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A351075 Numbers k such that the maximal exponent in the prime factorization of A327860(k) is less than A051903(k), the maximal exponent in the prime factorization of k. 8
2, 4, 6, 9, 12, 30, 32, 40, 48, 60, 63, 64, 68, 75, 76, 81, 96, 104, 108, 112, 128, 160, 192, 210, 212, 220, 224, 225, 240, 242, 243, 245, 248, 250, 256, 270, 272, 275, 276, 279, 280, 284, 288, 304, 312, 320, 324, 336, 352, 384, 420, 423, 424, 425, 428, 436, 448, 456, 459, 464, 472, 480, 484, 486, 488, 490, 492, 495, 496 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Numbers k for which A328391(k) < A051903(k).
LINKS
PROG
(PARI)
A051903(n) = if((1==n), 0, vecmax(factor(n)[, 2]));
A327860(n) = { my(s=0, m=1, p=2, e); while(n, e = (n%p); m *= (p^e); s += (e/p); n = n\p; p = nextprime(1+p)); (s*m); };
isA351075(n) = (A051903(A327860(n)) < A051903(n));
CROSSREFS
Cf. A003415, A276086, A051903, A327860, A328391, A351076 (complement), A351077 (and its characteristic function).
Positions of negative terms in A351074.
Subsequence of A351038.
Cf. also A350075.
Sequence in context: A005690 A364378 A005779 * A261417 A360393 A098387
KEYWORD
nonn,base
AUTHOR
Antti Karttunen, Feb 01 2022
STATUS
approved

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Last modified August 18 19:26 EDT 2024. Contains 375273 sequences. (Running on oeis4.)