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%I #6 Dec 12 2021 21:08:00
%S 0,1,4,12,34,89,226,554,1328,3104,7158,16235,36420,80797,177789,
%T 387968,841696,1814473,3892920,8313588,17686711,37486091,79213997,
%U 166888364,350720648,735273025,1538259673,3211682091,6693935172,13928034709,28936571039,60032053097
%N a(n) = Sum_{k=0..n} k*A349976(n, k).
%Y Cf. A349976.
%K nonn
%O 0,3
%A _Peter Luschny_, Dec 12 2021