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A342716
Frobenius number of the upper Wythoff sequence (A001950), starting with the n-th term.
1
3, 16, 19, 42, 42, 42, 55, 58, 76, 79, 79, 110, 110, 110, 118, 121, 144, 144, 144, 155, 160, 173, 181, 181, 207, 207, 207, 220, 223, 254, 254, 254, 275, 275, 275, 283, 283, 309, 309, 309, 320, 325, 343, 346, 346, 377, 377, 377, 385, 388, 406, 409, 409, 422
OFFSET
1,1
COMMENTS
The Frobenius number of a set S is the largest positive integer t such that t cannot be written as a nonnegative integer linear combination of the elements of S.
The sequence a(n) is "Fibonacci-synchronized"; there is an automaton that recognizes the Fibonacci representation of the pairs (n, a(n)) in parallel. This means specific values of a(n) are easily computed.
LINKS
Jeffrey Shallit, Frobenius numbers and automatic sequences, arXiv:2103.10904 [math.NT], 2021.
CROSSREFS
Cf. A001950, A342715 (analog for the lower Wythoff numbers).
Sequence in context: A022126 A127006 A042075 * A042777 A041461 A277724
KEYWORD
nonn
AUTHOR
Jeffrey Shallit, Mar 19 2021
STATUS
approved