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 A305667 Engel expansion whose sum has the concatenation of its terms as decimal part. Case a(1) = 3. 12
 3, 41, 480, 3570, 4893, 7999, 33195, 52784, 72024, 175468, 621177, 832820, 6728999, 8151748, 78184626, 273362479, 883593178, 3960000113, 28999908410, 195575352926, 750833617579, 1453443477101, 9100308145444, 49027044651379, 67795387220152, 78305516479292 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..26. Eric Weisstein's World of Mathematics, Engel expansion EXAMPLE 1/3 = 0.3333... 1/3 + 1/(3*41) = 0.341463... 1/3 + 1/(3*41) + 1/(3*41*480) = 0.341480352... The sum is 0.3 41 480 3570 4893 7999 ... MAPLE P:=proc(q, h) local a, b, c, d, n, x; x:=1; a:=1/h; b:=ilog10(h)+1; c:=h; d:=h; print(d); for n from x to q do if trunc(evalf(a+1/(c*n), 100)*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/(c*n); c:=c*n; print(n); fi; od; end: P(10^9, 3); CROSSREFS Cf. A302932, A302933, A303388, A304285, A304286, A304287, A304288, A304289, A305661, A305662, A305663, A305664, A305665, A305666, A305668. Sequence in context: A159249 A328509 A087544 * A213378 A189356 A155672 Adjacent sequences: A305664 A305665 A305666 * A305668 A305669 A305670 KEYWORD nonn,base AUTHOR Paolo P. Lava, Jun 12 2018 EXTENSIONS a(5)-a(26) from Giovanni Resta, Jun 12 2018 STATUS approved

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Last modified March 3 15:08 EST 2024. Contains 370512 sequences. (Running on oeis4.)