cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A254638 Cardinality of Image^inf({ 2 }) under repeated base-n zero-split doubling.

Original entry on oeis.org

2, 6, 2, 20, 13, 72, 3, 92, 42, 308, 34, 900, 178, 1739, 4, 3349, 443, 4523, 387, 14364, 1827, 18672, 234, 39426, 15882, 52664, 8858, 128253, 28346, 123087, 5, 259207, 87797, 363512, 44545, 671389, 182549, 1336282, 18049, 1289210, 634402, 2679419, 156629
Offset: 2

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Author

Hugo van der Sanden, Feb 03 2015

Keywords

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) = | Image_n^inf({ 2 }) |.

Examples

			a(8) = 3 since f_8(2) = { 4 }, f_8(4) = { 1 }, f_8(1) = { 2 } so Image_8^inf({ 2 }) = { 1, 2, 4 } and |{ 1, 2, 4 }| = 3.
		

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