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 A260733 a(n) = number of steps needed to reach zero when starting from k = (n^2)-1 and repeatedly applying the map that replaces k with k - A002828(k), where A002828(k) = the least number of squares that add up to k. 12
 0, 1, 3, 5, 9, 13, 18, 23, 30, 37, 44, 52, 62, 71, 81, 91, 104, 117, 131, 144, 159, 174, 190, 207, 224, 243, 262, 281, 301, 321, 343, 365, 388, 412, 437, 461, 487, 514, 539, 567, 596, 625, 654, 684, 715, 748, 781, 814, 848, 883, 918, 955, 991, 1030, 1067, 1105, 1145, 1187, 1227, 1269, 1311, 1354, 1396, 1441, 1486, 1531, 1579, 1624, 1673, 1723, 1773, 1821 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Antti Karttunen, Table of n, a(n) for n = 1..1024 FORMULA a(n) = A260731((n^2)-1). a(n) = A260732(n)-1. MATHEMATICA Table[Length[#] - 2 &@ NestWhileList[# - (If[First@ # > 0, 1, Length[ First@ Split@ #] + 1] &@ SquaresR[Range@ 4, #]) &, n^2, # != 0 &], {n, 72}] (* Michael De Vlieger, Sep 08 2016 *) PROG (Scheme, two variants, the other one utilizing memoization-macro definec) (definec (A260733 n) (if (= 1 n) 0 (+ (A260734 (- n 1)) (A260733 (- n 1))))) (define (A260733 n) (A260731 (- (* n n) 1))) CROSSREFS One less than A260732. Cf. A002828, A255131, A260731, A260734. Cf. also A261223. Sequence in context: A152737 A032635 A036713 * A265429 A356254 A122248 Adjacent sequences: A260730 A260731 A260732 * A260734 A260735 A260736 KEYWORD nonn AUTHOR Antti Karttunen, Aug 12 2015 STATUS approved

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Last modified December 5 17:16 EST 2022. Contains 358588 sequences. (Running on oeis4.)