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Row sums of A372208.
0

%I #9 Jul 07 2024 13:17:22

%S 1,217,74817,38539585,28298839105,28542001395321,38373467110900417,

%T 67090004454772224577,149396282278530354664065,

%U 416286791407819616695337305,1429531867781567785731492164161,5970020679482790599504907148094337,29968790185674786127576736257632006337,178970673260482220421285467858990357293945

%N Row sums of A372208.

%H A. Žigon Tankosič, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL26/Tankosic/tank2.html">The (l,r)-Lah Numbers</a>, Journal of Integer Sequences, Article 23.2.6, vol. 26 (2023).

%p T := proc(n) local T, k; T := proc(n, k) option remember; if n = k then 1; elif k < 3 or n < k then 0; else T(n - 1, k - 1) + (n + k - 1)^3*T(n - 1, k); end if; end proc; add(T(n, k), k = 3 .. n); end proc;

%p seq(T(n), n = 0 .. 18);

%Y Cf. A372208.

%K nonn

%O 1,2

%A _Aleks Zigon Tankosic_, Jun 17 2024