A380001 Fixed points of A378299.

0, 1, 13, 109, 877, 7021, 56173, 449389, 3595117, 28760941, 230087533, 1840700269, 14725602157, 117804817261, 942438538093, 7539508304749, 60316066437997, 482528531503981, 3860228252031853, 30881826016254829, 247054608130038637, 1976436865040309101, 15811494920322472813

Offset: 0

Author

Paolo Xausa, Jan 10 2025

Keywords

• nonn
• base
• easy

Examples

			For n >= 1, the binary representation of a(n) is 1 followed by (101 repeated n-1 times).
E.g., a(5) = 7021 = (1 101 101 101 101)_2.
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (9,-8).

Crossrefs

Cf. A378299.

Programs

Mathematica

Join[{0}, NestList[8*# + 5 &, 1, 25]]

Formula

a(0) = 0; a(n) = 8*a(n-1) + 5, for n >= 1.