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A368018
Expansion of e.g.f. exp(exp(2*x) - exp(3*x)).
0
1, -1, -4, -5, 57, 548, 1967, -13561, -302718, -2589819, -2709911, 300801642, 5531279773, 48708116819, -142678610012, -13947271486097, -277586590571059, -2741155101562764, 15789174378252979, 1332483468802350235, 31222229349684528898, 380895661222461566625
OFFSET
0,3
FORMULA
a(0) = 1; a(n) = Sum_{k=1..n} (2^k - 3^k) * binomial(n-1,k-1) * a(n-k).
PROG
(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, (2^j-3^j)*binomial(i-1, j-1)*v[i-j+1])); v;
CROSSREFS
Cf. A355381.
Sequence in context: A335797 A041941 A220534 * A341575 A013331 A226145
KEYWORD
sign
AUTHOR
Seiichi Manyama, Dec 08 2023
STATUS
approved