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Search: id:A078436
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| A078436 |
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Triangle read by rows in which n-th row counts multisets associated with hook partitions. |
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+0
2
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| 1, 2, 0, 3, 4, 0, 4, 6, 8, 0, 5, 8, 12, 16, 0, 6, 10, 16, 24, 32, 0, 7, 12, 20, 32, 48, 64, 0, 8, 14, 24, 40, 64, 96, 128, 0, 9, 16, 28, 48, 80, 128, 192, 256, 0, 10, 18, 32, 56, 96, 160, 256, 384, 512, 0, 11, 20, 36, 64, 112, 192, 320, 512, 768, 1024, 0, 12, 22, 40, 72, 128
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums appear to be A077802. When more general partition types are included, such as 22^(n-4) yielding 9 18 36 72 ..., the array row sums becomes 1,2,7,18,50,118,301,... in agreement with A074141.
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FORMULA
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G.f.: x*y*(2-x)/(1-2*x*y)/(1-x)^2. - Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 31 2002
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EXAMPLE
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Triangle begins 1; 2,0; 3,4,0; 4,6,8,0; 5,8,12,16,0; ...
a(13) = 12 because we find 1 + 3 + 4 + 3 + 1 multisets of type 21^(n-2): they are 4; 14,24,34; 114,124,134,234; 1124,1134,1234; and 11234
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CROSSREFS
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Cf. A077802, A074139, A074141.
Sequence in context: A153250 A102389 A099091 this_sequence A117909 A091538 A013584
Adjacent sequences: A078433 A078434 A078435 this_sequence A078437 A078438 A078439
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Alford Arnold (Arnold1940(AT)aol.com), Dec 30 2002
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 31 2002
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