A092539 - OEIS

A092539

Binary representation of a(n) equals first n+1 terms of A051023.

1, 3, 6, 13, 27, 55, 110, 220, 441, 883, 1766, 3532, 7064, 14129, 28258, 56517, 113035, 226070, 452140, 904281, 1808562, 3617124, 7234249, 14468499, 28936999, 57873998, 115747997, 231495994, 462991989, 925983979, 1851967959, 3703935918

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

a(n+1) = 2*a(n) + d, where d = 0/1 with no obvious rule. The sequence is a digit representation of the central column of cellular automaton Rule 30, A051023. Primes in the sequence, A092540.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Rule 30.

FORMULA

a(n+1) = 2*a(n) + A051023(n+1). - Reinhard Zumkeller, Jun 08 2013

EXAMPLE

a(6) = 55_10 = 110111_2

MATHEMATICA

a(n_) := FromDigits[Take[A051023, n], 2]

PROG

(Haskell)

a092539 n = a092539_list !! n