A098545 Row sums of A098546.

1, 3, 7, 21, 51, 148, 365, 983, 2461, 6360, 15687, 39757, 97033, 240425, 582622, 1421273, 3409861, 8222920, 19565707, 46680362, 110309476, 260876036, 612293443, 1437616751, 3354111156, 7823501148, 18157700800, 42112132458

Offset

1,2

Comments

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).

Links

Table of n, a(n) for n=1..28.

Formula

a(n) = Sum_{k=1..n} binomial(n, k)*A008284(n, k). - Vladeta Jovovic, Jul 24 2005

Example

A098546 begins
1
1 2
1 3 3
1 4 6 6 4
so sequence begins 1 3 7 21 ...

Crossrefs

Cf. A000041, A000312.

Sequence in context: A181393 A036569 A018303 * A161707 A368773 A192068

Adjacent sequences: A098542 A098543 A098544 * A098546 A098547 A098548

Keyword

easy,nonn

Author

Alford Arnold, Sep 14 2004

Extensions

More terms from Vladeta Jovovic, Jul 24 2005

Status

approved