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Row sums of A371081.
1

%I #11 May 19 2024 05:15:59

%S 1,17,453,17465,921233,63789145,5616599013,613148157073,

%T 81298838448001,12871080897739073,2398329378160629861,

%U 519554377953510437129,129472180384695112970705,36773246580917492621295817,11807854666147122586977709125,4255708041349122783137436409249,1710617624877842754809697811363969

%N Row sums of A371081.

%C Row sums of A371081 are the summed (2, 2)-Lah numbers (A371081).

%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 < 2 or n < k then 0; else T(n - 1, k - 1) + (n + k - 1)^2*T(n - 1, k); end if; end proc; add(T(n, k), k = 2 .. n); end proc; seq(T(n), n = 0 .. 18);

%Y Cf. A371081.

%K nonn

%O 2,2

%A _Aleks Zigon Tankosic_, Apr 22 2024