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 A325727 a(n) is defined by the condition that the decimal expansion of the Sum_{n>=1} 1/(Sum_{k=1..n} a(k)) = 1/a(1) + 1/(a(2)-a(1)) + 1/(a(3)-a(2)+a(1)) + ... begins with the concatenation of these numbers; also a(1) = 11 and a(n) > a(n-1). 3
 11, 52, 9943537, 9881972526746, 9201489001757012121335125, 82921502495183923916318126922414429034029157972857 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS At any step only the least value greater than a(n) is taken into consideration. LINKS Eric Weisstein's World of Mathematics, Egyptian fraction EXAMPLE 1/11 = 0.090909... 1/11 + 1/(52-11) = 0.1152993... 1/11 + 1/(52-11) + 1/(9943537-52+11) = 0.11529943537979... The sum is 0.11 53 5254 ... MAPLE P:=proc(q, h) local a, b, d, n, t, z; a:=1/h; b:=length(h); d:=h; print(d); t:=h; for n from t+1 to q do z:=evalf(evalf(a+1/(n-t), 100)*10^(b+length(n)), 100); z:=trunc(z-frac(z)); if z=d*10^length(n)+n then b:=b+length(n); d:=d*10^length(n)+n; t:=n-t; a:=a+1/t; print(n); fi; od; end: P(10^20, 11); CROSSREFS Cf. A304288, A304289, A305661, A305662, A305663, A305664, A305665, A305666, A305667, A305668, A307007, A307020, A307021, A307022, A320023, A320284, A320306, A320307, A320308, A320309, A320335, A320336, A324222, A324223, A325726, A325726, A325728. Sequence in context: A304280 A231386 A191099 * A004622 A045471 A086715 Adjacent sequences:  A325724 A325725 A325726 * A325728 A325729 A325730 KEYWORD nonn,base AUTHOR Paolo P. Lava, May 17 2019 EXTENSIONS a(4)-a(6) from Giovanni Resta, May 17 2019 STATUS approved

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Last modified December 7 05:14 EST 2019. Contains 329839 sequences. (Running on oeis4.)