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Search: id:A111620
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| 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1
(list; graph; listen)
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OFFSET
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1,5
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COMMENT
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A sequence of just 1's and 2's.
2n divided A111619 is: 2,2,2,2,1,2,1,2,2,2,2,2,1,2,1,2,2,2,1,2,1,2,1,1,1,1,2,1,2,2,2,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,2,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,2,2,2,1,2,2,2,1,2,..., Table[ n/g[n, n - 1], {n, 2, 144, 2}].
A111620(n) plus the n-th entry immediately above = 3.
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MATHEMATICA
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f[n_] := f[n] = Block[{a}, a[0] = 1; a[l_] := a[l] = Block[{k = 1, s = Sum[ a[i]*x^i, {i, 0, l - 1}]}, While[ IntegerQ[ Last[ CoefficientList[ Series[(s + k*x^l)^(1/n), {x, 0, l}], x]]] != True, k++ ]; k]; Table[ a[j], {j, 0, 144}]]; g[n_, m_] := f[n][[m]]; Table[ 3 - n/g[n, n - 1], {n, 2, 144, 2}] (* or *) Table[ 2*g[n, n - 1]/n, {n, 2, 144, 2}]
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CROSSREFS
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Cf. A111618.
Sequence in context: A030600 A079700 A135362 this_sequence A111628 A025921 A136044
Adjacent sequences: A111617 A111618 A111619 this_sequence A111621 A111622 A111623
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 03 2005
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