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A164363

The number of 1's in the n-th stage of A164349.

1, 1, 2, 3, 6, 12, 23, 46, 91, 182, 364, 727, 1454, 2908, 5816, 11631, 23262, 46523, 93046, 186092, 372183, 744366, 1488732, 2977463, 5954926, 11909851, 23819702, 47639404, 95278807, 190557614, 381115228, 762230456, 1524460911, 3048921822, 6097843643

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OFFSET

1,3

COMMENTS

A164349 is generated as follows. Start with the string 01, and at each stage copy the previous string twice and remove the last symbol.

Since the number of symbols in the whole string is 2^n + 1, A164363 + A164362 = 2^n + 1.

LINKS

Paul Tek, Table of n, a(n) for n = 1..3324

FORMULA

A recurrence is given in terms of A164364(n) = A164349(2^n):

a(n+1) = 2*a(n) - A164364(n).

EXAMPLE