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A302053 Squares (A000290) analog for nonstandard factorization process based on the sieve of Eratosthenes (A083221). 4
0, 1, 4, 9, 16, 25, 36, 45, 49, 64, 100, 105, 115, 121, 144, 169, 180, 189, 196, 203, 256, 265, 289, 297, 341, 361, 400, 420, 429, 460, 469, 475, 481, 484, 529, 537, 576, 585, 676, 697, 720, 745, 756, 765, 784, 803, 812, 817, 833, 841, 961, 1024, 1027, 1060, 1075, 1081, 1156, 1188, 1197, 1257, 1309, 1345, 1364, 1369, 1377, 1411, 1444 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Indexing starts with zero, with a(0) = 0, to match with the indexing of A000290.
After initial zero, gives the positions of odd terms in A302051.
After initial zero, contains values obtained with A250245(n^2) sorted into ascending order, or in other words, numbers n such that A250246(n) is a square (in A000290).
Numbers n such that for all terms in iteration sequence n, A302044(n), A302044(A302044(n)), A302044(A302044(A302044(n))), ..., applying A302045(n) gives an even number before the sequence settles to 1.
LINKS
PROG
(PARI) for(n=0, 4096, if(1==A302052(n), print1(n, ", ")));
CROSSREFS
Cf. A000290, A250245, A302051, A302040, A302044, A302045, A302052 (characteristic function).
Cf. A000302, A001248 (subsequences).
Sequence in context: A292676 A241971 A335640 * A162496 A159852 A343066
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 31 2018
STATUS
approved

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)