A091270 Smallest number having in binary representation a prefix of length n that is also a suffix of its successor.

0, 2, 5, 13, 29, 61, 125, 253, 509, 1021, 2045, 4093, 8189, 16381, 32765, 65533, 131069, 262141, 524285, 1048573, 2097149, 4194301, 8388605, 16777213, 33554429, 67108861, 134217725, 268435453, 536870909, 1073741821

Offset: 0

Author

Reinhard Zumkeller, Dec 27 2003

Keywords

• nonn
• base

Comments

A091269(a(n)) = n and A091269(m) < n for m

a(n) = 2^(n+1) - 3 for n>2, cf. A036563.

Links

• Index entries for sequences related to binary expansion of n
• Eric Weisstein's World of Mathematics, Binary
• Index entries for linear recurrences with constant coefficients, signature (3,-2).

Crossrefs

Cf. A007088.

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