

A112086


a(n) = the period of the first differences of the nth row of A112060 (or A112070), or 0 if that row does not have a periodic first difference.


8




OFFSET

1,1


COMMENTS

These values have been computed empirically. An independent recomputation or a mathematical proof would be welcome. The initial terms factored: 2, 2*2, 2*3, 2*2*2*3*3, 2*2*7*3*5, 2*2*2*3*3*3*3*5, ...


LINKS

Table of n, a(n) for n=1..7.


CROSSREFS

These are the periods of A010684, A112132, A112133, A112134, A112135, A112136, A112137, etc. (Periods of A112138 & A112139 not computed yet.) If we sum the period length prefixes of these sequences, as Sum_{i=1..a(1)} A010684(i), Sum_{i=1..a(2)} A112132(i), Sum_{i=1..a(3)} A112133(i), etc., we get the sequence 4, 12, 60, 420, 4620, 60060, 1021020, ... (cf. A097250) and when doubled, it yields: 8, 24, 120, 840, 9240, 120120, 2042040, ... (cf. A066631 and A102476).
Sequence in context: A271842 A261864 A071243 * A070325 A199578 A294920
Adjacent sequences: A112083 A112084 A112085 * A112087 A112088 A112089


KEYWORD

nonn,more


AUTHOR

Antti Karttunen, Aug 28 2005


STATUS

approved



