A075136 Numerator of the generalized harmonic number H(n,4,1).

1, 6, 59, 812, 14389, 104038, 534113, 15837352, 177575597, 6681333014, 278042982799, 93928709068, 665521987201, 35665695484178, 684591747070657, 42155877944972752, 42527303541794647, 986175536059084606

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