A065023 Number of states in minimal automaton that recognizes biquanimous numbers in base n.

2, 4, 10, 21, 51, 89, 203, 370, 715, 1197, 2418, 3813, 7175, 11379, 19026, 29809, 51618, 75378, 125951, 185025, 285449

Offset: 2

Author

N. J. A. Sloane, Nov 03 2001

Keywords

• nonn
• base
• more

Comments

A biquanimous number (A064544) is a number whose digits can be split into two groups with equal sums.

References

• Jeffrey Shallit, A Second Course in Formal Languages and Automata Theory, Cambridge, 2008; see Exercise 3.55.
• William P. Thurston, personal communication.

Links

• Jingzhe Tang, C++ code calculating terms

Crossrefs

Cf. A064544, A065024, A065025.

Extensions

a(11)-a(16) from Jingzhe Tang, Mar 21 2018

a(17)-a(22) from Sean A. Irvine, Aug 08 2023