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 A303388 Sequence gives the denominators, in increasing values, of Egyptian fractions such that their alternating sum has the concatenation of these denominators as decimal part. a(1) = 3. 21
 3, 299, 98957, 118885566690, 7993597110943689863079 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Similar to A302932. a(6) > 10^40. - Giovanni Resta, Apr 23 2018 LINKS Eric Weisstein's World of Mathematics, Egyptian fraction Eric Weisstein's World of Mathematics, Trott constants (similar but with continued fractions) EXAMPLE We start from 3 because 1/3 = 0.3333... Then the next integer is 299 because 1/3 - 1/299 = 0.32998885. Next term is 98957 because 1/3 - 1/299 + 1/98957 = 0.3299989571272... and so on. The alternating sum is 0.3 299 98957 118885566690 ... MAPLE with(numtheory): P:=proc(q) local a, b, d, n, t; a:=1/3; b:=1; d:=3; print(d); t:=1; for n from 1 to q do if trunc(evalf(a+(-1)^t/n, 100)*10^(b+ilog10(n)+1))=d*10^(ilog10(n)+1)+n then b:=b+ilog10(n)+1; d:=d*10^(ilog10(n)+1)+n; a:=a+(-1)^t/n; t:=t+1; print(n); fi; od; end: P(10^20); CROSSREFS Cf. A302932, A302933. Sequence in context: A104821 A282195 A334177 * A328044 A119065 A119069 Adjacent sequences:  A303385 A303386 A303387 * A303389 A303390 A303391 KEYWORD nonn,base,more AUTHOR Paolo P. Lava, Apr 23 2018 EXTENSIONS a(4)-a(5) from Giovanni Resta, Apr 23 2018 STATUS approved

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Last modified May 26 00:32 EDT 2020. Contains 334613 sequences. (Running on oeis4.)