A273153 - OEIS

A273153

a(n) = Numerator of (0 followed by 1's) - n/2^n.

0, 1, 1, 5, 3, 27, 29, 121, 31, 503, 507, 2037, 1021, 8179, 8185, 32753, 4095, 131055, 131063, 524269, 262139, 2097131, 2097141, 8388585, 2097149, 33554407, 33554419, 134217701, 67108857, 536870883, 536870897, 2147483617, 134217727, 8589934559, 8589934575, 34359738333

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OFFSET

0,4

COMMENTS

A060576(n+1) = 0, 1, 1, 1, 1, 1, 1, ... - (0(n) = Oresme(n) = 0, 1/2, 1/2, 3/8, 1/4, 5/32, 3/32, ...). Both sequences are autosequences of the first kind. f(n) = 0, 1/2, 1/2, 5/8, 3/4, 27/32, 29/32, 121/128, ... is an autosequence of the first kind. Without one 1/2, f(n) is an increasing sequence.

The numerators (1 followed by A075101(n)) are the same as in n/2^n.

LINKS

Table of n, a(n) for n=0..35.

OEIS Wiki, Autosequence

EXAMPLE

Array of differences of fractions (characteristic aspect of an autosequence of the first kind):

0, 1/2, 1/2, 5/8, 3/4, ...

1/2, 0, 1/8, 1/8, 3/32, ...

-1/2, 1/8, 0, -1/32, -1/32, ...

5/8, -1/8, -1/32, 0, 1/128, ...

-3/4, 3/32, 1/32, 1/128, 0, ...

...