A091588 A smoothed version of A091587.

1, 3, 8, 24, 67, 195, 580, 1730, 5179, 15533, 46578, 139712, 419115, 1257319, 3771930, 11315764, 33947261, 101841751, 305525228, 916575642, 2749726883

Offset: 0

Author

N. J. A. Sloane, Mar 05 2004

Keywords

• nonn
• more

Comments

Each term is roughly 3 times the previous term.

Links

• F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and Allan Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence, J. Integer Sequences, Vol. 10 (2007), #07.1.2.
• F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and Allan Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence [pdf, ps].
• Levi van de Pol, The first occurrence of a number in Gijswijt's sequence, arXiv:2209.04657 [math.CO], 2022.
• Index entries for sequences related to Gijswijt's sequence

Crossrefs

Records in A091839. Cf. A090822, A091587, A091587, A217590.

Formula

a(n+1) = a(n) + A357063(n+1) + A091840(n+1). See Conjecture 4.2 of F. J. van de Bult et al., proved p. 54 of Levi van de Pol. - Levi van de Pol, Nov 04 2022

Extensions

a(10)-a(13) from Allan Wilks, Mar 10 2004

a(14)-a(20) from Alexander Staunton, Apr 09 2022

Removed an incorrect program. - N. J. A. Sloane, Aug 20 2022