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Search: id:A155122
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| A155122 |
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a(n) = 16 + 80*n + 140*n^2 + 100*n^3 + 24*n^4. |
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+0
1
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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
(list; graph; listen)
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OFFSET
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-1,2
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COMMENT
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Middle function 5th down in the triangle from A142463 =a[n].
{{1},
{1, 1},
{1, 2*n, 1},
{1, f[n], f[n], 1},
{1, g[n], 6 + 24 *(n - 1) + 28*(n - 1)^2 + 8* ( n - 1)^3, g[n], 1},
{1, h[n], k[n - 1] - h[n] - 1, k[n - 1] - h[n] - 1, h[n], 1}}
f[n_]=3*n^2 - (n - 1)^2;
g[n_]=-2 + 2 *n + 2* n^2 + 2 n^3;
h[n_]=-3 + 2*n + 2*n^2 + 2*n^3 + 2*n^4;
k[n_]=16+ 80*n + 140 *n^2 + 100*n^3 + 24* n^4;
These functions and the triangles they make are general Pascal-Sierpinski functions.
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FORMULA
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a(n)=16+ 80*n + 140 *n^2 + 100*n^3 + 24* n^4.
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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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CROSSREFS
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Cf. A142463
Sequence in context: A136269 A010368 A053103 this_sequence A094101 A034673 A000488
Adjacent sequences: A155119 A155120 A155121 this_sequence A155123 A155124 A155125
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KEYWORD
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nonn,new
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 20 2009
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EXTENSIONS
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Edited by the Associate Editors of the OEIS, Nov 08 2009
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