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A345143 Reflection of the concatenation of the previous two terms minus the previous term. 0

%I #22 Jun 11 2021 17:29:50

%S 0,1,9,82,207,70021,11937681,1867379174326,623471971900739499585,

%T 5859949370091168271294333980238096,

%U 6908320893334921728606040790129494417723642675198936230

%N Reflection of the concatenation of the previous two terms minus the previous term.

%F a(n) = A004086(a(n-2)||a(n-1)) - a(n-1) for n >= 2, a(n) = n for n <= 1.

%e a(4) = 207 since 28(9) - 82 = 207.

%p a:= proc(n) option remember; `if`(n<2, n, (s-> parse(cat(seq(

%p s[-i], i=1..length(s))))-a(n-1))(cat("", a(n-2), a(n-1))))

%p end:

%p seq(a(n), n=0..11); # _Alois P. Heinz_, Jun 11 2021

%t a[0] = 0; a[1] = 1; a[n_] := a[n] = FromDigits[Join @@ (Reverse @ IntegerDigits[#] & /@ {a[n - 1], a[n - 2]})] - a[n - 1]; Array[a, 11, 0] (* _Amiram Eldar_, Jun 09 2021 *)

%o (Python)

%o def f(v): return int((str(v[-2])+str(v[-1]))[::-1]) - v[-1]

%o def aupton(nn):

%o alst = [0, 1]

%o for n in range(2, nn+1): alst.append(f(alst))

%o return alst[:nn+1]

%o print(aupton(10)) # _Michael S. Branicky_, Jun 09 2021

%Y Cf. A004086, A068109.

%K nonn,base

%O 0,3

%A _George Bull_, Jun 09 2021

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)