Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #12 Nov 22 2020 18:12:38
%S 1,1006,1844,1943,2121,6730,9457,16986,26554,51607,190310,624191,
%T 982911,8532607,228180184,328852129,1087944970,3446300146,6297250622,
%U 13963928263,21739950459,22065516615,40578950043,147724913629,979260576959,988238658616,3024618853544
%N Engel expansion of zeta(10) = Sum_{i>0} 1/i^10.
%o (PARI) \\ a(1)=1 and with 1500 significant digits:
%o s=zeta(10); for(i=1,30,s=s*ceil(1/s)-1; print1(ceil(1/s),","); );
%Y See A006784 for explanation of Engel expansions.
%Y Cf. A013668.
%K easy,nonn
%O 1,2
%A _Benoit Cloitre_, Mar 03 2002