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Search: id:A113860
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| A113860 |
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Start with the binary representation of the Catalan constant (A104338, A006752) = 0.91596559... = sum_{i=1..infinity) b(i)/2^i, where b(i)=1,1,1,0,1,0,1,0,0,1,1,1,1.... Then a(n-1)=sum_{i=1..k: sum_{ j = 1..k} b(j)=n} b(i) * 2^(i-1). In words: scan the binary digits of the number, halt at each nonzero binary digit, add a power of 2 corresponding to the place of this digit after the comma, assign current partial sum to a(n), increment n. |
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+0
3
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| 1, 3, 7, 23, 87, 599, 1623, 3671, 7767, 15959, 81495, 343639, 867927, 1916503, 18693719, 152911447, 421346903, 958217815, 2031959639, 4179443287, 12769377879, 1112281005655, 9908374027863, 27500560072279, 97869304249943
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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An instance of a Jasinski Integer Sequence using the convention JIS[number,counting system] as defined for example in A080355. This is JIS [Catatlan constant,binary]=JIS[0.9159655941772190150546..,2].
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CROSSREFS
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Cf. A080355, A080567, A099969, A099970, A099971, A099972.
Sequence in context: A104088 A136508 A099152 this_sequence A080355 A100964 A080077
Adjacent sequences: A113857 A113858 A113859 this_sequence A113861 A113862 A113863
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KEYWORD
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nonn,base
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Jan 25 2006
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EXTENSIONS
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Naming a sequence after oneself is deprecated. - njas
Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 31 2007
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