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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

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Last modified October 5 16:55 EDT 2022. Contains 357259 sequences. (Running on oeis4.)