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32, 7776, 100000, 537824, 1889568, 5153632, 11881376, 24300000, 45435424, 79235168, 130691232, 205962976, 312500000, 459165024, 656356768, 916132832, 1252332576, 1680700000, 2219006624, 2887174368
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| a(0)=32, a(1)=7776, a(2)=100000, a(3)=537824, a(4)=1889568, a(5)=5153632, a(n)=6*a(n-1)-15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)- a(n-6) [From Harvey P. Dale, Aug 31 2011]
G.f.: (32*(x+1)*(x*(x*(x*(x+236)+1446)+236)+1))/(x-1)^6 [From Harvey P. Dale, Aug 31 2011]
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MATHEMATICA
| (4Range[0, 20]+2)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {32, 7776, 100000, 537824, 1889568, 5153632}, 20] (* From Harvey P. Dale, Aug 31 2011 *)
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CROSSREFS
| Sequence in context: A123802 A071310 A028461 * A069052 A086752 A159679
Adjacent sequences: A016826 A016827 A016828 * A016830 A016831 A016832
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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