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Search: id:A096161
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| 1, 3, 8, 30, 133, 768, 5221, 41302, 369170, 3677058, 40338310, 483134179, 6271796072, 87709287104, 1314511438945, 21017751750506, 357102350816602, 6424883282375340, 122025874117476166, 2439726373093186274
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OFFSET
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1,2
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COMMENT
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The row sum sequence for A036038 is the sum of multinomial coefficients A005651 The row sum sequence for A036040 is the Bell number sequence A000110
Also, partitions such that a set of k equal terms are labeled 1 through k and can appear in any order. For example, the partition 3+2+2+2+1+1+1+1 of 13 appears 1!*3!*4!=144 times because there are 1! ways to order the one "3," 3! ways to order the three "2"s, ... - Christian G. Bower (bowerc(AT)usa.net), Jan 17 2006
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FORMULA
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G.f.: B(x)*B(x^2)*B(x^3)*... where B(x) is g.f. of A000142. (Christian G. Bower (bowerc(AT)usa.net), Jan 17 2006)
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EXAMPLE
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1 1 2 1 3 6 1 4 6 12 24 ... A036038
1 1 1 1 3 1 1 4 3 6 1 ... A036040
1 1 2 1 1 6 1 1 2 2 24 ... A096162
so a(n) begins 1 3 8 30 ... A096161
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CROSSREFS
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Cf. A005651, A000110, A036038, A036040, A096162.
Sequence in context: A148888 A151440 A162560 this_sequence A161779 A074501 A009123
Adjacent sequences: A096158 A096159 A096160 this_sequence A096162 A096163 A096164
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KEYWORD
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nonn
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Jun 18 2004
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 22 2004
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