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A362158
Expansion of e.g.f. -exp(x * sqrt(1-4*x)).
3
-1, -1, 3, 23, 119, 1119, 19259, 417143, 10567983, 309715199, 10335277619, 386840046999, 16045111426343, 730346987476703, 36191354975508459, 1939288175212058999, 111724538084900577119, 6886112439566787983103, 452112545350650426838883
OFFSET
0,3
FORMULA
a(n) = - n! * Sum_{k=0..n} (-4)^k * binomial((n-k)/2,k)/(n-k)!.
a(n) ~ 2^(2*n - 5/2) * n^(n-1) / exp(n). - Vaclav Kotesovec, Apr 10 2023
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(-exp(x*sqrt(1-4*x))))
CROSSREFS
Cf. A362156.
Sequence in context: A245752 A290367 A006557 * A226611 A081628 A267656
KEYWORD
sign,easy
AUTHOR
Seiichi Manyama, Apr 10 2023
STATUS
approved