A367838 Expansion of e.g.f. 1/(2 + x - exp(2*x)).

1, 1, 6, 38, 344, 3832, 51408, 803952, 14371456, 289005440, 6457624832, 158719896832, 4255775425536, 123619815742464, 3867071262472192, 129610289219999744, 4633674344869756928, 176011269522607144960, 7079115958438736363520

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Formula

a(0) = 1; a(n) = -n * a(n-1) + Sum_{k=1..n} 2^k * binomial(n,k) * a(n-k).

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=-i*v[i]+sum(j=1, i, 2^j*binomial(i, j)*v[i-j+1])); v;

Crossrefs

Cf. A032032, A367839, A367840.

Cf. A367835.

Sequence in context: A276473 A062814 A349844 * A319194 A303865 A319647

Adjacent sequences: A367835 A367836 A367837 * A367839 A367840 A367841

Keyword

nonn

Author

Seiichi Manyama, Dec 02 2023

Status

approved