A091411 Lengths of the B blocks in analysis of A090822.

1, 3, 9, 19, 47, 98, 220, 441, 885, 1771, 3551, 7106, 14279, 28559, 57121, 114243, 228495, 456994, 914012, 1828025, 3656053, 7312107, 14624223, 29248450, 58497096, 116994195, 233988391, 467976791, 935953586, 1871907196

Offset: 1

Author

N. J. A. Sloane, Mar 04 2004

Keywords

• nonn

Comments

Also, values of len_y(n) when len_x(n) = 0 in A090822.

Links

• 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.
• Index entries for sequences related to Gijswijt's sequence

Crossrefs

Cf. A090822, A091579, A091410, A095828.

Formula

a(1) = 1; for n > 1, a(n+1) = 2*a(n) + A091579(n).

This roughly doubles at each step and a(n) -> 1.743349432191828... * 2^n.

Extensions

14279 and 28559 from Allan Wilks, Mar 04 2004

Extended by N. J. A. Sloane, Mar 06 2004