A378421 Positive integers in A376446 sorted according to their appearance in that sequence.

8, 64, 2486, 5, 4268, 8426, 2, 4, 4862, 46, 82, 6248, 6842, 8624, 2684, 28, 6, 9, 7139, 3179, 19, 1397, 1793, 91, 3971, 7931, 9713, 9317

Offset

2,1

Comments

Since a(28) = A376446(700001) = 9317, the present sequence has at least 28 terms.

If we merge A376446(n) and A377124(n*10), taking A376446(n) if and only if n is not a multiple of 10 and A376446(n*10) otherwise, we should get the sequence: 8, 64, 2486, 5, 4268, 8426, 2, 1, 4, 4862, 46, 82, 6248, 6, 6842, 8624, 2684, 28, 9, 7139, 3179, 19, 1397, 1793, 91, 3971, 7931, 9713, 9317 (which the author conjectures to be complete, as the present one).

Moreover, by construction, each term of this sequence is necessarily a circular permutation of the digits of one term of A376842 (e.g., a(4) = 2486 since A376842(4) = 6248).

Links

Table of n, a(n) for n=2..29.

Marco Ripà, Graham's number stable digits: an exact solution, arXiv:2411.00015 [math.GM], 2024.

Wikipedia, Graham's Number.

Wikipedia, Tetration.

Formula

a(1) = 8, a(2) = 64, ..., a(28) = 9317 (and a(28) is the last term of the present sequence - conjectured).

Example

a(2) = 64 since A376446(2) = 64 (which is different from A376446(1) = 8).

Crossrefs

Cf. A317905, A370211, A372490, A373387, A376446, A376842, A377124.

Cf. A000007, A018247, A018248, A063006, A091661, A091663, A091664, A120817, A120818, A290372, A290373, A290374, A290375.

Sequence in context: A352721 A278145 A287230 * A376446 A154710 A069033

Adjacent sequences: A378418 A378419 A378420 * A378422 A378423 A378424

Keyword

nonn,fini,more,new

Author

Marco Ripà, Nov 25 2024

Status

approved