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A116145 Squares that are equal to the sum of 5 consecutive cubes. +0
1
0, 100, 225, 99225, 4708900, 8643600 (list; graph; listen)
OFFSET

1,2

COMMENT

m^3+(m+1)^3+(m+2)^3+(m+3)^3+(m+4)^3=5*(2+m)*(10+4*m+m^2). Corresponding values of m are -2,0,1,25,96,118.

Using the theory of elliptic curves one can show that there are no other terms. - Jaap Spies, May 28 2007

CROSSREFS

Cf. A024670, A027602, A027604, A116108.

Sequence in context: A053402 A122467 A027604 this_sequence A104908 A109633 A124437

Adjacent sequences: A116142 A116143 A116144 this_sequence A116146 A116147 A116148

KEYWORD

fini,nonn,full

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Apr 14 2007

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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