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Search: id:A135214
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| A135214 |
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a(1)=1, a(n)=a(n-1)+n^5 if n odd, a(n)=a(n-1)+ n^4 if n is even. |
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+0
2
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| 1, 17, 260, 516, 3641, 4937, 21744, 25840, 84889, 94889, 255940, 276676, 647969, 686385, 1445760, 1511296, 2931153, 3036129, 5512228, 5672228, 9756329, 9990585, 16426928, 16758704, 26524329, 26981305, 41330212, 41944868, 62456017
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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O.g.f.: x(1+x^2)(x^8-16x^7+236x^6-144x^5+1446x^4+144x^3+236x^2+16x+1)/ ((1-x)^7 *(1+x)^6) . a(2n-1)=n(-8+80n^2+48n^4+80n^5+35n-220n^3)/15. a(2n)=n(-8+80n^2+48n^4+80n^5+35n+20n^3)/15 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 17 2008
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MATHEMATICA
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a = {}; r = 5; s = 4; Do[k = 0; Do[k = k + (Sin[Pi m/2]^2) m^r + (Cos[Pi m/2]^2) m^s, {m, 1, n}]; AppendTo[a, k], {n, 1, 100}]; a (*Artur Jasinski*)
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CROSSREFS
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Cf. A000027, A000217, A000330, A000537, A000538, A000539, A136047, A140113.
Sequence in context: A014898 A048446 A001282 this_sequence A090380 A142898 A159678
Adjacent sequences: A135211 A135212 A135213 this_sequence A135215 A135216 A135217
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KEYWORD
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nonn
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AUTHOR
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Jasinski Artur (grafix(AT)csl.pl), May 12 2008
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