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A371495 G.f. A(x) satisfies A(x) = 1 / (1 - x*A(x) / (1+x))^3. 4
1, 3, 12, 64, 381, 2430, 16227, 112008, 792717, 5721165, 41945373, 311529831, 2338909219, 17722127580, 135346614906, 1040779011412, 8051611785006, 62620659604659, 489339248275242, 3840135625895886, 30251386980891657, 239138782521553659, 1896380840948325606 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n-1,n-k) * binomial(4*k+2,k)/(k+1).
PROG
(PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n-1, n-k)*binomial(4*k+2, k)/(k+1));
CROSSREFS
Cf. A006632.
Sequence in context: A365122 A233397 A206226 * A326809 A326557 A308204
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Mar 25 2024
STATUS
approved

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Last modified June 19 19:59 EDT 2024. Contains 373507 sequences. (Running on oeis4.)