login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A357544
Central terms of triangle A357540: a(n) = A357540(2*n,n).
1
1, 800, 500121600, 6333406238720000, 588750579021316096000000, 243397196351152229173100544000000, 331908261581281694863434866648678400000000, 1223826698292228823742554320600270140080128000000000, 10588007775487579454220040763957899854099800653824000000000000
OFFSET
0,2
PROG
(PARI) {A357540(n, k) = my(S = serreverse( intformal( 1/((1 + x^3)^2*(1 + r^3*x^3)^2 +O(x^(3*n+3)) )^(1/3) )) );
(3*n+1)!*polcoeff( polcoeff(S, 3*n+1, x), 3*k, r)}
for(n=0, 15, print1( A357540(2*n, n), ", "));
CROSSREFS
Cf. A357540.
Sequence in context: A035757 A023100 A107553 * A031897 A325380 A259949
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Oct 10 2022
STATUS
approved