A075274 Number of reachable arrangements of coins in the game Blet starting with 2n coins that achieve the maximum number of heads.

2, 3, 2, 5, 4, 7, 16, 9, 25, 55, 24, 91, 196, 70, 336, 714, 216

Offset: 2

Author

N. J. A. Sloane, Oct 12 2002

Keywords

• nonn
• more

Comments

Rodriguez Villegas, Sadun, and Voloch (2002) prove that the maximum number of heads achievable is A047206(n). - Pontus von Brömssen, Mar 08 2025

Examples

			For 4 coins, starting from HTHT we can reach THTT, HHTH, TTTH, THHH, and no others. Of these, two arrangements HHTH and THHH achieve the maximum of 3 heads, so a(2) = 2.
		

Links

• Michael S. Branicky, Python program for OEIS A075274
• F. Rodriguez Villegas, L. Sadun and J. F. Voloch, Blet: a mathematical puzzle, Amer. Math. Monthly, 109 No.8 (2002), 729-740.

Crossrefs

Cf. A047206, A075273, A381812.

Programs

Python

# see linked program

Extensions

Offset corrected by Michel Marcus, Sep 30 2017

a(16)-a(18) from and name clarified by Sean A. Irvine, Feb 14 2025