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A036571 Binary packing of Connell sequence (shifted once right). 2
0, 1, 3, 11, 27, 91, 347, 859, 2907, 11099, 43867, 109403, 371547, 1420123, 5614427, 22391643, 55946075, 190163803, 727034715, 2874518363, 11464452955, 45824191323, 114543668059, 389421575003 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Binary representation of n has 1's at positions specified by Connell sequence (A001614).

LINKS

Table of n, a(n) for n=0..23.

FORMULA

a(0)=0, a(n) = a(n-1)+(2^((2*n - floor((1/2)*(1+sqrt(8*n - 7))))-1))

EXAMPLE

347=101011011 in binary, with 1's at positions 1,2,4,5,7,9.

CROSSREFS

A001614, A048721, A048722.

Sequence in context: A289842 A077776 A113836 * A003060 A136983 A210611

Adjacent sequences:  A036568 A036569 A036570 * A036572 A036573 A036574

KEYWORD

nonn

AUTHOR

Antti Karttunen

STATUS

approved

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Last modified March 26 21:07 EDT 2019. Contains 321552 sequences. (Running on oeis4.)