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A090386
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Fifth diagonal (m=4) of triangle A084938; a(n) = A084938(n+4,n) = (n^4 + 18*n^3 + 131*n^2 + 426*n)/24.
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2
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0, 24, 64, 126, 217, 345, 519, 749, 1046, 1422, 1890, 2464, 3159, 3991, 4977, 6135, 7484, 9044, 10836, 12882, 15205, 17829, 20779, 24081, 27762, 31850, 36374, 41364, 46851, 52867, 59445, 66619, 74424, 82896, 92072, 101990, 112689
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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)=24, a(2)=64, a(3)=126, a(4)=217, a(n)=5*a(n-1)- 10*a(n-2)+ 10*a(n-3)-5*a(n-4)+a(n-5). - Harvey P. Dale, Feb 23 2014
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MATHEMATICA
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Table[(n^4+18n^3+131n^2+426n)/24, {n, 0, 40}] (* or *) LinearRecurrence[ {5, -10, 10, -5, 1}, {0, 24, 64, 126, 217}, 40] (* Harvey P. Dale, Feb 23 2014 *)
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PROG
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(Magma) [(n^4+18*n^3+131*n^2+426*n)/24: n in [0..40]]; // Vincenzo Librandi, Feb 24 2014
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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