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Search: id:A116149
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| A116149 |
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a(n)=sum of n consecutive cubes after n^3. |
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+0
3
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| 8, 91, 405, 1196, 2800, 5643, 10241, 17200, 27216, 41075, 59653, 83916, 114920, 153811, 201825, 260288, 330616, 414315, 512981, 628300, 762048, 916091, 1092385, 1292976, 1520000, 1775683, 2062341, 2382380, 2738296, 3132675, 3568193
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n)=(1/4)*n^2*(1 + 3*n)*(3 + 5*n)
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EXAMPLE
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a(1)=(sum of 1 cube after 1^3) =2^3=8,
a(2)=(sum of 2 cubes after 2^3)=3^3+4^3=91,
a(3)=(sum of 3 cubes after 3^3)=4^3+5^3+6^3=405,
a(4)=(sum of 4 cubes after 4^3)=5^3+6^3+7^3+8^3=1196.
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CROSSREFS
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Adjacent sequences: A116146 A116147 A116148 this_sequence A116150 A116151 A116152
Sequence in context: A056784 A092956 A034667 this_sequence A133271 A099142 A007556
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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), Apr 14 2007
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