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 A232098 a(n) is the largest m such that m! divides n^2; a(n) = A055881(n^2). 9
 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 4, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 4, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 4, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 4, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 6, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 4, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 4, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS For all n, A055881(n) <= a(n), and probably also a(n) <= A055874(n). Moreover, a(n) > A055881(n) if and only if A055874(n) > A055881(n), thus A055926 gives (also) all the positions where this sequence differs from A055881. Please see Comments section in A055926 for the proof. Differs from A055874 for the first time at n=840, where a(840)=7, while A055874(840)=8. A232099 gives all the positions where such differences occur. LINKS Antti Karttunen, Table of n, a(n) for n = 1..10080 FORMULA a(n) = A055881(A000290(n)) = A055881(n^2). PROG (Scheme) (define (A232098 n) (A055881 (A000290 n))) CROSSREFS Cf. A055881, A055874, A055926, A232096, A232099, A233267. Sequence in context: A055881 A332202 A204917 * A055874 A195155 A178544 Adjacent sequences: A232095 A232096 A232097 * A232099 A232100 A232101 KEYWORD nonn AUTHOR Antti Karttunen, Nov 18 2013 STATUS approved

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Last modified December 6 12:26 EST 2023. Contains 367601 sequences. (Running on oeis4.)