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URL: https://oeis.org/A361835

⇱ A361835 - OEIS

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A361835
a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(2*k,k) * binomial(n*k,n-k).
5
1, 2, 2, -10, -10, 242, -678, -7054, 88342, -207646, -6015904, 88310862, -312514816, -8847633338, 184252541514, -1269592841970, -17662739133178, 634109114537218, -7914500471718552, -18165019012117450, 2936604063787679650, -62899139815867627378
OFFSET
0,2
LINKS
FORMULA
a(n) = [x^n] 1/sqrt(1 - 4*x*(1-x)^n).
PROG
(PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(2*k, k)*binomial(n*k, n-k));
CROSSREFS
Main diagonal of A361834.
Sequence in context: A147801 A367545 A263053 * A066965 A066966 A132443
KEYWORD
sign
AUTHOR
Seiichi Manyama, Mar 26 2023
STATUS
approved