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Row sums of A098546.
3

%I #14 Mar 28 2020 05:19:07

%S 1,3,7,21,51,148,365,983,2461,6360,15687,39757,97033,240425,582622,

%T 1421273,3409861,8222920,19565707,46680362,110309476,260876036,

%U 612293443,1437616751,3354111156,7823501148,18157700800,42112132458

%N Row sums of A098546.

%C By using multisets (cf. A001700) and multinomials (cf. A005651); A035206 and A036038 were used to generate A049009 (Words over signatures). A098346 and A049019 provide another approach to the same end (compare A090657).

%F a(n) = Sum_{k=1..n} binomial(n, k)*A008284(n, k). - _Vladeta Jovovic_, Jul 24 2005

%e A098546 begins

%e 1

%e 1 2

%e 1 3 3

%e 1 4 6 6 4

%e so sequence begins 1 3 7 21 ...

%Y Cf. A000041, A000312.

%K easy,nonn

%O 1,2

%A _Alford Arnold_, Sep 14 2004

%E More terms from _Vladeta Jovovic_, Jul 24 2005