A337289 Numbers k such that k+1 is in A095096 and k is in A020899.

3, 5, 8, 13, 17, 21, 25, 28, 32, 34, 38, 41, 45, 50, 52, 55, 59, 62, 66, 71, 73, 79, 81, 84, 89, 93, 96, 100, 105, 107, 113, 115, 118, 122, 126, 128, 131, 136, 140, 144, 148, 151, 155, 160, 162, 168, 170, 173, 177, 181, 183, 186, 191, 195, 198, 202, 204, 207, 212, 216, 220, 224, 227

Offset

1,1

Comments

The asymptotic density of this sequence is (5-sqrt(5))/10 = A244847 (Shutov, 2020). - Amiram Eldar, Dec 23 2025

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Anton Shutov, On the Sum of Digits of the Zeckendorf Representations of Two Consecutive Numbers, The Fibonacci Quarterly, Vol. 58, No. 3 (2020), pp. 203-207.

Mathematica

SequencePosition[Mod[DigitCount[Select[Range[0, 3000], BitAnd[#, 2 #] == 0 &], 2, 1], 2], {1, 0}][[;; , 1]] - 1 (* Amiram Eldar, Feb 05 2023 *)

Crossrefs

Cf. A020899, A095096, A244847, A337287, A337288, A337290, A337634, A337635, A337636, A337637.

Sequence in context: A289013 A357048 A331467 * A097431 A123929 A036715

Adjacent sequences: A337286 A337287 A337288 * A337290 A337291 A337292

Keyword

nonn,base

Author

N. J. A. Sloane, Sep 12 2020

Status

approved