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A233270 a(n) = A233271(n) - A179016(n). 13

%I #14 Jan 03 2014 10:43:32

%S 0,0,-1,0,0,0,1,0,0,2,1,2,0,0,3,3,4,3,4,3,3,0,0,4,4,5,4,6,5,5,3,5,5,6,

%T 4,5,4,4,0,0,5,8,9,10,13,13,15,16,17,18,18,17,17,19,19,17,17,18,18,17,

%U 16,15,13,13,10,9,8,5,0,0,6,9,14,17,18,20,22,21

%N a(n) = A233271(n) - A179016(n).

%C For all n>=2, a(1+A213710(n)) = n-2.

%C Except for a(2)=-1 (which seems to be the only negative term in the sequence), the sequences A218600 and A213710 give the positions of zeros.

%C Furthermore, each subrange [A213710(n)..A218600(n+1)] is palindromic. A233268 gives the middle points of those ranges, the sequence A234018 gives the values at those points, while A234019 gives the maximum term in that range in this sequence.

%H Antti Karttunen, <a href="/A233270/b233270.txt">Rows 0..16, flattened</a>

%F a(n) = A233271(n) - A179016(n).

%F a(A218602(n)) = a(n). [This is just a claim that each row is palindrome]

%e This irregular table begins as:

%e 0;

%e 0;

%e -1;

%e 0, 0;

%e 0, 1, 0;

%e 0, 2, 1, 2, 0;

%e 0, 3, 3, 4, 3, 4, 3, 3, 0;

%e 0, 4, 4, 5, 4, 6, 5, 5, 3, 5, 5, 6, 4, 5, 4, 4, 0;

%e ...

%e After zero, each row n is A213709(n-1) elements long.

%o (Scheme)

%o (define (A233270 n) (- (A233271 n) (A179016 n)))

%Y Except for a(2)=-1 (which seems to be the only negative term in the sequence), the sequences A218600 and A213710 give the positions of zeros.

%Y Cf. A080468, A179016, A233271, A233268, A233274, A234018, A234019, A234020.

%K sign,tabf

%O 0,10

%A _Antti Karttunen_, Dec 14 2013

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Last modified April 18 09:47 EDT 2024. Contains 371779 sequences. (Running on oeis4.)