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A327967 Positions of records in A327966. 4
0, 1, 2, 6, 9, 14, 33, 62, 177, 414, 1155, 1719, 2625, 4018, 6849, 9770, 17675, 30206, 90609, 164088, 336006, 757995, 1290874, 2029875, 4059746, 7037655, 17594075, 50850483, 68589598, 186888243, 373659254 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Starting offset is zero to align with the indexing used in A189760, as this is conjecturally also the least k such that A327966(k) = n.

For at least n = 1, 3, 4, 5, 6, 7, 10, 14, 15, 17, 18, 21, 23, 24, 25, 26, 27, 28, 29, a(n) = A327965(a(1+n)). For example, 30206 = A327965(90609) and 90609 = A327965(164088).

Applying A327968 to these terms yields: 0, 0, 1, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, ...

See also comments in A189760.

LINKS

Table of n, a(n) for n=0..30.

PROG

(PARI)

A003415(n) = {my(fac); if(n<1, 0, fac=factor(n); sum(i=1, matsize(fac)[1], n*fac[i, 2]/fac[i, 1]))}; \\ From A003415

A327938(n) = { my(f = factor(n)); for(k=1, #f~, f[k, 2] = (f[k, 2]%f[k, 1])); factorback(f); };

A327965(n) = if(n<=1, 0, A327938(A003415(n)));

A327966(n) = if(!n, 0, 1+A327966(A327965(n)));

k=0; n=0; m=-1; while(k<32, if(!(n%2^27), print1("(", n, "), ")); if((t=A327966(n))>m, write("b327967.txt", k, " ", n); m = t; k++); n++);

CROSSREFS

Cf. A327965, A327966.

Differs from A189760 for the first time at n=19, as a(19) = 164088, while A189760(19) = 260343.

Sequence in context: A217001 A320666 A079023 * A189760 A049634 A120387

Adjacent sequences:  A327964 A327965 A327966 * A327968 A327969 A327970

KEYWORD

nonn

AUTHOR

Antti Karttunen, Oct 01 2019

STATUS

approved

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Last modified July 24 06:56 EDT 2021. Contains 346273 sequences. (Running on oeis4.)