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

1,1

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.

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

Crossrefs

Cf. A020942, A064105, A136189, A202342.

Sequence in context: A341013 A192786 A277738 * A022411 A115229 A224924

Adjacent sequences: A064103 A064104 A064105 * A064107 A064108 A064109

Keyword

easy,nonn,changed

Author

Naohiro Nomoto, Sep 17 2001

Extensions

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

Status

approved