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

0,2

Comments

Each term is roughly 3 times the previous term.

Links

Table of n, a(n) for n=0..20.

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

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

Crossrefs

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

Sequence in context: A096886 A176904 A056332 * A297219 A018046 A095125

Adjacent sequences: A091585 A091586 A091587 * A091589 A091590 A091591

Keyword

nonn,more

Author

N. J. A. Sloane, Mar 05 2004

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

Status

approved