A263082 - OEIS

%I #27 Oct 12 2015 13:55:14

%S 0,2,6,12,18,22,30,34,42,48,60,72,84,96,108,120,132,140,140,140,140,

%T 140,140,140,150,156,168,180,180,184,192,204,216,228,240,248,264,280,

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

%C From position a(n)+1 onward only terms > n will occur in A155043.

%H Antti Karttunen, <a href="/A263082/b263082.txt">Table of n, a(n) for n = 0..10005</a>

%F a(0) = 0; for n >= 1, a(n) = max(A262503(n),a(n-1)).

%F Other identities and observations:

%F For all n >= 0 and for any k > a(n): A155043(k) > n. [See the comment above.]

%F For all n >= 0: A155043(a(n)) <= n.

%o (Scheme, with memoization-macro definec)

%o (definec (A263082 n) (if (zero? n) n (max (A262503 n) (A263082 (- n 1)))))

%Y Cf. A155043, A262503, A263077, A263079.

%K nonn

%O 0,2

%A _Antti Karttunen_, Oct 09 2015