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URL: https://oeis.org/A026354

⇱ A026354 - OEIS

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A026354
a(n) = a(m) if a(m) has already occurred exactly once and n = a(m)+m-2, else a(n) = least positive integer that has not yet occurred.
5
1, 2, 3, 3, 4, 5, 4, 6, 5, 7, 8, 6, 9, 10, 7, 11, 8, 12, 13, 9, 14, 10, 15, 16, 11, 17, 18, 12, 19, 13, 20, 21, 14, 22, 23, 15, 24, 16, 25, 26, 17, 27, 18, 28, 29, 19, 30, 31, 20, 32, 21, 33, 34, 22, 35, 23, 36, 37, 24, 38, 39, 25, 40, 26, 41, 42
OFFSET
1,2
FORMULA
a(n)=n for n<4, a(n)=A026242(n-2)+2 for all n>2, a(n)=A026272(n-4)+3 for n>4. - M. F. Hasler, Sep 17 2014
There is a 35-state automaton that accepts, in parallel, the Fibonacci (Zeckendorf) representation of n and a(n). See the file a026354.pdf. - Jeffrey Shallit, Dec 21 2023
PROG
(PARI) A026354=vector(2+#A026242, n, if(n>3, A026242[n-2]+2, n)) \\ Assumes the vector A026242 is defined, see there for PARI code. - M. F. Hasler, Sep 17 2014
CROSSREFS
Cf. A026272.
Sequence in context: A115728 A188553 A335680 * A375464 A179840 A374131
KEYWORD
nonn
STATUS
approved