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

2,1

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

Table of n, a(n) for n=2..22.

Jingzhe Tang, C++ code calculating terms

Crossrefs

Cf. A064544, A065024, A065025.

Sequence in context: A328693 A165136 A165137 * A301700 A123445 A104431

Adjacent sequences: A065020 A065021 A065022 * A065024 A065025 A065026

Keyword

nonn,base,more

Author

N. J. A. Sloane, Nov 03 2001

Extensions

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

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

Status

approved