A064105 2nd column of 3rd-order Zeckendorf array A136189.

2, 8, 11, 15, 21, 27, 30, 36, 39, 43, 49, 52, 56, 62, 68, 71, 75, 81, 87, 90, 96, 99, 103, 109, 115, 118, 124, 127, 131, 137, 140, 144, 150, 156, 159, 165, 168, 172, 178, 181, 185, 191, 197, 200, 204, 210, 216, 219, 225, 228, 232, 238, 241, 245, 251

Offset: 1

Author

Naohiro Nomoto, Sep 17 2001

Keywords

• easy
• nonn

Links

• A.H.M. Smeets, Table of n, a(n) for n = 1..20000

Crossrefs

Cf. A020942, A064106, A136189.

Formula

Any number n has a unique representation as a sum of terms from {2, 3, 4, 6, 9, 13, 19, ...} (cf. A000930) such that no two terms are adjacent or pen-adjacent; e.g. 8=6+2. Sequence gives all n where that representation involves 2.

a(n) = A020942(n) + A136495(n). - Alan Michael Gómez Calderón, Dec 21 2024

a(n) = A381841(n) - 1. - Jeffrey Shallit, Mar 08 2025

Extensions

Offset corrected by N. J. A. Sloane, Apr 29 2024