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A068109
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a(1) = 0, a(2) = 1, a(n) = concatenate(a(n-1) and a(n-2)) - a(n-1).
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2
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0, 1, 9, 82, 747, 74035, 73961712, 7396097312323, 739609723836276649389, 7396097238362026884173559820662934, 7396097238362026884166163723424572712725550276455986455
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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LINKS
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EXAMPLE
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a(5) = 82|9 - 82 = 747.
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MAPLE
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a:= proc(n) option remember; `if`(n<3, n-1, (l->
add(l[i]*10^(i-1), i=1..nops(l))-a(n-1))(map(
x-> convert(x, base, 10)[], [a(n-2), a(n-1)])))
end:
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MATHEMATICA
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a[1]=0; a[2]=1; a[n_]:=FromDigits[Join[IntegerDigits[a[n-1]], IntegerDigits[a[n-2]]]]-a[n-1]; Array[a, 12] (* Stefano Spezia, Apr 25 2023 *)
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PROG
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(Python)
def f(v): return int((str(v[-1])+str(v[-2]))) - v[-1]
def aupton(nn):
alst = [0, 1]
for n in range(2, nn+1): alst.append(f(alst))
return alst[:nn+1]
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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STATUS
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approved
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