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A323368 Lexicographically earliest sequence such that a(i) = a(j) => A000035(i) = A000035(j) and A003557(i) = A003557(j) and A048250(i) = A048250(j), for all i, j. 5
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 15, 23, 24, 25, 26, 27, 28, 29, 21, 30, 31, 32, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 29, 31, 43, 44, 45, 46, 47, 48, 49, 46, 50, 51, 52, 53, 54, 55, 39, 56, 57, 58, 59, 60, 61, 62, 59, 46, 63, 64, 65, 66, 67, 62, 68, 51, 69, 70, 71, 58, 72, 73, 74, 75, 76, 77, 78, 79, 54, 80, 59, 75, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For all i, j:

  a(i) = a(j) => A007814(i) = A007814(j),

  a(i) = a(j) => A291751(i) = A291751(j),

  a(i) = a(j) => A296089(i) = A296089(j),

  a(i) = a(j) => A323238(i) = A323238(j).

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

PROG

(PARI)

up_to = 65537;

rgs_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(om, invec[i]), my(pp = mapget(om, invec[i])); outvec[i] = outvec[pp] , mapput(om, invec[i], i); outvec[i] = u; u++ )); outvec; };

A003557(n) = { my(f=factor(n)); for(i=1, #f~, f[i, 2] = f[i, 2]-1); factorback(f); };

A048250(n) = factorback(apply(p -> p+1, factor(n)[, 1]));

v323368 = rgs_transform(vector(up_to, n, [(n%2), A003557(n), A048250(n)]));

A323368(n) = v323368[n];

CROSSREFS

Cf. A000035, A003557, A048250, A291750, A291751, A323238, A323369.

Differs from A296089 for the first time at n=103, where a(103)=88, while A296089(103)=56.

Cf. also A323366.

Sequence in context: A081331 A296088 A296089 * A080686 A036218 A172275

Adjacent sequences:  A323365 A323366 A323367 * A323369 A323370 A323371

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jan 12 2019

STATUS

approved

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Last modified June 4 16:53 EDT 2020. Contains 334828 sequences. (Running on oeis4.)