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A155122
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a(n) = 4*(3*n+2)*(2*n+1)*(n+2)*(n+1).
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2
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0, 16, 360, 1920, 6160, 15120, 31416, 58240, 99360, 159120, 242440, 354816, 502320, 691600, 929880, 1224960, 1585216, 2019600, 2537640, 3149440, 3865680, 4697616, 5657080, 6756480, 8008800, 9427600, 11027016, 12821760, 14827120, 17058960
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OFFSET
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-1,2
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COMMENTS
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Middle function 5th down in the triangle A155120.
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LINKS
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G. C. Greubel, Table of n, a(n) for n = -1..1000
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
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FORMULA
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a(n) = 16 + 80*n + 140*n^2 + 100*n^3 + 24*n^4.
G.f.: 8*(2 +35*x +35*x^2)/(1-x)^5.
E.g.f.: 4*(4 + 86*x + 152*x^2 + 61*x^3 + 6*x^4)*exp(x). - G. C. Greubel, Mar 25 2021
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MAPLE
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seq( 4*(3*n+2)*(2*n+1)*(n+2)*(n+1), n=-1..30); # G. C. Greubel, Mar 25 2021
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MATHEMATICA
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Table[16 +80*n +140*n^2 +100*n^3 +24*n^4, {n, -1, 30}]
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PROG
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(Magma) [4*(3*n+2)*(2*n+1)*(n+2)*(n+1): n in [-1..30]]; // G. C. Greubel, Mar 25 2021
(Sage) [4*(3*n+2)*(2*n+1)*(n+2)*(n+1) for n in (-1..30)] # G. C. Greubel, Mar 25 2021
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CROSSREFS
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Cf. A142463.
Sequence in context: A171680 A208706 A278622 * A094101 A034673 A000488
Adjacent sequences: A155119 A155120 A155121 * A155123 A155124 A155125
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KEYWORD
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nonn,easy
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AUTHOR
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Roger L. Bagula, Jan 20 2009
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EXTENSIONS
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Edited by the Associate Editors of the OEIS, Nov 08 2009, Dec 15 2010
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STATUS
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approved
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