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A154106
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12*n^2+22*n+11.
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3
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11, 45, 103, 185, 291, 421, 575, 753, 955, 1181, 1431, 1705, 2003, 2325, 2671, 3041, 3435, 3853, 4295, 4761, 5251, 5765, 6303, 6865, 7451, 8061, 8695, 9353, 10035, 10741, 11471, 12225, 13003, 13805, 14631, 15481, 16355, 17253, 18175, 19121
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
| G.f.: (1+x)*(11+x)/(1-x)^3.
a(n) = 2*n*A016969(n+1)+11.
a(0) = 11; for n > 0, a(n) = a(n-1)+24*n+10.
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EXAMPLE
| a(3) = 12*3^2+22*3+11 = 185 = 2*3*29+11 = 2*3*A016969(4)+11.
a(4) = a(3)+24*4+10 = 185+96+10 = 291.
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MATHEMATICA
| Table[12n^2+22n+11, {n, 0, 50}] (* From Harvey P. Dale, Mar 16 2011 *)
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PROG
| (MAGMA) [ 12*n^2+22*n+11: n in [0..39] ];
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CROSSREFS
| Cf. A016969 (6n+5), A153286.
Cf. A194454.
Sequence in context: A042521 A041228 A022280 * A057813 A051740 A144932
Adjacent sequences: A154103 A154104 A154105 * A154107 A154108 A154109
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KEYWORD
| nonn,easy
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jan 04 2009
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