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A112086 a(n) = the period of the first differences of the n-th row of A112060 (or A112070), or 0 if that row does not have a periodic first difference. 8
2, 4, 6, 16, 72, 420, 3240 (list; graph; refs; listen; history; text; internal format)
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

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Last modified March 7 13:24 EST 2021. Contains 341886 sequences. (Running on oeis4.)