The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A038150

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A038150

Array of numbers used in exotic ternary numeration system, read by antidiagonals.
(history; published version)

#33 by Michael De Vlieger at Sat Jan 29 12:23:55 EST 2022

STATUS

reviewed

approved

#32 by Joerg Arndt at Sat Jan 29 02:35:51 EST 2022

STATUS

proposed

reviewed

#31 by Michel Marcus at Sat Jan 29 02:35:09 EST 2022

STATUS

editing

proposed

#30 by Michel Marcus at Sat Jan 29 02:34:59 EST 2022

CROSSREFS

Rows give A001906, A025169, A002878, columns give A026351, A047924, A047925, main diagonal gives A047923. Cf. A035506.

Rows give A001906, A025169, A002878.

Columns give A026351, A047924, A047925.

Main diagonal gives A047923.

Cf. A026351, A035506.

STATUS

proposed

editing

#29 by Jon E. Schoenfield at Sat Jan 29 00:05:06 EST 2022

STATUS

editing

proposed

#28 by Jon E. Schoenfield at Sat Jan 29 00:05:04 EST 2022

FORMULA

For n >= 0, A_0^n= is the least nonnegative integer not in {A_j^n: 0 <= i < n, j >= 0, A_1^n = 2A_0^n + n, A_j^n = 3A_{j-1}^n - A_{j-2}^n (j >= 2).

EXAMPLE

Top left corner of array is:

1 , 3 , 8 , 21 , 55 144 , ...

2 , 6 , 16 , 42 , 110 , ...

4 , 11 , 29 , 76 , 199 , ...

5 , 14 , 37 , 97 , 254 , ...

STATUS

approved

editing

#27 by Sean A. Irvine at Mon Jun 17 01:59:27 EDT 2019

STATUS

proposed

approved

#26 by Michel Marcus at Mon Jun 17 01:44:20 EDT 2019

STATUS

editing

proposed

#25 by Michel Marcus at Mon Jun 17 01:39:17 EDT 2019

LINKS

A. S. Fraenkel, <a href="httphttps://www.wisdom.weizmann.acdoi.il/~fraenkel/Papersorg/ans110.ps1016/S0304-3975(01)00070-6">Arrays, numeration systems and Frankenstein games</a>, Theoret. Comput. Sci. 282 (2002), 271-284; <a href="http://www.wisdom.weizmann.ac.il/~fraenkel/Papers/ans1.ps">preprint</a>.

#24 by Michel Marcus at Mon Jun 17 01:22:04 EDT 2019

REFERENCES

A. S. Fraenkel, Recent results and questions in combinatorial game complexities, Theoretical Computer Science, vol. 249, no. 2 (2000), 265-288.

LINKS

A. S. Fraenkel, <a href="https://doi.org/10.1016/S0304-3975(00)00062-1">Recent results and questions in combinatorial game complexities</a>, Theoretical Computer Science, vol. 249, no. 2 (2000), 265-288.

STATUS

approved

editing