A307416 Number of narcissistic group-separable preference profiles.

1, 1, 1, 6, 144, 13440, 4976640, 7390494720, 44033145569280, 1050540969012756480, 100246620373125798297600, 38247242364455762072803737600, 58346834889692144013481754807500800, 355946631376225773365104516210274756198400

Offset: 0

Author

Alexander Karpov, Apr 07 2019

Keywords

• nonn

Links

• A. Karpov, On the Number of Group-Separable Preference Profiles, Group Decision and Negotiation, 2019, pp. 1-17.

Programs

PARI

a(n) = {j=1;if(n>1,j=sum(k=1,n-1,binomial(n-1, k-1)*2^(2*n*k-2*k^2-n)*a(k)*a(n-k)));j;} \\ Jinyuan Wang, Apr 08 2019

Formula

a(n) = Sum_{k=1..n-1} binomial(n-1, k-1)*2^(2*n*k-2*k^2-n)*a(k)*a(n-k).

Extensions

More terms from Jinyuan Wang, Apr 08 2019