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Search: id:A113737
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| A113737 |
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Decimal expansion of the first Paulinian constant. |
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+0
2
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| 3, 6, 6, 5, 7, 7, 1, 4, 0, 3, 9, 7, 5, 6, 6, 2, 7, 3, 7, 3, 4, 8, 0, 7, 0, 7, 4, 1, 0, 2, 8, 0, 3, 8, 8, 1, 0, 2, 6, 3, 9, 9, 2, 3, 9, 1, 9, 5, 5, 5, 9, 6, 1, 7, 4, 1, 4, 7, 8, 3, 0, 1, 7, 7, 7, 2, 7, 4, 2, 8, 7, 4, 7, 0, 4, 0, 5, 5, 2, 5, 1, 4, 4, 8, 7, 4, 4, 3, 4, 0, 5, 7, 4, 3, 3, 8, 6, 3, 5, 1, 2, 5, 3, 1, 3
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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Consider the sequence defined in A083952 as a binary number and convert it to decimal.
The n-th Paulinian constant as n-> inf. equals 1.
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EXAMPLE
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=0.3665771403975662737348070741028038810263992391955596174147830177...
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MATHEMATICA
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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)^(1/2), {x, 0, l}], x]]] != True, k++ ]; k]; t = Table[a[n], {n, 0, 370}]; RealDigits[ FromDigits[{t - 1, 0}, 2], 10, 111][[1]]
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CROSSREFS
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Cf. A083952.
Sequence in context: A016662 A105396 A074785 this_sequence A040006 A094011 A081289
Adjacent sequences: A113734 A113735 A113736 this_sequence A113738 A113739 A113740
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KEYWORD
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cons,nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 08 2005
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