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Search: id:A081253
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| A081253 |
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Numbers n such that A081252(m)/m^2 has a local minimum for m = n. |
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+0
4
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| 2, 4, 9, 18, 37, 74, 149, 298, 597, 1194, 2389, 4778, 9557, 19114, 38229, 76458, 152917, 305834, 611669, 1223338, 2446677, 4893354, 9786709, 19573418, 39146837, 78293674, 156587349, 313174698, 626349397, 1252698794, 2505397589
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The limit of the local minima, lim A081252(n)/n^2 = 1/14. For local maxima cf. A081254.
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LINKS
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Klaus Brockhaus, Illustration for A053646, A081252, A081253 and A081254
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FORMULA
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a(n) = floor(2^n*7/3)
a(n) = a(n-2) + 7*2^(n-2) for n > 1; a(n+2) - a(n) = A005009(n); a(n+1) - a(n) = A062092(n).
G.f.: -(x^2 - 2)/((x - 1)*(x + 1)*(2*x - 1)).
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EXAMPLE
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9 is a term since A081252(8)/8^2 = 5/64 = 0.078, A081252(9)/9^2 = 6/81 = 0.074, A081252(10)/10^2 = 8/100 = 0.080.
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CROSSREFS
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Cf. A053646, A081252, A081254, A005009, A062092.
Sequence in context: A155803 A056185 A152537 this_sequence A118255 A019299 A052932
Adjacent sequences: A081250 A081251 A081252 this_sequence A081254 A081255 A081256
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 17 2003
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