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Search: id:A125849
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| A125849 |
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a(n) = sum_{m=1..n-1} floor[m(n-2)/2]^2. |
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+0
2
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| 0, 0, 0, 1, 14, 62, 220, 547, 1260, 2444, 4560, 7685, 12650, 19466, 29484, 42567, 60760, 83672, 114240, 151689, 200070, 258070, 331100, 417131, 523204, 646372, 795600, 966797, 1171170, 1403234, 1676780, 1984655, 2343600, 2744496, 3207424
(list; graph; listen)
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OFFSET
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0,5
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FORMULA
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G.f.:(x^3*(x^6+18*x^5+35*x^4+62*x^3+31*x^2+12*x+1))/((x+1)^4*(x-1)^6) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 28 2009]
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MAPLE
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for n from 0 to 15 do add( floor(m*(n-2)/2)^2, m=1..n-1) ; print(n, %) ; od: (R. J. Mathar)
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MATHEMATICA
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f[n_] := Sum[ Floor[m (n - 2)/2]^2, {m, n - 1}]; Table[ f@n, {n, 0, 35}] - Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 3 2008
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CROSSREFS
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Sequence in context: A164540 A140184 A025415 this_sequence A003695 A022674 A044152
Adjacent sequences: A125846 A125847 A125848 this_sequence A125850 A125851 A125852
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KEYWORD
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nonn
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AUTHOR
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Jerry Metzger (jerry_metzger(AT)und.nodak.edu), Jul 09 2008
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 3 2008
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