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Search: id:A154293
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| A154293 |
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Integers of the form : 1/6+2/6+3/6+4/6+5/6+.... |
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+0
16
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| 0, 1, 6, 11, 13, 20, 35, 46, 50, 63, 88, 105, 111, 130, 165, 188, 196, 221, 266, 295, 305, 336, 391, 426, 438, 475, 540, 581, 595, 638, 713, 760, 776, 825, 910, 963, 981, 1036, 1131, 1190, 1210, 1271, 1376, 1441, 1463, 1530, 1645, 1716, 1740, 1813, 1938, 2015
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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1/6+2/6+3/6=1, 1/6+2/6+3/6+4/6+5/6+6/6+7/6+8/6=6,...
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FORMULA
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a(n) = A000217(A108752(n))/6. Conjecture: G.f. x(x^2-x+1)(x^2+4x+1)/((1+x^2)^2*(1-x)^3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 07 2009]
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MATHEMATICA
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lst={}; s=0; Do[s+=n/6; If[Floor[s]==s, AppendTo[lst, s]], {n, 0, 7!}]; lst
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CROSSREFS
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Cf. A001318, A074378, A057569, A057570, A154292
Sequence in context: A046953 A121765 A102974 this_sequence A068308 A163871 A140394
Adjacent sequences: A154290 A154291 A154292 this_sequence A154294 A154295 A154296
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 06 2009
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