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A353562 Prime shadows of highly composite numbers, A002182. 3
1, 2, 3, 4, 6, 10, 9, 14, 12, 20, 18, 28, 30, 42, 40, 36, 56, 60, 84, 100, 132, 140, 156, 126, 120, 196, 198, 168, 200, 264, 280, 312, 252, 440, 392, 396, 520, 336, 400, 528, 560, 624, 504, 880, 784, 792, 1040, 840, 936, 1360, 1320, 1176, 1120, 1560, 1008, 1760, 1568, 1584, 2080, 1680, 1872, 2720, 2640, 2352, 2240, 3120 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Sequence is injective (no duplicate values occur) because A002182 is a subsequence of A025487.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A181819(A002182(n)).

a(n) = A122111(A329902(n)).

PROG

(PARI)

v002182 = readvec("b002182_to.txt"); \\ Prepared from b-file of A002182 with gawk ' { print $2 } '

A002182(n) = v002182[n];

A181819(n) = factorback(apply(e->prime(e), (factor(n)[, 2])));

A353562(n) = A181819(A002182(n));

CROSSREFS

Cf. A002182, A025487, A122111, A181819, A329902.

Cf. also A353561, A353568.

Sequence in context: A122397 A359679 A339670 * A347733 A347798 A047417

Adjacent sequences: A353559 A353560 A353561 * A353563 A353564 A353565

KEYWORD

nonn

AUTHOR

Antti Karttunen, Apr 29 2022

STATUS

approved

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Last modified March 31 21:40 EDT 2023. Contains 361673 sequences. (Running on oeis4.)