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A245625
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Sequence of distinct least nonnegative numbers such that the average of the first n terms is a square.
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1
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0, 2, 1, 13, 4, 34, 9, 65, 16, 106, 25, 157, 36, 218, 49, 289, 64, 370, 81, 461, 100, 562, 121, 673, 144, 794, 169, 925, 196, 1066, 225, 1217, 256, 1378, 1514, 324, 1693, 361, 1882, 400, 2081, 441, 2290, 484, 2509, 529, 2738, 576, 2977, 625, 3226, 676, 3485, 729, 3754, 784, 4033, 841
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..58.
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PROG
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(PARI) v=[]; n=0; while(n<10^4, num=(vecsum(v)+n); if(num%(#v+1)==0&&vecsearch(vecsort(v), n)==0, for(i=0, n, if(i^2>(num/(#v+1)), break); if(i^2==(num/(#v+1)), print1(n, ", "); v=concat(v, n); n=0; break))); n++)
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CROSSREFS
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Cf. A085047.
Sequence in context: A037271 A074955 A352571 * A292947 A143663 A064079
Adjacent sequences: A245622 A245623 A245624 * A245626 A245627 A245628
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KEYWORD
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nonn
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AUTHOR
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Derek Orr, Nov 05 2014
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STATUS
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approved
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