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 A136312 Cubes that are the sum of 2 or more consecutive positive squares. 1
 103823, 274625, 781229961, 10091699281, 22425768000, 1853614522304, 2277044900416, 4708686519081, 6168761704000, 82312875000000, 235125028708361, 259266910222125, 269648738245125, 291658484677013, 980893000925279, 1568173521032000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE 103823 is the sum of 47 consecutive squares from 22^2 to 68^2. 82312875000000 is the sum of 10368 consecutive squares from 83868^2 to 94235^2. PROG (PARI) find(lim)=my(t, v=List()); for(k=2, (3*lim)^(1/3), t=k*(k-1)*(2*k-1)/6; for(n=k, (k-1)/2+sqrt(lim/k-(k^2-1)/12), if(ispower(t+=n^2-(n-k)^2, 3), listput(v, t)))); vecsort(Vec(v), , 8) \\ Charles R Greathouse IV, Jun 11 2011 CROSSREFS Cf. A131643, A000578, A000290. Sequence in context: A147526 A171162 A210180 * A205260 A076761 A129241 Adjacent sequences:  A136309 A136310 A136311 * A136313 A136314 A136315 KEYWORD nonn,changed AUTHOR Donovan Johnson, Mar 23 2008 EXTENSIONS Edited definition and a(11)-a(14) from Donovan Johnson, Oct 01 2010 a(15)-a(16) from Donovan Johnson, Jun 11 2011 STATUS approved

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