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Search: id:A126264
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| 8, 26, 54, 92, 140, 198, 266, 344, 432, 530, 638, 756, 884, 1022, 1170, 1328, 1496, 1674, 1862, 2060, 2268, 2486, 2714, 2952, 3200, 3458, 3726, 4004, 4292, 4590, 4898, 5216, 5544, 5882, 6230, 6588, 6956, 7334, 7722, 8120, 8528, 8946, 9374, 9812, 10260
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OFFSET
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1,1
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COMMENT
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8 + 26 + 54 +... (n terms) = (1/3)*n*(n+1)*(5n+7); e.g. sum of the first 6 terms = (1/3)*6*7*37 = 518.
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REFERENCES
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L. B. W. Jolley, "Summation of Series", Dover Publications, 1961, p. 12
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FORMULA
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a(n) = 5*n^2 + 3*n, n = 1,2,3...
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EXAMPLE
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a(24) = 5*24^2 + 3*24 = 2880 + 72 = 2952
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MAPLE
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a:=n->5*n^2+3*n: seq(a(n), n=1..55); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 17 2007
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MATHEMATICA
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s=0; lst={s}; Do[s+=n++ +8; AppendTo[lst, s], {n, 0, 7!, 10}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]
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CROSSREFS
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Sequence in context: A143894 A126176 A074238 this_sequence A085690 A005897 A111694
Adjacent sequences: A126261 A126262 A126263 this_sequence A126265 A126266 A126267
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KEYWORD
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nonn,easy
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 22 2006
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 17 2007
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