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A263082 a(n) = Max( A262503(k) : k=0,1,2,3,...,n ), where A262503(k) = largest x such that A155043(x) = k.

%I A263082 #27 Oct 12 2015 13:55:14
%S A263082 0,2,6,12,18,22,30,34,42,48,60,72,84,96,108,120,132,140,140,140,140,
%T A263082 140,140,140,150,156,168,180,180,184,192,204,216,228,240,248,264,280,
%U A263082 280,280,280,288,296,312,312,320,328,340,352,364,372,372,372,372,384,396,420,420,420,420,432,450,468,480,504,520,540,560,572,580,594,612,612,618,622,628,648,672,672,672,672,672
%N A263082 a(n) = Max( A262503(k) : k=0,1,2,3,...,n ), where A262503(k) = largest x such that A155043(x) = k.
%C A263082 From position a(n)+1 onward only terms > n will occur in A155043.
%H A263082 Antti Karttunen, <a href="/A263082/b263082.txt">Table of n, a(n) for n = 0..10005</a>
%F A263082 a(0) = 0; for n >= 1, a(n) = max(A262503(n),a(n-1)).
%F A263082 Other identities and observations:
%F A263082 For all n >= 0 and for any k > a(n): A155043(k) > n. [See the comment above.]
%F A263082 For all n >= 0: A155043(a(n)) <= n.
%o A263082 (Scheme, with memoization-macro definec)
%o A263082 (definec (A263082 n) (if (zero? n) n (max (A262503 n) (A263082 (- n 1)))))
%Y A263082 Cf. A155043, A262503, A263077, A263079.
%K A263082 nonn
%O A263082 0,2
%A A263082 _Antti Karttunen_, Oct 09 2015