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Search: id:A165187
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| 1, 24, 180, 800, 2625, 7056, 16464, 34560, 66825, 121000, 207636, 340704, 538265, 823200, 1224000, 1775616, 2520369, 3508920, 4801300, 6468000, 8591121, 11265584, 14600400, 18720000, 23765625, 29896776, 37292724, 46154080, 56704425, 69192000
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OFFSET
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1,2
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COMMENT
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a(n) is row 30 of Table A128629 and can be generated by multiplying rows
two, three and five (or any other combination of rows with a row number product of 30).
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FORMULA
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a(n)=A000027(n)*A000217(n)*A000292(n) = A128629(30,n).
a(n)= 7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)-7*a(n-6)+a(n-7). G.f.: -x*(1+17*x+33*x^2+9*x^3)/(x-1)^7.
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EXAMPLE
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1,2,3,4,5,...A000027 times 1,3,6,10,15,...A000217 times 1,4,10,20,35, ...A000292 yields 1,24,180,800,...
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CROSSREFS
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Cf. A128629
Sequence in context: A019583 A087887 A166756 this_sequence A052761 A073993 A052758
Adjacent sequences: A165184 A165185 A165186 this_sequence A165188 A165189 A165190
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KEYWORD
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nonn,easy
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Sep 06 2009
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EXTENSIONS
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Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 09 2009
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