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a(n) = Sum_{k=0..n} BellPolynomial(n, k), row sums of A350263.
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%I #4 Dec 23 2021 10:06:53

%S 1,1,8,84,1174,20680,440593,11024076,316969656,10299839283,

%T 373313501065,14932585789000,653449085198220,31053925215635803,

%U 1592721740865950464,87690229418143373920,5158511908430168388088,322910810936913397280700,21431596667884889101766973

%N a(n) = Sum_{k=0..n} BellPolynomial(n, k), row sums of A350263.

%t Table[Sum[BellB[n, k], {k, 0, n}], {n, 0, 18}]

%Y Cf. A350263.

%K nonn

%O 0,3

%A _Peter Luschny_, Dec 23 2021