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A098077
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n^2*(n+1)*(2n+1)/3.
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7
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Sum of all matrix elements M(i,j) = i^2 + j^2 (i,j = 1,...,n).
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FORMULA
| a(n) = Sum[Sum[(i^2+j^2), {i, 1, n}], {j, 1, n}]
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EXAMPLE
| 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
| Table[ Sum[i^2 + j^2, {i, n}, {j, n}], {n, 35}]
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CROSSREFS
| Sequence in context: A003283 A135188 A161007 * A063663 A071253 A069187
Adjacent sequences: A098074 A098075 A098076 * A098078 A098079 A098080
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KEYWORD
| nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Oct 24 2004
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EXTENSIONS
| 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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