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Search: id:A126951
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| A126951 |
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List of pairs: n followed by n^3. |
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+0
1
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| 1, 1, 2, 8, 3, 27, 4, 64, 5, 125, 6, 216, 7, 343, 8, 512, 9, 729, 10, 1000, 11, 1331, 12, 1728, 13, 2197, 14, 2744, 15, 3375, 16, 4096, 17, 4913, 18, 5832, 19, 6859, 20, 8000, 21, 9261, 22, 10648, 23, 12167, 24, 13824, 25, 15625, 26, 17576, 27, 19683, 28, 21952
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OFFSET
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1,3
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FORMULA
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a(n) = (n+1)/2 if n is odd, a(n)=(n/2)^3 otherwise; a(n) = [((((-1)^(n+1))+1)/4)(n+1)- ((((-1)^(n+1))-1)/16)n^3; G.f.: (x + x^2 - 2*x^3 + 4*x^4 + x^5 + x^6)/(1 - x^2)^4.
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MATHEMATICA
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Table[((((-1)^(n+1))+1)/4)(n+1)- ((((-1)^(n+1))-1)/16)n^3, {n, 64}]
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CROSSREFS
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Cf. A000463, A109588, A109594-5, A109614-6, A110001, A110003-5, A110008-9, A110485, A110622, A110650-3.
Sequence in context: A011057 A082236 A083003 this_sequence A076588 A068565 A092042
Adjacent sequences: A126948 A126949 A126950 this_sequence A126952 A126953 A126954
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)gmail.com), Mar 18 2007
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