A247715 Odd numbers n containing 16384 as the highest power of 2 in the Collatz (3x+1) iteration.

5461, 7281, 29125, 38833, 51777, 77667, 103555, 116501, 122731, 138073, 155333, 163641, 184097, 207109, 245463, 276145, 276147, 310669, 327283, 368193, 368195, 414221, 414225, 436377, 466005, 490925, 552291, 552293, 581835, 621333, 654565, 689583, 736387, 736389, 828437, 828451

Offset

1,1

Comments

a(n)*2^k also contains 16384 as the highest power of 2 for any k >= 0.

Links

Table of n, a(n) for n=1..36.

Prog

(PARI)
Max2(n)=v=[n]; while(n!=1, if(n==Mod(0, 2), n=n/2; v=concat(v, n)); if(n==Mod(1, 2)&&n!=1, n=3*n+1; v=concat(v, n))); k=1; while(vecsearch(vecsort(v), 2^k), k++); 2^(k-1)
n=1; while(n<10^4, if(n%2&&Max2(n)==16384, print1(n, ", ")); n++)

Crossrefs

Cf. A008908, A010120.

Sequence in context: A251052 A259514 A217255 * A043580 A104111 A028548

Adjacent sequences: A247712 A247713 A247714 * A247716 A247717 A247718

Keyword

nonn

Author

Derek Orr, Sep 22 2014

Status

approved