A378209 Antiderivatives of 334406399, numbers k for which A003415(k) = A024451(9) = A003415(A002110(9)).

223092870, 975351895, 1527890095, 1885679383, 2189118743, 2329696457, 2338611863, 3485765789, 4586671213, 5453593183, 5472849253, 5674340053, 8071055747, 8931775397, 9332889127, 9453996491, 9601098443, 10293819917, 12717530039, 17343441881, 18636581773, 19498393573, 20167656703, 23244839627, 23515890737, 23556538969

Offset

1,1

Comments

Apart from the initial term A002110(9), all other terms are products of three distinct odd primes, A046389. Compare to the comments in A369239.

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.

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.

Links

Antti Karttunen, Table of n, a(n) for n = 1..330

Index entries for sequences related to primorial numbers

Crossrefs

Row 9 of irregular triangle A377992.

Subsequence of A099308, and after the initial term, subsequence of A046389.

Cf. A002110, A003415, A024451, A099307, A327969, A369239, A369651.

Cf. A369450, A369451, A369452.

Sequence in context: A115343 A374785 A258364 * A046327 A206044 A321147

Adjacent sequences: A378206 A378207 A378208 * A378210 A378211 A378212

Keyword

nonn,full,fini

Author

Antti Karttunen, Nov 20 2024

Status

approved