A255332 - OEIS

%I #25 Feb 21 2015 23:05:43

%S -1,-1,-1,-5,-4,-4,-11,-11,-14,-13,-13,-10,-10,-16,-16,-22,-22,-25,

%T -24,-24,-21,-21,-33,-33,-33,-38,-38,-34,-34,-40,-40,-46,-46,-49,-48,

%U -48,-45,-45,-57,-57,-57,-50,-49,-61,-59,-59,-59,-64,-64,-60,-60,-72,-72,-72,-77,-77,-73,-73,-79,-79,-85,-85,-88,-87,-87,-84

%N Partial sums of A255331.

%C a(805) = 54 is the first positive term.

%C Is a(836) = -32 the last negative term?

%C The conspicuous "noncontinuity" which occurs in the scatter plot for the first time at n=5790 is caused by a sudden negative record at A255331(5790) = -708. Note that A255328(5790) = 708.

%H Antti Karttunen, <a href="/A255332/b255332.txt">Table of n, a(n) for n = 0..16140</a>

%H A. Karttunen, <a href="/A255332/a255332.png">Scatter plot of sequence plotted up to n=8590</a> (Drawn with the help of OEIS server's graph-utility).

%H A. Karttunen, <a href="https://oeis.org/plot2a?name1=A255332&amp;name2=A255333&amp;tform1=untransformed&amp;tform2=untransformed&amp;shift=0&amp;radiop1=ratio&amp;drawlines=true">Ratio A255332(n)/a(n) plotted with the help of OEIS-server</a>

%F a(0) = -1; for n >= 1: a(n) = a(n-1) + A255331(n).

%o (Scheme, with memoization-macro definec)

%o (definec (A255332 n) (if (zero? n) -1 (+ (A255332 (- n 1)) (A255331 n))))

%Y Cf. A255125, A255328, A255329, A255331, A255332, A255333.

%Y Analogous sequences: A218789, A230409.

%K sign,look

%O 0,4

%A _Antti Karttunen_, Feb 21 2015