OFFSET
1,1
COMMENTS
See A373557 (where elements in each set are listed in decreasing order) for more information.
LINKS
Paolo Xausa, Table of n, a(n) for n = 1..10000 (rows 1..2261 of the triangle, flattened).
Alistair Bird, Jozef Schreier, Schreier sets and the Fibonacci sequence, Out Of The Norm blog, May 13 2012.
Hùng Việt Chu, The Fibonacci Sequence and Schreier-Zeckendorf Sets, Journal of Integer Sequences, Vol. 22 (2019), Article 19.6.5.
FORMULA
T(n,k) = A373359(n,k) + 1.
EXAMPLE
Triangle begins:
Corresponding
(this sequence)
---------------------------------------------------------
1 2 10 {2}
2 4 100 {3}
3 8 1000 {4}
4 12 1100 {3, 4}
5 16 10000 {5}
6 20 10100 {3, 5}
7 24 11000 {4, 5}
8 32 100000 {6}
9 36 100100 {3, 6}
10 40 101000 {4, 6}
11 48 110000 {5, 6}
12 56 111000 {4, 5, 6}
...
MATHEMATICA
Join[{{2}}, Map[PositionIndex[Reverse[IntegerDigits[#, 2]]][1] &, Select[Range[4, 400, 4], DigitCount[#, 2, 1] < IntegerExponent[#, 2] + 1 &]]]
CROSSREFS
KEYWORD
nonn,tabf,base,easy
AUTHOR
Paolo Xausa, Jun 10 2024
STATUS
approved