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A067912 Engel expansion of zeta(4) = Pi^4/90 = Sum_{i>0} 1/i^4. 3
1, 13, 15, 19, 132, 1474, 1977, 10392, 12992, 44777, 59412, 170685, 217607, 704791, 818133, 1387423, 2208674, 3206215, 12732462, 13962681, 24593168, 39744274, 55804517, 130269696, 426536424, 546807194, 1030799587, 1139987135 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

MATHEMATICA

EngelExp[A_, n_] := Join[Array[1 &, Floor[A]], First@Transpose@

NestList[{Ceiling[1/Expand[#[[1]] #[[2]] - 1]], Expand[#[[1]] #[[2]] - 1]/1} &, {Ceiling[1/(A - Floor[A])], (A - Floor[A])/1}, n - 1]]; EngelExp[N[Pi^4/90, 7!], 20] (* G. C. Greubel, Dec 26 2016 *)

CROSSREFS

See A006784 for explanation of Engel expansions.

Cf. A059186, A053980.

Sequence in context: A166534 A126727 A257492 * A140646 A109656 A178724

Adjacent sequences:  A067909 A067910 A067911 * A067913 A067914 A067915

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, Mar 03 2002

STATUS

approved

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Last modified October 18 10:28 EDT 2017. Contains 293507 sequences.