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A075136
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Numerator of the generalized harmonic number H(n,4,1).
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5
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1, 6, 59, 812, 14389, 104038, 534113, 15837352, 177575597, 6681333014, 278042982799, 93928709068, 665521987201, 35665695484178, 684591747070657, 42155877944972752, 42527303541794647, 986175536059084606
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The denominators are in A051539. See A075135 for more details.
Numerators of the partial sums of the divergent series 1/3 + 1/7 + 1/11 + . . 1/(4n-1).
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FORMULA
| Sum 1/a(n) = 1.111939597509272224249... - Cino Hilliard (hillcino368(AT)gmail.com), Dec 21 2003
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MATHEMATICA
| a=4; b=1; maxN=20; s=0; Numerator[Table[s+=1/(a n + b), {n, 0, maxN-1}]]
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PROG
| (PARI) sumrecip(n, a, b) = { s=0; default(realprecision, n); forstep(j=b, n, a, s=s+1/j; print1(numerator(s)", ") ) }
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CROSSREFS
| Cf. A051539, A075135.
Sequence in context: A024269 A114501 A089153 * A024382 A053987 A024270
Adjacent sequences: A075133 A075134 A075135 * A075137 A075138 A075139
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KEYWORD
| easy,frac,nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Sep 04 2002
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