A064106 3rd column of 3rd-order Zeckendorf array A136189.

3, 12, 16, 22, 31, 40, 44, 53, 57, 63, 72, 76, 82, 91, 100, 104, 110, 119, 128, 132, 141, 145, 151, 160, 169, 173, 182, 186, 192, 201, 205, 211, 220, 229, 233, 242, 246, 252, 261, 265, 271, 280, 289, 293, 299, 308, 317, 321, 330, 334, 340, 349, 353, 359, 368

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
• Jeffrey Shallit, The Narayana Morphism and Related Words, arXiv:2503.01026 [math.CO], 2025.

Crossrefs

Cf. A020942, A064105, A136189, A202342.

Formula

Any number n has a unique representation as a sum of terms from {3, 4, 6, 9, 13, 19, ...} (cf. A000930) such that no two terms are adjacent or pen-adjacent; e.g. 12=9+3. Sequence gives all n where that representation involves 3.

a(n) = A064105(n) + A202342(n). - Alan Michael Gómez Calderón, Dec 22 2024

Extensions

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