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A214085
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n^2 * (n^4 - n^2 + n + 1) / 2.
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2
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0, 1, 30, 342, 1960, 7575, 22806, 57820, 129312, 262845, 495550, 879186, 1483560, 2400307, 3747030, 5671800, 8358016, 12029625, 16956702, 23461390, 31924200, 42790671, 56578390, 73884372, 95392800, 121883125, 154238526, 193454730, 240649192, 297070635
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OFFSET
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0,3
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COMMENTS
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Row sums of the triangle in A214084.
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LINKS
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FORMULA
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G.f.: x*(1+23*x+153*x^2+161*x^3+22*x^4)/(1-x)^7. - Bruno Berselli, Jul 09 2012
a(0)=0, a(1)=1, a(2)=30, a(3)=342, a(4)=1960, a(5)=7575, a(6)=22806, 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). - Harvey P. Dale, Dec 12 2012
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MATHEMATICA
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Table[n^2 (n^4 - n^2 + n + 1)/2, {n, 0, 29}] (* Bruno Berselli, Jul 09 2012 *)
LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 1, 30, 342, 1960, 7575, 22806}, 40] (* Harvey P. Dale, Dec 12 2012 *)
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PROG
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(Haskell)
a214085 n = n^2 * (n^4 - n^2 + n + 1) `div` 2
(Magma) [n^2*(n^4-n^2+n+1)/2: n in [0..29]]; // Bruno Berselli, Jul 09 2012
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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