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A075136 Numerator of the generalized harmonic number H(n,4,1). 5
1, 6, 59, 812, 14389, 104038, 534113, 15837352, 177575597, 6681333014, 278042982799, 93928709068, 665521987201, 35665695484178, 684591747070657, 42155877944972752, 42527303541794647, 986175536059084606 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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).

LINKS

Table of n, a(n) for n=1..18.

FORMULA

Sum 1/a(n) = 1.111939597509272224249... - Cino Hilliard, Dec 21 2003

MATHEMATICA

a=4; b=1; maxN=20; s=0; Numerator[Table[s+=1/(a n + b), {n, 0, maxN-1}]]

Numerator[Accumulate[1/Range[1, 69, 4]]] (* Harvey P. Dale, Dec 15 2014 *)

PROG

(PARI) sumrecip(n, a, b) = { s=0; default(realprecision, n); forstep(j=b, n, a, s=s+1/j; print1(numerator(s)", ") ) }

CROSSREFS

Cf. A051539, A075135.

Sequence in context: A256035 A296169 A089153 * A024382 A053987 A024270

Adjacent sequences:  A075133 A075134 A075135 * A075137 A075138 A075139

KEYWORD

easy,frac,nonn

AUTHOR

T. D. Noe, Sep 04 2002

STATUS

approved

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Last modified January 18 16:27 EST 2020. Contains 331011 sequences. (Running on oeis4.)