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Search: id:A145067
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| 0, -1, 1, 8, 22, 45, 79, 126, 188, 267, 365, 484, 626, 793, 987, 1210, 1464, 1751, 2073, 2432, 2830, 3269, 3751, 4278, 4852, 5475, 6149, 6876, 7658, 8497, 9395, 10354, 11376, 12463, 13617, 14840, 16134, 17501, 18943, 20462, 22060, 23739, 25501
(list; graph; listen)
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OFFSET
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1,4
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FORMULA
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a(1) = 0; a(n) = a(n-1) + (n-1)^2 - 2 for n > 0.
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EXAMPLE
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a(2) = a(1) + 1^2 - 2 = 0 + 1 - 2 = -1; a(3) = a(2) + 2^2 - 2 = -1 + 4 - 2 = 1.
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MATHEMATICA
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lst={0}; s=0; Do[s+=n^2-2; AppendTo[lst, s], {n, 5!}]; lst
Table[Sum[(i^2 + n - 1), {i, 0, n}], {n, -1, 41}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 11 2009]
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PROGRAM
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(PARI) {a=2; for(n=0, 42, print1(a=a+n^2-2, ", "))}
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CROSSREFS
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Cf. A008865 (n^2 - 2), A002522 (n^2 + 1), A145066 (partial sums of A002522, starting at n=1), A005563 ((n+1)^2 - 1), A051925 (zero followed by partial sums of A005563).
Sequence in context: A058508 A134783 A069099 this_sequence A112684 A048489 A124701
Adjacent sequences: A145064 A145065 A145066 this_sequence A145068 A145069 A145070
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KEYWORD
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sign
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 30 2008
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EXTENSIONS
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Edited. - Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 17 2008
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