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A098741
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a(n) = (p^2*(p+1)*(p+2))/6 where p is n-th prime.
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0
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8, 30, 175, 588, 3146, 5915, 16473, 25270, 52900, 130355, 169136, 338143, 505981, 610170, 865928, 1390455, 2123410, 2422371, 3510398, 4415916, 4929325, 6740280, 8197910, 10812165, 15214353, 17861951, 19308380, 22462938, 24177835, 27900265
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OFFSET
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1,1
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REFERENCES
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Related to "A pyramid of rectangles", Carmelo DiStefano, Journal of Recreational Mathematics, vol. 30, p. 69
Solution to a problem posted by Carmelo DiStefano (see above): Kee-Wai Lau, Journal of Recreational Mathematics, vol. 31, pp. 79-80 (2002-2003)
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LINKS
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EXAMPLE
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(2^2 * (2+1) * (2+2))/6 = 8
(3^2 * (3+1) * (3+2))/6 = 30
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MATHEMATICA
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Table[(p^2 (p+1)(p+2))/6, {p, Prime[Range[40]]}] (* Harvey P. Dale, Nov 11 2017 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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