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A217873
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a(n) = 4*n*(n^2 + 2)/3.
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4
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0, 4, 16, 44, 96, 180, 304, 476, 704, 996, 1360, 1804, 2336, 2964, 3696, 4540, 5504, 6596, 7824, 9196, 10720, 12404, 14256, 16284, 18496, 20900, 23504, 26316, 29344, 32596, 36080, 39804, 43776, 48004, 52496, 57260, 62304, 67636, 73264, 79196, 85440, 92004
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OFFSET
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0,2
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COMMENTS
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Occurs as 4th column in the table A142978 of figurate numbers for n-dimensional cross polytope.
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LINKS
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FORMULA
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Binomial transformation of (a(n), n > 0) is A082138. (End)
G.f. 4*x*(1 + x^2) / (x - 1)^4 . - R. J. Mathar, Oct 15 2012
a(0)=0, a(1)=4, a(2)=16, a(3)=44, a(n)=4*a(n-1)-6*a(n-2)+4*a(n-3)- a(n-4). - Harvey P. Dale, Mar 16 2015
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MATHEMATICA
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LinearRecurrence[{4, -6, 4, -1}, {0, 4, 16, 44}, 50] (* Harvey P. Dale, Mar 16 2015 *)
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PROG
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(PARI) a(n)=(n^2+2)*n/3*4
(Maxima) makelist(4*n*(n^2+2)/3, n, 0, 41); /* Martin Ettl, Oct 15 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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