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Search: id:A112086
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| A112086 |
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a(n) = the period of the first differences of the n-th row of A112060 (or A112070), or 0 if that row has not a periodic first difference. |
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9
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OFFSET
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1,1
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COMMENT
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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, ...
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CROSSREFS
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These are the periods of A010684, A112132, A112133, A112134, A112135, A112136, A112137, etc. (For 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: A050838 A155978 A071243 this_sequence A070325 A076660 A046441
Adjacent sequences: A112083 A112084 A112085 this_sequence A112087 A112088 A112089
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KEYWORD
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nonn,more
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AUTHOR
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Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Aug 28 2005
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