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A371990
G.f. A(x) satisfies A(x) = ( 1 + 16*x*A(x)*(1 + A(x)) )^(1/4).
1
1, 8, 0, -256, 2048, 8192, -327680, 2097152, 27262976, -612368384, 2013265920, 82409684992, -1249835483136, -996432412672, 239418656948224, -2495891395051520, -17018240974716928, 669901648478339072, -4349632815109767168, -80937285128219000832
OFFSET
0,2
FORMULA
a(n) = 16^n * Sum_{k=0..n} binomial(n,k) * binomial(n/4+k/4+1/4,n)/(n+k+1).
PROG
(PARI) a(n) = 16^n*sum(k=0, n, binomial(n, k)*binomial(n/4+k/4+1/4, n)/(n+k+1));
CROSSREFS
Sequence in context: A221379 A013376 A221421 * A013456 A180738 A076107
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 15 2024
STATUS
approved