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a(n) = greatest k such that A155043(k+A262509(n)) < A155043(A262509(n)).
4

%I #12 Oct 24 2015 12:21:23

%S 5197,5193,5177,5115,5113,4419,4417,4259,4245,4243,4239,4059,4047,

%T 3991,3941,3633,3593,3449,3445,3437,3423,3421,2897,2789,2517,2261,

%U 2079,2077,2067,2063,1527,1379,1135,1127,1117,1103,1083,575,23457,23451,21689,21671,20241,19003,18977,18649,18063,18019,14853,14159,13659,12707,11681,10993,10991,10297,10281,9151,9149,9145,9111,8897,8535,8147,6835,6813,5539,5537

%N a(n) = greatest k such that A155043(k+A262509(n)) < A155043(A262509(n)).

%C a(n) = largest k such that A155043(k+A262509(n)) < A262508(n).

%C There might occur also negative terms, but no zeros.

%C For all terms a(n) > 0, a(n)+A262509(n) = A263081(n) is by necessity one of the leaves (A045765) in the tree generated by edge-relation A049820(child) = parent. See also comments in A262908.

%F a(n) = A263078(A262509(n)).

%F a(n) = A263081(n) - A262509(n).

%F Other identities. For all n >= 1:

%F a(n) >= A262908(n).

%Y Cf. A000005, A049820, A045765, A262508, A262509, A262908, A263078, A263081.

%K nonn

%O 1,1

%A _Antti Karttunen_, Oct 09 2015