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 A261129 Highest exponent in prime factorization of the swinging factorial (A056040). 0
 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 4, 4, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 4, 4, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 4, 4, 2, 4, 4, 4, 3, 3, 4, 4, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,5 COMMENTS A000120(floor(n/2)) <= a(n) <= A000523(n), (n>=2). A263922 is a subsequence. LINKS FORMULA a(n) = A051903(A056040(n)) for n>=2. MAPLE swing := n -> n!/iquo(n, 2)!^2: max_exp := n -> max(seq(s[2], s=ifactors(n)[2])): seq(max_exp(swing(n)), n=2..88); PROG (Sage) swing = lambda n: factorial(n)//factorial(n//2)^2 max_exp = lambda n: max(e for p, e in n.factor()) [max_exp(swing(n)) for n in (2..88)] CROSSREFS Cf. A000120, A000523, A056040, A263922. Sequence in context: A332999 A334144 A232551 * A309121 A305871 A089049 Adjacent sequences:  A261126 A261127 A261128 * A261130 A261131 A261132 KEYWORD nonn AUTHOR Peter Luschny, Oct 31 2015 STATUS approved

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Last modified September 22 11:06 EDT 2020. Contains 337289 sequences. (Running on oeis4.)