A363455 -id:A363455 - cp's OEIS frontend

A363457 Positions of products of distinct primorial numbers (A129912) in the sequence of products of primorial numbers (A025487).

1, 2, 4, 6, 9, 13, 20, 22, 27, 29, 43, 54, 55, 66, 72, 89, 93, 112, 114, 123, 140, 147, 150, 175, 186, 223, 232, 242, 246, 274, 279, 285, 290, 332, 371, 376, 425, 433, 439, 442, 488, 500, 518, 535, 539, 570, 619, 624, 656, 718, 747, 761, 783, 789, 816, 831, 860

Offset: 1

Amiram Eldar, Jun 03 2023

nonn

Numbers k such that A025487(k) is a term of A129912.
Numbers k such that A051282(k) = A363455(k).
What is the asymptotic behavior of this sequence? Empirically, it seems that a(n) ~ A * n^c, where A and c are constants.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A002110, A025487, A051282, A129912, A363455.

lps = Cases[Import["https://oeis.org/A025487/b025487.txt", "Table"], {, }][[;; , 2]];
prod = Cases[Import["https://oeis.org/A129912/b129912.txt", "Table"], {, }][[;; , 2]];
Position[lps, #] & /@ prod // Flatten

A025487(a(n)) = A129912(n).

A363456 Positions of the terms of the Chernoff sequence (A006939) in A025487.

Original entry on oeis.org

1, 2, 6, 27, 150, 900, 5697, 37226, 246280, 1648592, 11204274

Offset: 0

Amiram Eldar, Jun 03 2023

Indices of records in A363455.

			A006939(0) = A025487(1) = 1, so a(0) = 1.
A006939(1) = A025487(2) = 2, so a(1) = 2.
A006939(2) = A025487(6) = 12, so a(2) = 6.

Cf. A006939, A025487, A363455.

Similar sequences: A098718, A098719, A293635, A306802, A346043, A346407.

lps = Cases[Import["https://oeis.org/A025487/b025487.txt", "Table"], {, }][[;; , 2]];
cher = Table[Product[Prime[k]^(n - k + 1), {k, 1, n}], {n, 0, 8}]
Position[lps, #] & /@ cher // Flatten

A025487(a(n)) = A006939(n).

A363455(a(n)) = n.

cp's OEIS Frontend

A363457 Positions of products of distinct primorial numbers (A129912) in the sequence of products of primorial numbers (A025487).

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