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A054207
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Consider all integer triples (i,j,k), j >= k > 0, with binomial(i+2,3)=j^3+k^3, ordered by increasing i; sequence gives k values.
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2
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2, 31, 80, 120, 282, 17, 525, 437, 386, 2479, 5253, 3268, 2952, 3875, 8894, 7182, 9457, 16397, 3401, 8629, 1830, 2518, 19976, 37326, 55340, 21182, 98642, 56358, 150673, 17220, 211196, 185129, 223680, 98763, 219284, 138712
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The i values are in A054205 and j values in A054206.
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EXAMPLE
| binomial(5+2,3)=35=2^3+3^3; binomial(95+2,3)=147440=49^3+31^3;
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MATHEMATICA
| lst = {}; Do[ b = Binomial[i + 2, 3]; j = Floor[b^(1/3)]; lmt = Ceiling[j/2]; While[ k = (b - j^3)^(1/3); j > lmt && !IntegerQ[k], j-- ]; If[j != lmt, Print[{i, j, k}]; AppendTo[lst, {i, j, k}]], {i, 2, 30000}]; Last /@ lst (* Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 15 2007 *)
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CROSSREFS
| Cf. A054205, A054206, A000292.
Sequence in context: A091252 A031920 A175446 * A104095 A030459 A141978
Adjacent sequences: A054204 A054205 A054206 * A054208 A054209 A054210
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KEYWORD
| more,nice,nonn
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AUTHOR
| Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Jan 28 2000
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EXTENSIONS
| More terms from Martin Fuller (martin_n_fuller(AT)btinternet.com), Nov 27 2006
Offset corrected by N. J. A. Sloane (njas(AT)research.att.com), Jan 14 2009
a(30)-a(36) from Jon E. Schoenfield (jonscho(AT)hiwaay.net), Jan 14 2009
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