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A371489 Row sums of A371259.

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%I A371489 #7 May 18 2024 15:14:18
%S A371489 1,37,1865,122961,10278281,1062714245,133215991777,19913088181377,
%T A371489 3500271565033393,714944028588443461,167950356430067342489,
%U A371489 44970653636552995400721,13617086217015989835215993,4630206565577103694905252965,1756940670213816382344684605809,739791104690854220148748269632001
%N A371489 Row sums of A371259.
%C A371489 Row sums of A371259 are the summed (2, 3)-Lah numbers (A371259).
%H A371489 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 A371489 T := proc(n) local T, k; T := proc(n, k) option remember; if
%p A371489 n = k then 1; elif k < 3 or n < k then 0; else T(n - 1, k - 1) + (n + k -
%p A371489 1)^2*T(n - 1, k); end if; end proc; add(T(n, k), k = 3 .. n); end proc; seq(T(n), n = 0 .. 18);
%Y A371489 Cf. A371259.
%K A371489 nonn
%O A371489 3,2
%A A371489 _Aleks Zigon Tankosic_, Apr 22 2024