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2, 7, 18, 35, 58, 87, 122, 163, 210, 263, 322, 387, 458, 535, 618, 707, 802, 903, 1010, 1123, 1242, 1367, 1498, 1635, 1778, 1927, 2082, 2243, 2410, 2583, 2762, 2947, 3138, 3335, 3538, 3747, 3962, 4183, 4410, 4643, 4882, 5127, 5378, 5635, 5898, 6167, 6442
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| First bisection of A133146.
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
| a(n) = A133146(2n-2) = (n-2)^2+(n-1)(n+1)+n^2.
First differences: a(n+1)-a(n) = A016969(n-1). Second differences are A010722, third differences are A000004.
G.f.: x(2+x+3x^2)/(1-x)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 15 2008
a(n)=6*n+a(n-1)-7 (with a(1)=2) [From Vincenzo Librandi, Nov 25 2010]
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MATHEMATICA
| s=2; lst={s}; Do[s+=n+5; AppendTo[lst, s], {n, 0, 6!, 6}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 04 2008]
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CROSSREFS
| Sequence in context: A195605 A184096 A136583 * A172188 A077131 A176854
Adjacent sequences: A141628 A141629 A141630 * A141632 A141633 A141634
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KEYWORD
| nonn,less,easy
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Aug 28 2008
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EXTENSIONS
| Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 15 2008
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