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Search: id:A098077
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| 2, 20, 84, 240, 550, 1092, 1960, 3264, 5130, 7700, 11132, 15600, 21294, 28420, 37200, 47872, 60690, 75924, 93860, 114800, 139062, 166980, 198904, 235200, 276250, 322452, 374220, 431984, 496190, 567300, 645792, 732160, 826914, 930580, 1043700
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OFFSET
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1,1
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COMMENT
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Sum of all matrix elements M(i,j) = i^2 + j^2 (i,j = 1,...,n).
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FORMULA
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a(n) = Sum[Sum[(i^2+j^2), {i, 1, n}], {j, 1, n}]
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EXAMPLE
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a(2) = (1^2+1^2) + (1^2+2^2) + (2^2+1^2) + (2^2+2^2) = 2 + 5 + 5 + 8 = 20
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MATHEMATICA
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Table[ Sum[i^2 + j^2, {i, n}, {j, n}], {n, 35}]
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CROSSREFS
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Sequence in context: A003283 A135188 A161007 this_sequence A063663 A071253 A069187
Adjacent sequences: A098074 A098075 A098076 this_sequence A098078 A098079 A098080
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KEYWORD
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nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Oct 24 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 01 2004
New definition from Ralf Stephan, Dec 01, 2004
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