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Search: id:A140161
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| A140161 |
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a(1)=1, a(n)=a(n-1)+n^4 if n odd, a(n)=a(n-1)+ n^5 if n is even. |
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+0
2
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| 1, 33, 114, 1138, 1763, 9539, 11940, 44708, 51269, 151269, 165910, 414742, 443303, 981127, 1031752, 2080328, 2163849, 4053417, 4183738, 7383738, 7578219, 12731851, 13011692, 20974316, 21364941, 33246317, 33777758, 50988126
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n)=a(n-1)+{[1-(-1)^n]/2}*n^4+{[1+(-1)^n]/2}*n^5, with a(1)=1 a(n)= (-1/8)+(1/4)*(-1)^n*n+(1/8)*(-1)^n-(1/2)*(-1)^n*n^3+(1/6)*n^3-(5/8)*(-1)^n*n^2-(1/24)*n^2-(1/60) *n+(1/12)*n^6+(1/4)*(-1)^n*n^5+(7/20)*n^5+(3/8)*(-1)^n*n^4+(11/24)*n^4 , with n>=1 - Paolo P. Lava (ppl(AT)spl.at), Jun 06 2008
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MATHEMATICA
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a = {}; r = 4; s = 5; 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: A039520 A044284 A044665 this_sequence A039440 A010020 A007419
Adjacent sequences: A140158 A140159 A140160 this_sequence A140162 A140163 A140164
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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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