A371693 G.f. satisfies A(x) = ( 1 + x * A(x) * (1 + A(x)) )^2.

1, 4, 28, 248, 2480, 26688, 301648, 3531424, 42449088, 520858496, 6497190528, 82146802944, 1050370074624, 13559126110720, 176469550681344, 2313050095245824, 30506619439926272, 404558181197010944, 5391161355764205568, 72156618656648237056, 969557980700415827968

Offset

0,2

Links

Table of n, a(n) for n=0..20.

Formula

G.f.: B(x)^2 where B(x) is the g.f. of A219534.

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

Prog

(PARI) a(n, r=2, t=2, u=2) = r*sum(k=0, n, binomial(n, k)*binomial(t*n+u*k+r, n)/(t*n+u*k+r));

Crossrefs

Column k=2 of A378239.

Cf. A006318, A371681.

Cf. A219534.

Sequence in context: A229644 A354602 A228714 * A230640 A300050 A191801

Adjacent sequences: A371690 A371691 A371692 * A371694 A371695 A371696

Keyword

nonn

Author

Seiichi Manyama, Apr 03 2024

Status

approved