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A271740
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a(n) = 3*n^2 - 2*n + 2.
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2
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2, 3, 10, 23, 42, 67, 98, 135, 178, 227, 282, 343, 410, 483, 562, 647, 738, 835, 938, 1047, 1162, 1283, 1410, 1543, 1682, 1827, 1978, 2135, 2298, 2467, 2642, 2823, 3010, 3203, 3402, 3607, 3818, 4035, 4258, 4487, 4722, 4963, 5210, 5463, 5722, 5987, 6258, 6535, 6818, 7107, 7402, 7703
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OFFSET
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0,1
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COMMENTS
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LINKS
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FORMULA
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O.g.f.: (3 + x + 2*x^2)/(1 - x)^3.
E.g.f.: (3 + 7*x + 3*x^2)*exp(x). (End)
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MAPLE
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MATHEMATICA
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Table[3 n^2 - 2 n + 2, {n, 0, 50}]
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PROG
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(PARI) a(n) = 3*n^2 - 2*n + 2; \\ Altug Alkan, Apr 13 2016
(Magma) [3*n^2 - 2*n + 2: n in [0..50]]; // Bruno Berselli, Apr 13 2016
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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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EXTENSIONS
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Definition changed so sequence starts one term earlier. Some formulas may need adjusting. - N. J. A. Sloane, Jun 22 2021
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STATUS
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approved
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