|
|
A113860
|
|
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.
|
|
2
|
|
|
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;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
An instance of a Jasinski Integer Sequence using the convention JIS[number,counting system] as defined for example in A080355. This is JIS [Catalan constant,binary]=JIS[0.9159655941772190150546..,2].
|
|
LINKS
|
Table of n, a(n) for n=0..24.
|
|
CROSSREFS
|
Cf. A080355, A080567, A099969, A099970, A099971, A099972.
Sequence in context: A184935 A099152 A289317 * A080355 A100964 A080077
Adjacent sequences: A113857 A113858 A113859 * A113861 A113862 A113863
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
Artur Jasinski, Jan 25 2006
|
|
EXTENSIONS
|
Naming a sequence after oneself is deprecated. - N. J. A. Sloane.
Corrected and extended by R. J. Mathar, Aug 31 2007
|
|
STATUS
|
approved
|
|
|
|