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0, 0, 5, 21, 54, 110, 195, 315, 476, 684, 945, 1265, 1650, 2106, 2639, 3255, 3960, 4760, 5661, 6669, 7790, 9030, 10395, 11891, 13524, 15300, 17225, 19305, 21546, 23954, 26535, 29295, 32240, 35376, 38709, 42245, 45990, 49950, 54131, 58539
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| n-th cube (A000578(n)) minus n-th triangular number (A000217(n)).
Partial sums of A045944. [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 25 2009]
a(n) = (2*n^3-n^2-n)/2. [From Vincenzo Librandi, Dec 12 2010; edited by Klaus Brockhaus, Dec 12 2010]
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EXAMPLE
| a(4) = 4^3-4*5/2 = 64-10 = 54.
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MATHEMATICA
| f[n_]:=6*n+5; s1=s2=0; lst={}; Do[a=f[n]; s1+=a; s2+=s1; AppendTo[lst, s2], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 25 2009]
Table[Sum[(n^2 - i), {i, 1, n}], {n, 1, 36}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 11 2009]
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PROG
| (MAGMA) [ n^3-n*(n+1)/2: n in [0..50] ];
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CROSSREFS
| Cf. A000578, A000217, A045944.
Sequence in context: A039659 A147238 A147834 * A201440 A096942 A122244
Adjacent sequences: A160375 A160376 A160377 * A160379 A160380 A160381
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KEYWORD
| nonn
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AUTHOR
| Gil Broussard (gilbroussard(AT)bellsouth.net), May 11 2009
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EXTENSIONS
| Definition clarified and offset changed from 1 to 0 by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 12 2010
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