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Search: id:A130818
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| A130818 |
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Decimal expansion of number whose Engel expansion is the sequence of squares, i.e. 1, 4, 9, 16,... |
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+0
1
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| 1, 2, 7, 9, 5, 8, 5, 3, 0, 2, 3, 3, 6, 0, 6, 7, 2, 6, 7, 4, 3, 7, 2, 0, 4, 4, 4, 0, 8, 1, 1, 5, 3, 3, 3, 5, 3, 2, 8, 5, 8, 4, 1, 1, 0, 2, 7, 8, 5, 4, 5, 9, 0, 5, 4, 0, 7, 0, 8, 3, 9, 7, 5, 1, 6, 6, 4, 3, 0, 5, 3, 4, 3, 2, 3, 2, 6, 7, 6, 3, 4, 2, 7, 2, 9, 5, 1, 7, 0, 8, 8, 5, 5, 6, 4, 8, 5, 8, 9, 8, 9, 8, 4, 5, 9
(list; cons; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Engel, F. "Entwicklung der Zahlen nach Stammbruechen" Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg. pp. 190-191, 1913.
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LINKS
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Eric Weisstein's World of Mathematics, Engel Expansion
Eric Weisstein's World of Mathematics, Modified Bessel Function of the First Kind
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FORMULA
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Equal to Sum(n=1,infinity, 1/n!^2) or BesselI(0,2) - 1. - Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Nov 12 2007
Equals A070910-1. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 13 2008
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MATHEMATICA
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\!\(N[ \[ Sum ]\+\(n = 1\)\%1000 1\/\((\(n!\))\)\^2, 200 ]\)
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CROSSREFS
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Cf. A006784, A064648, A101689.
Sequence in context: A011355 A021362 A011054 this_sequence A114940 A120483 A124823
Adjacent sequences: A130815 A130816 A130817 this_sequence A130819 A130820 A130821
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KEYWORD
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cons,easy,nonn
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AUTHOR
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Stephen Casey (hexomino(AT)gmail.com), Jul 17 2007
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