A091588 -id:A091588 - cp's OEIS frontend

A217590 Values in A091579 that need to be smoothed in order to produce A091588.

Original entry on oeis.org

4, 9, 25, 68, 196, 581, 1731, 5180, 15534, 46579, 139713, 419116, 1257320

Offset: 1

N. J. A. Sloane, Mar 18 2013

a(n) = A091588(n) + 1 for n >= 1.

Each term is roughly 3 times the previous term.

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. See Eq. (28).
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]. See Eq. (28).
Index entries for sequences related to Gijswijt's sequence

Cf. A090822, A091579, A091587, A091588.

I would very much like a formula for this sequence!

A094176 (A047926(n)-A091588(n))/2.

Original entry on oeis.org

0, 0, 0, 1, 2, 5, 15, 43, 127, 383, 1143, 3423, 10264, 30785

Offset: 0

N. J. A. Sloane, Jun 01 2004

nonn

A091588 remains mysterious, but A047926 is reasonably close to it.

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

Cf. A090822, A047926, A091588.

A091839 A smoothed version of A091579.

Original entry on oeis.org

1, 3, 1, 8, 1, 3, 1, 24, 1, 3, 1, 8, 1, 3, 1, 67, 1, 3, 1, 8, 1, 3, 1, 24, 1, 3, 1, 8, 1, 3, 1, 195, 1, 3, 1, 8, 1, 3, 1, 24, 1, 3, 1, 8, 1, 3, 1, 67, 1, 3, 1, 8, 1, 3, 1, 24, 1, 3, 1, 8, 1, 3, 1, 580, 1, 3, 1, 8, 1, 3, 1, 24, 1, 3, 1, 8, 1, 3, 1, 67, 1, 3, 1, 8, 1, 3, 1, 24, 1, 3, 1, 8, 1

Offset: 1

N. J. A. Sloane, Mar 10 2004

nonn

Obtained from A091579 by the following transformation: replace 4 by 3, 1; replace 9 by 8, 1; 25 by 24, 1; 68 by 67, 1; 196 by 195, 1; 581 by 580, 1; 1731 by 1730, 1; 15534 by 15533, 1, etc.

New records (see A091588) first appear at powers of 2. Also a(2n+1) = 1; a(4n+2) = 3; a(8n+4) = 8; etc.

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

A091587 Records in A091579.

Original entry on oeis.org

1, 3, 9, 24, 67, 196, 581, 1731, 5180, 15534, 46578, 139713, 419116

Offset: 0

N. J. A. Sloane, Mar 05 2004

Each term is roughly 3 times the previous term.

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

Cf. A090822, A091579. A091588 is a smoothed version.

a(10)-a(12) from John P. Linderman, May 30 2004

cp's OEIS Frontend

A217590 Values in A091579 that need to be smoothed in order to produce A091588.

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A094176 (A047926(n)-A091588(n))/2.

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A091839 A smoothed version of A091579.

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A091587 Records in A091579.

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