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A060861
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Least number of the form x^2 + y^3 (x, y nonnegative) in exactly n ways.
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1
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3, 0, 1, 225, 1025, 92025, 1334025, 5472225, 35964225, 930860225, 1000837225, 4979585600, 38515961025, 88154795025, 2046945411225, 88813460025, 5684061441600, 13052612865600, 64745012358225
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| A045634(a(n)) = n and A045634(m) <> n for m < a(n). [Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 17 2010]
a(n) > 2*10^14 for n >= 19. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Dec 13 2008]
a(19) <= 4143680790926400 = 64*a(18) [From Jon E. Schoenfield (jonscho(AT)hiwaay.net), Aug 11 2010]
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EXAMPLE
| a(3)=225: A045634(225) = #{15^2+0^3, 10^2+5^3, 3^2+6^3} = 3;
a(4)=1025: A045634(1025) = #{32^2+1^3, 31^2+4^3, 30^2+5^3, 5^2+10^3} = 4;
a(5)=92025: A045634(92025) = #{303^2+6^3, 255^2+30^3, 213^2+36^3, 152^2+41^3, 30^2+45^3} = 5.
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CROSSREFS
| Sequence in context: A135313 A022695 A197858 * A067169 A011339 A166243
Adjacent sequences: A060858 A060859 A060860 * A060862 A060863 A060864
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KEYWORD
| nonn
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AUTHOR
| David W. Wilson (davidwwilson(AT)comcast.net), May 04 2001
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EXTENSIONS
| a(14) and a(16)-a(18) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Dec 13 2008
a(0) and examples from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 17 2010
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