A033165 -id:A033165

Search: a033165 -id:a033165

Displaying 1-3 of 3 results found.

page 1

A033167

Positions of the incrementally largest terms in the continued fraction expansion of zeta(3), offset 1 variant.

+0
1

1, 2, 4, 29, 63, 572, 1556, 2013, 2530, 2760, 3019, 4159, 4741, 6820, 10565, 11666, 32859, 139893, 392130, 707970, 1049722, 2081165, 14990404, 36112276, 39552835, 42710787, 199618806

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Positions in this sequence correspond to the n-th term of A013631 at index n-1.

See A229055 for another version.

LINKS

Table of n, a(n) for n=1..27.

Eric Weisstein's World of Mathematics, Apery's Constant Continued Fraction

CROSSREFS

Cf. A229055 (= a(n) - 1), A013631 (continued fraction of zeta(3)), A033165, A000023, A033166.

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Eric W. Weisstein, Aug 23, 2000

More terms from Robert Gerbicz, Aug 22 2006

Edited (with more terms taken from A229055) by N. J. A. Sloane, Jun 16 2021

Edited for offset change in A013631. - Andrew Howroyd, Jul 10 2024

STATUS

approved

A033166

Incrementally largest terms in the continued fraction for zeta(3).

+0
2

1, 4, 18, 30, 428, 458, 527, 542, 659, 922, 1355, 1817, 3292, 4635, 6841, 162050, 197106, 270086, 270919, 344064, 2079442, 5492021, 196362299, 220581908, 1292221854, 5841289122, 11886461834

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..27.

Eric Weisstein's World of Mathematics, Apery's Constant Continued Fraction

CROSSREFS

Cf. A013631 (continued fraction of zeta(3)).

Cf. A229055 (positions of incrementally largest terms in the c.f. of zeta(3)).

Cf. A033165, A000023, A229055.

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Eric W. Weisstein, Aug 23 2000

More terms from Robert Gerbicz, Aug 22 2006

More terms from Eric W. Weisstein, Sep 16 2013

a(27) = 11886461834 from Eric W. Weisstein, Sep 17 2013

STATUS

approved

A229057

First occurrences of n in the continued fraction of zeta(3).

+0
3

0, 11, 24, 1, 63, 26, 16, 139, 9, 118, 20, 238, 174, 77, 180, 45, 199, 3, 82, 618, 752, 411, 176, 196, 413, 137, 145, 560, 232, 28, 2275, 1548, 659, 888, 297, 1039, 2278, 321, 1273, 1881, 344, 2925, 672, 253, 1960, 1541, 1680, 295, 5422

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Correctly indexed version of A033165.

LINKS

Eric W. Weisstein, Table of n, a(n) for n = 1..1714

Eric Weisstein's World of Mathematics, Apery's Constant Continued Fraction

CROSSREFS

Cf. A033165 (= a(n) + 1).

Cf. A013631 (continued fraction of zeta(3)).

KEYWORD

nonn

AUTHOR

Eric W. Weisstein, Sep 16 2013

STATUS

approved

page 1

Search completed in 0.007 seconds