The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A320284 Pierce expansion whose sum has the concatenation of its terms as decimal part. Case a(1) = 3. 10
 3, 322, 991, 8111, 52473, 60206, 529366, 957640, 7693680, 69425274 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(10) is the last term because the sequence cannot be further extended (see A305668 for the reason why in a similar sequence). - Giovanni Resta, Oct 11 2018 LINKS Table of n, a(n) for n=1..10. Eric Weisstein's World of Mathematics, Pierce Expansion. EXAMPLE 1/3 = 0.3333... 1/3 - 1/(3*322) = 0.33229813... 1/3 - 1/(3*322) + 1/(3*322*991) = 0.33229918124... 1/3 - 1/(3*322) + 1/(3*322*991) - 1/(3*322*991*8111)= 0.332299181115244... The sum is 0.3 322 991 8111 ... MAPLE P:=proc(q, h) local a, b, c, d, n, t, x; x:=1; a:=1/h; b:=ilog10(h)+1; c:=h; d:=h; print(d); t:=1; for n from x to q do if trunc(evalf(a+(-1)^t/(c*n), 500)*10^(b+ilog10(n)+1))=d*10^(ilog10(n)+1)+n then x:=n+1; b:=b+ilog10(n)+1; d:=d*10^(ilog10(n)+1)+n; a:=a+(-1)^t/(c*n); c:=c*n; t:=t+1; print(n); fi; od; end: P(10^9, 3); CROSSREFS Cf. A305667, A305668. Sequence in context: A080976 A228192 A272318 * A235334 A160070 A112895 Adjacent sequences: A320281 A320282 A320283 * A320285 A320286 A320287 KEYWORD nonn,base,fini,full AUTHOR Paolo P. Lava, Oct 09 2018 EXTENSIONS a(5)-a(10) from Giovanni Resta, Oct 11 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 18 21:09 EDT 2024. Contains 373487 sequences. (Running on oeis4.)