A254637 Maximal element of Image^inf({ 2 }) under repeated base-n zero-split doubling.

2, 16, 2, 192, 128, 32768, 4, 69632, 23552, 25722880, 425984, 717895680, 1051828224, 217079873536, 8, 2270641389568, 10603200512, 156423849771008, 950175531008, 25160124578398208, 385584983965696, 450589122059304960, 40722497536, 53279734579488838656

Offset

2,1

Comments

Define f_b(x) to be the set of base b numbers left after splitting 2x at its zero digits and Image_b(S) = union_{x in S}{ { x } union f_b(S) }, then a(n) = max(Image_n^inf({ 2 }))

Links

Hugo van der Sanden, Table of n, a(n) for n = 2..62

Hugo van der Sanden, Perl and C implementations, Feb 03 2015

Example

a(8) = 4 since f_8(2) = { 4 }, f_8(4) = { 1 }, f_8(1) = { 2 } so Image_8^inf({ 2 }) = { 1, 2, 4 }.

Crossrefs

Cf A254638, A113917

Sequence in context: A362884 A217028 A145684 * A197226 A141239 A303990

Adjacent sequences: A254634 A254635 A254636 * A254638 A254639 A254640

Keyword

nonn,easy

Author

Hugo van der Sanden, Feb 03 2015

Status

approved