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A033580
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Four times second pentagonal numbers: 2*n*(3*n+1).
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6
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0, 8, 28, 60, 104, 160, 228, 308, 400, 504, 620, 748, 888, 1040, 1204, 1380, 1568, 1768, 1980, 2204, 2440, 2688, 2948, 3220, 3504, 3800, 4108, 4428, 4760, 5104, 5460, 5828, 6208, 6600, 7004, 7420, 7848
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Subsequence of A062717: a010052(6*a(n)+1) = 1. [Reinhard Zumkeller, Feb 21 2011]
Sequence found by reading the line from 0, in the direction 0, 8,..., in the square spiral whose vertices are the generalized pentagonal numbers A001318. Opposite numbers to the members of A139267 in the same spiral - Omar E. Pol, Sep 09 2011
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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) = 12*n+a(n-1)-4 (with a(0)=0). - Vincenzo Librandi, Aug 05 2010
G.f.: 4*x*(2+x)/(1-x)^3. - Colin Barker, Feb 13 2012
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MATHEMATICA
| s=0; lst={s}; Do[s+=n++ +8; AppendTo[lst, s], {n, 0, 8!, 12}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]
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CROSSREFS
| Cf. A049451, A045945, A033579, A186423.
Sequence in context: A001486 A173681 A045850 * A007331 A002408 A101127
Adjacent sequences: A033577 A033578 A033579 * A033581 A033582 A033583
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KEYWORD
| nonn,easy,changed
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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