A091409 a(n) is the smallest m such that A090822(m) = n.

1, 3, 9, 220

Offset

1,2

Links

Table of n, a(n) for n=1..4.

Dion C. Gijswijt, Krulgetallen, Pythagoras, 55ste Jaargang, Nummer 3, Jan 2016. (Shows that the sequence is infinite)

Fokko J. van de Bult, Dion C. Gijswijt, John P. Linderman, N. J. A. Sloane, and Allan R. Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence, J. Integer Sequences, Vol. 10 (2007), #07.1.2.

Fokko J. van de Bult, Dion C. Gijswijt, John P. Linderman, N. J. A. Sloane, and Allan R. Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence [pdf, ps].

Levi van de Pol, The Growth Rate of Gijswijt's Sequence, J. Int. Seq. (2025) Vol. 28, Art. No. 25.4.6. See p. 2.

Index entries for sequences related to Gijswijt's sequence

Formula

a(n) is about 2^(2^(3^(4^(5^...^(n-1))))).

Crossrefs

Cf. A090822.

Sequence in context: A062228 A196864 A279834 * A027891 A073889 A384061

Adjacent sequences: A091406 A091407 A091408 * A091410 A091411 A091412

Keyword

nonn

Author

N. J. A. Sloane, based on a suggestion from Dion Gijswijt (gijswijt(AT)science.uva.nl), Mar 04 2004

Extensions

Sequence is infinite but next term, about 10^(10^23.09987) (see A091787), is too large to include.

Status

approved