of irregular triangle A377992.
%Y Subsequence of A099308, and after the initial term, subsequence of A046389.
%Y Cf. A002110, A003415, A024451, A099307, A327969, A369239, A369651.
%Y Cf. A369450, A369451, A369452.
%K nonn,full,fini
%O 1,1
%A _Antti Karttunen_, Nov 20 2024