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A022275
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a(n) = n*(17*n + 1)/2.
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3
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0, 9, 35, 78, 138, 215, 309, 420, 548, 693, 855, 1034, 1230, 1443, 1673, 1920, 2184, 2465, 2763, 3078, 3410, 3759, 4125, 4508, 4908, 5325, 5759, 6210, 6678, 7163, 7665, 8184, 8720, 9273, 9843, 10430, 11034, 11655, 12293, 12948, 13620, 14309, 15015
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OFFSET
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0,2
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LINKS
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FORMULA
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a(0)=0, a(1)=9, a(2)=35; for n>2, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, May 06 2013
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MATHEMATICA
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Table[n (17 n + 1)/2, {n, 0, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 9, 35}, 40] (* Harvey P. Dale, May 06 2013 *)
CoefficientList[Series[x (9 + 8 x) / (1 - x)^3, {x, 0, 40}], x] (* Vincenzo Librandi, Mar 31 2015 *)
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PROG
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CROSSREFS
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Cf. similar sequences listed in A022289.
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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