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A212427
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a(n) = 17*n + A000217(n-1).
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3
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0, 17, 35, 54, 74, 95, 117, 140, 164, 189, 215, 242, 270, 299, 329, 360, 392, 425, 459, 494, 530, 567, 605, 644, 684, 725, 767, 810, 854, 899, 945, 992, 1040, 1089, 1139, 1190, 1242, 1295, 1349, 1404, 1460, 1517, 1575, 1634, 1694, 1755, 1817, 1880, 1944, 2009
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listen;
history;
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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a(n) = (16+n)*(17+n)/2 - 16*17/2 = 17*n + (n-1)*n/2 = n*(n+33)/2.
Sum_{n>=1} 1/a(n) = 2*A001008(33)/(33*A002805(33)) = 53676090078349/216605329340400.
Sum_{n>=1} (-1)^(n+1)/a(n) = 4*log(2)/33 - 14606816124167/340379803249200. (End)
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MATHEMATICA
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Table[-17 (17 - 1)/2 + (17 + n) (16 + n)/2, {n, 0, 100}]
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PROG
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CROSSREFS
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Cf. A000217, A000096, A001008, A002805, A055998-A056000, A056115, A056119, A056121, A056126, A051942, A101859, A132754-A132758, A212428.
For n > 22, T(n,17) matches A074170 but with opposite sign.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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