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Search: id:A085037
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| A085037 |
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Smallest square divisible by the n-th triangular number (n(n+1)/2). |
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+0
1
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| 1, 9, 36, 100, 225, 441, 196, 36, 225, 3025, 4356, 6084, 8281, 11025, 3600, 4624, 2601, 3249, 36100, 44100, 53361, 64009, 19044, 900, 4225, 13689, 15876, 164836, 189225, 216225, 15376, 17424, 314721, 354025, 44100, 49284, 494209, 549081, 152100
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Except for the first term, number n such thate n=x^2+y^3. Example: 9=1^2+2^3; 36=3^2+3^3; 100=6^2+4^3 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 09 2009]
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FORMULA
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a(n)=a(n-1)+n^3 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 09 2009]
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MAPLE
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For n=2, a(2)=1+8=9; n=3, a(3)=9+27=36; n=4, a(4)=36+64=100 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 09 2009]
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CROSSREFS
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Sequence in context: A027602 A134537 A066647 this_sequence A000537 A114286 A098928
Adjacent sequences: A085034 A085035 A085036 this_sequence A085038 A085039 A085040
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 19 2003
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EXTENSIONS
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More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jun 25 2003
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