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A022279
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a(n) = n*(21*n + 1)/2.
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2
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0, 11, 43, 96, 170, 265, 381, 518, 676, 855, 1055, 1276, 1518, 1781, 2065, 2370, 2696, 3043, 3411, 3800, 4210, 4641, 5093, 5566, 6060, 6575, 7111, 7668, 8246, 8845, 9465, 10106, 10768, 11451, 12155
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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)=11, a(2)=43; for n>2, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, May 06 2014
G.f.: x*(10*x + 11)/(1-x)^3.
E.g.f.: (x/2)*(21*x + 22)*exp(x). (End)
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MATHEMATICA
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LinearRecurrence[{3, -3, 1}, {0, 11, 43}, 40] (* Harvey P. Dale, May 06 2014 *)
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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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STATUS
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approved
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