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Search: id:A095361
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| 2, 6, 12, 20, 37, 52, 106, 200, 369, 657, 1226, 2191, 4268, 8076, 15291, 28931, 55124, 105982, 202482, 391505
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OFFSET
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1,1
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COMMENT
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This is the average length of maximum Motzkin path prefix (i.e. non-diving portion) found in the "Jacobi-vectors" of all 4k+3 integers in range ]2^n,2^(n+1)]. See A095269-A095270.
The ratios before rounding are: 2, 6, 12, 20, 37.875, 52.9375, 106.28125, 200.25, 369.179687, 657.445312, 1226.675781, 2191.126953, 4268.283691, 8076.054443, 15291.317139, 28931.598755, 55124.513184, 105982.564758, 202482.488968, 391505.689705.
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FORMULA
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a(1) = 2, a(n) = floor(A095110(n)/A000079(n-2)) for n > 1.
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CROSSREFS
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A095362 gives the same ratios rounded to nearest integer. A095357 gives similar ratios computed only for 4k+3 primes.
Sequence in context: A003274 A121315 A078878 this_sequence A095362 A099885 A106372
Adjacent sequences: A095358 A095359 A095360 this_sequence A095362 A095363 A095364
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jun 12 2004
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