A353562 Prime shadows of highly composite numbers, A002182.

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

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