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A371988
G.f. A(x) satisfies A(x) = ( 1 + 16*x*(1 + A(x)) )^(1/4).
1
1, 8, -64, 768, -10240, 139264, -1835008, 22020096, -207618048, 461373440, 47982837760, -1804154699776, 47459388620800, -1075356731703296, 22196390985728000, -425460422414434304, 7596492850955550720, -125084110746588020736, 1842147113923814359040
OFFSET
0,2
FORMULA
a(n) = 16^n * Sum_{k=0..n} binomial(n,k) * binomial(k/4+1/4,n)/(k+1).
PROG
(PARI) a(n) = 16^n*sum(k=0, n, binomial(n, k)*binomial(k/4+1/4, n)/(k+1));
CROSSREFS
Cf. A371987.
Sequence in context: A088038 A061435 A133054 * A098560 A087138 A293144
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 15 2024
STATUS
approved