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Search: id:A155120
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| A155120 |
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Polynomial function: f(n)=-2 + 2 *n + 2* n^2 + 2 n^3. |
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+0
1
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| -2, 4, 26, 76, 166, 308, 514, 796, 1166, 1636, 2218, 2924, 3766, 4756, 5906, 7228, 8734, 10436, 12346, 14476, 16838, 19444, 22306, 25436, 28846, 32548, 36554, 40876, 45526, 50516, 55858
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Next level down in the triangle from A142463 =f[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;
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FORMULA
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f(n)=-2 + 2 *n + 2* n^2 + 2 n^3.
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MATHEMATICA
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Table[ -2 + 2 *n + 2* n^2 + 2 n^3, {n, 0, 30}]
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CROSSREFS
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A142463
Sequence in context: A128774 A129894 A028386 this_sequence A144691 A085700 A087404
Adjacent sequences: A155117 A155118 A155119 this_sequence A155121 A155122 A155123
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KEYWORD
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sign,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 20 2009
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