OFFSET
0,3
COMMENTS
A right involutory Płonka magma is a magma satisfying the identities (xy)y = x, (xy)z = (xz)y and x(yz) = xy. See A361720 for additional information.
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..100
FORMULA
E.g.f.: Sum_{k>=0} log(B(k,x))^k/k! where B(k,x) is the e.g.f. of column k of A362824.
PROG
(PARI) D(n, k) is e.g.f. of column k of A362824.
B(n, k)={polcoef(x^k/prod(j=0, k, 1-2^j*x + O(x*x^n)), n)}
D(n, k)=exp(sum(j=0, min(k, logint(n, 2)), B(k, j)*x^(2^j)/2^j, O(x*x^n)))
seq(n)=Vec(serlaplace(sum(k=0, n, log(D(n-k+1, k))^k/k!)))
CROSSREFS
KEYWORD
nonn
AUTHOR
Andrew Howroyd, May 08 2023
STATUS
approved