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 A225627 a(n) = lcm(A000793(n),p1,p2,...,pk) for such a partition {p1+p2+...+pk} of n that maximizes this value among all partitions of n. 4
 1, 1, 2, 6, 12, 30, 30, 84, 120, 180, 210, 420, 660, 780, 1260, 4620, 5460, 5460, 5460, 9240, 13860, 13860, 16380, 32760, 120120, 180180, 180180, 235620, 180180, 471240, 1021020, 1021020, 1141140, 1141140, 2282280, 2282280, 4476780, 4476780, 6846840, 6846840 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Row 2 of A225630. This could be called a "twice-iterated Landau's function." LINKS FORMULA a(n) = A225636(n)*A000793(n). PROG (Scheme): (define (A225627 n) (let ((maxlcm (list 0))) (fold_over_partitions_of n (A000793 n) lcm (lambda (p) (set-car! maxlcm (max (car maxlcm) p)))) (car maxlcm))) (define (fold_over_partitions_of m initval addpartfun colfun) (let recurse ((m m) (b m) (n 0) (partition initval)) (cond ((zero? m) (colfun partition)) (else (let loop ((i 1)) (recurse (- m i) i (+ 1 n) (addpartfun i partition)) (if (< i (min b m)) (loop (+ 1 i)))))))) CROSSREFS Cf. A000793, A225630, A225628, A225629, A225636. Sequence in context: A229487 A195166 A225646 * A237704 A181826 A143176 Adjacent sequences:  A225624 A225625 A225626 * A225628 A225629 A225630 KEYWORD nonn AUTHOR Antti Karttunen, May 13 2013 STATUS approved

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Last modified February 20 00:28 EST 2019. Contains 320329 sequences. (Running on oeis4.)