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A145066
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Partial sums of A002522, starting at n=1.
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4
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2, 7, 17, 34, 60, 97, 147, 212, 294, 395, 517, 662, 832, 1029, 1255, 1512, 1802, 2127, 2489, 2890, 3332, 3817, 4347, 4924, 5550, 6227, 6957, 7742, 8584, 9485, 10447, 11472, 12562, 13719, 14945, 16242, 17612, 19057, 20579, 22180, 23862, 25627
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| a(1) = 2; a(n) = a(n-1) + n^2 + 1 for n > 1.
a(n)=sum(k^2+1, k=1...n) = A000330(n) + n = n*(n+1)*(2*n+1)/6 + n [From Christoph Pacher (christoph.pacher(AT)ait.ac.at), Jul 23 2010]
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EXAMPLE
| a(2) = a(1) + 2^2 + 1 = 2 + 4 + 1 = 7; a(3) = a(2) + 3^2 + 1 = 7 + 9 + 1 = 17.
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MATHEMATICA
| lst={0}; s=0; Do[s+=n^2+1; AppendTo[lst, s], {n, 5!}]; lst
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PROG
| (PARI) {a=0; for(n=1, 42, print1(a=a+n^2+1, ", "))}
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CROSSREFS
| Cf. A002522 (n^2 + 1), A005563 ((n+1)^2 - 1), A051925 (zero followed by partial sums of A005563).
Equals A000330 plus n [From Christoph Pacher (christoph.pacher(AT)ait.ac.at), Jul 23 2010]
Sequence in context: A166381 A083723 A045947 * A014148 A070070 A033937
Adjacent sequences: A145063 A145064 A145065 * A145067 A145068 A145069
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 30 2008
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EXTENSIONS
| Edited. - Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 17 2008
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