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A084873
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Number of 6-multiantichains of an n-set.
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0
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1, 2, 9, 73, 1212, 44667, 3251186, 345094227, 39552733796, 4234657495267, 409948262617398, 36190736880911571, 2964860272283578040, 229165985114590010307, 16940021231116707830570
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Goran Kilibarda and Vladeta Jovovic, Antichains of Multisets, J. Integer Seqs., Vol. 7, 2004.
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FORMULA
| (1/6!)*(64^n - 30*48^n+120*40^n+60*36^n+60*34^n - 12*33^n - 315*32^n - 720*30^n+810*28^n+120*27^n+480*26^n+360*25^n - 1080*24^n - 720*23^n - 240*22^n - 540*21^n+3180*20^n+750*19^n+660*18^n+90*17^n - 4535*16^n - 5420*15^n+6750*14^n+5400*13^n - 13620*12^n+900*11^n+16440*10^n+2740*9^n - 12165*8^n+4110*7^n - 25650*6^n+25650*5^n+10474*4^n - 20948*3^n+7560*2^n).
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CROSSREFS
| Cf. A016269, A047707, A051112-A051118, A084869-A084883.
Sequence in context: A108995 A184358 A132843 * A103996 A015473 A029849
Adjacent sequences: A084870 A084871 A084872 * A084874 A084875 A084876
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KEYWORD
| nonn
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AUTHOR
| Goran Kilibarda, Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 10 2003
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