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 A199474 Leftmost column in the monotonic justified array of all positive generalized Fibonacci sequences (A160271). 5
 1, 2, 3, 2, 4, 3, 5, 4, 3, 6, 5, 4, 7, 6, 5, 4, 8, 7, 6, 5, 9, 8, 7, 6, 5, 10, 9, 8, 7, 6, 11, 10, 9, 8, 7, 6, 12, 11, 10, 9, 8, 7, 13, 12, 11, 10, 9, 8, 7, 14, 13, 12, 11, 10, 9, 8, 15, 14, 13, 12, 11, 10, 9, 8, 16, 15, 14, 13, 12, 11, 10, 9, 17, 16, 15, 14 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Northwest corner of A160271: 1, 0, 1, 1, 2, 3, 5, 8, 13, 21, ... 2, 0, 2, 2, 4, 6, 10, 16, 26, 42, ... 3, 0, 3, 3, 6, 9, 15, 24, 39, 63, ... 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, ... 4, 0, 4, 4, 8, 12, 20, 32, 52, 84, ... 3, 1, 4, 5, 9, 14, 23, 37, 60, 97, ... 5, 0, 5, 5, 10, 15, 25, 40, 65, 105, ... 4, 1, 5, 6, 11, 17, 28, 45, 73, 118, ... 3, 2, 5, 7, 12, 19, 31, 50, 81, 131, ... ... LINKS Clark Kimberling, Orderings of the set of all positive Fibonacci sequences, in G. E. Bergum et al., editors, Applications of Fibonacci Numbers, Vol. 5 (1993), pp. 405-416. FORMULA a(n) = (s(n)^2 - n) * [s(n)^2 - s(n) >= n] + (s(n)^2 - n + s(n)) * [s(n)^2 - s(n) < n] where s(n) = ceiling(sqrt(n)). - Iliya Trub, Mar 17 2019 a(n) = A339399(2n). - Wesley Ivan Hurt, Jan 09 2022 a(n) = floor(ceiling(sqrt(4n))^2/4)+floor(sqrt(4n-2))-floor(sqrt(n)+1/2)-n+1. - Wesley Ivan Hurt, Jan 09 2022 CROSSREFS Cf. A160271, A199087, A199088, A339399. Sequence in context: A331253 A264116 A283368 * A246694 A054384 A026400 Adjacent sequences: A199471 A199472 A199473 * A199475 A199476 A199477 KEYWORD nonn AUTHOR Casey Mongoven, Nov 06 2011 STATUS approved

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Last modified December 2 23:09 EST 2022. Contains 358510 sequences. (Running on oeis4.)