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 A324223 a(n) is defined by the condition that the decimal expansion of Sum_{n>0} 1/a(n)^n = 1/a(1)^1 - 1/a(2)^2 + 1/a(3)^3 - ... begins with the concatenation of these numbers; also a(1) = 3 and a(n) > a(n-1). 9
 3, 32, 37, 64, 533, 960 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(6) is the last term because the sequence cannot be extended. At any step a(n) is chosen as the least number greater than a(n-1) that meets the requirement. Up to 960 the sum is 0.3 32 37 64 533 960 0692... and the zero after 960 cannot be removed. If the limitation a(n) > a(n-1) were removed then the sequence would be 3, 32, 37, 22, 48 and 48 would be the last term because after it the sum presents 0911... and the zero cannot be removed. - Giovanni Resta, Feb 20 2019 LINKS EXAMPLE 1/3^1 = 0.3333... 1/3^1 - 1/32^2 = 0.332356... 1/3^1 - 1/32^2 + 1/37^3 = 0.33237651... The sum is 0.3 32 37 64 533 ... MAPLE P:=proc(q, h) local a, b, d, n, t; a:=1/h; b:=ilog10(h)+1; d:=h; print(d); t:=2; for n from 1 to q do if trunc(evalf(a+(-1)^(t+1)/n^t, 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-1)/n^t; t:=t+1; print(n); fi; od; end: P(10^6, 3); CROSSREFS Cf. A304288, A304289, A305661, A305662, A305663, A305664, A305665, A305666, A305667, A305668, A320023, A320284, A320306, A320307, A320308, A320309, A320335, A320336, A324222. Sequence in context: A119937 A254312 A304048 * A197368 A114257 A197524 Adjacent sequences:  A324220 A324221 A324222 * A324224 A324225 A324226 KEYWORD nonn,base,fini,full AUTHOR Paolo P. Lava, Feb 18 2019 EXTENSIONS a(6) added by Giovanni Resta, Feb 20 2019 STATUS approved

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Last modified June 22 20:04 EDT 2021. Contains 345388 sequences. (Running on oeis4.)