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A299428
a(n) = binomial((n+1)*(2*n+1), n) * (n+1)/(2*n+1).
3
1, 4, 63, 1872, 82775, 4874688, 358919022, 31726703424, 3273365223135, 386120802767700, 51255818495200660, 7561964058268969440, 1227474574989496660008, 217398508335873934190800, 41718377034325560258265500, 8622580886584109407750765824, 1909661474657747399115123743055, 451173386162679212279972033149500
OFFSET
0,2
COMMENTS
Main diagonal of square table A299427.
LINKS
FORMULA
a(n) ~ 2^(n - 3/2) * exp(n + 5/4) * n^(n - 1/2) / sqrt(Pi). - Vaclav Kotesovec, Feb 19 2018
PROG
(PARI) {a(n) = binomial((n+1)*(2*n+1), n) * (n+1)/(2*n+1)}
for(n=0, 20, print1(a(n), ", "))
CROSSREFS
Sequence in context: A177788 A293860 A349075 * A274392 A237644 A024256
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Feb 19 2018
EXTENSIONS
a(15) corrected by Seiichi Manyama, Feb 10 2019
STATUS
approved