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Search: id:A098545
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A098545 Row sums of A098546, which has A000041(n) entries per row. +0
3
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 (list; graph; listen)
OFFSET

1,2

COMMENT

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).

FORMULA

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

EXAMPLE

A098546 begins

1

1 2

1 3 3

1 4 6 6 4

so a(n) begins 1 3 7 21 ...

CROSSREFS

Cf. A000041, A000312.

Sequence in context: A050614 A036569 A018303 this_sequence A161707 A151267 A091489

Adjacent sequences: A098542 A098543 A098544 this_sequence A098546 A098547 A098548

KEYWORD

easy,nonn

AUTHOR

Alford Arnold (Alford1940(AT)aol.com), Sep 14 2004

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 24 2005

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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