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Search: id:A155121
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| A155121 |
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Polynomial function: f(n)=-3 + 2 n + 2 n^2 + 2 n^3 + 2*n^4. |
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+0
1
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| -3, 5, 57, 237, 677, 1557, 3105, 5597, 9357, 14757, 22217, 32205, 45237, 61877, 82737, 108477, 139805, 177477, 222297, 275117, 336837, 408405, 490817, 585117, 692397, 813797, 950505, 1103757, 1274837, 1465077, 1675857
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Second 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)=-3 + 2 n + 2 n^2 + 2 n^3 + 2*n^4.
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MATHEMATICA
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Table[ -3 + 2 n + 2 n^2 + 2 n^3 + 2*n^4, {n, 0, 30}]
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CROSSREFS
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A142463
Sequence in context: A020462 A087602 A086340 this_sequence A106914 A049190 A158314
Adjacent sequences: A155118 A155119 A155120 this_sequence A155122 A155123 A155124
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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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